When we use calculus for simple real-life problems, it becomes applied calculus. The beauty of calculus is that it is easy to understand and presents some basic and simple ideas which we can apply to many everyday scenarios. Many new methods, theorems, and hypotheses have been presented, and now calculus is applied in physics, biology, economics and engineering. Since the development of calculus in the 17th century, many other scientists have contributed to calculus, and it has evolved. Calculus of the infinitesimal means studying continuous changes using mathematics. ![]() These scientists studied the continuous motions of planets and moons, so the name “ calculus of the infinitesimal” was coined. ![]() Modern-day calculus was developed by none other than Sir Isaac Newton and Gottfried Leibniz. Simple algebraic derivatives, chain rule, and applied optimizationīasic Integration, Anti-derivatives, and calculation of area and volume using integrationĪlgebraic Integration, Advance integration via substitution methodĪdvance graphical, numerical, and algebraic functions. Polynomial, linear, logarithmic, exponential, and integral functions are included. Basic level logarithmic and exponential functions are sometimes included as well. Linear, Quadratic and polynomial functions are included. The table can be used as a side-by-side course outline comparison between applied calculus and calculus. The subject-wise fundamental differences in the course outlines included in applied calculus and calculus are presented in the table below. Sequences, series and geometric functions.Differential equations and their applications.Calculus-II is used to study change or continuous motions presented in the form of functions. So both pre-calculus and applied calculus include a discussion of procedures.Ĭalculus’ main focus is on limits, continuous functions, differentiation, and applications related to differentiations such as mean value theorems, Rolle’s theorem, extreme value theorem, etc.Ĭalculus-II is an advanced form of calculus-I, and it includes topics that are specifically included in the curriculum of engineering and science students. Pre-calculus only deals with functions, and the topics related to pre-calculus are revised before starting the applied calculus course. Major topics of applied calculus include:Īs the name suggests, pre-calculus is the pre-requisite for applied calculus, calculus –I, and calculus –II. It has the least amount of theorems compared to the rest of the calculus subjects, and it does not include a discussion of complex algebraic functions. ![]() It does not include any topics from trigonometry. The general course contents of applied calculus, pre-calculus, calculus – I, and calculus –II are presented below. On the other hand, applied calculus is studied mainly by economics and business administration students as their field does not involve complex calculus. Both these courses are covered in two semesters or a year. Students who choose to study calculus are mostly engineering or science students, and they study calculus in two parts calculus – I and calculus –II. Calculus applied is simple, and it does not include the the high-level calculus that scientists and engineers study. The main difference between Applied Calculus and Calculus is that Applied Calculus covers the basics of functions, derivatives and integrals but skips advanced topics related to derivatives and integration, which falls under Calculus. Read more Coefficient Matrix - Explanation and Examples
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![]() "Merge documents/pages" feature in Foxit PDF Editor supports fewer document formats than "create PDF files" feature in Foxit PDF Editor. Tips:When your mouse is hovering over the pages down or up in the navigation panel, the pages will scroll down or up so that you can locate a desired place to drop your extracted pages. Now, you are in the a.pdf document screen, move your cursor to the navigation panel, locate a position and release your mouse.You will notice your current tab is automatically switched to a.pdf. Open Pages navigation panel, click to select a page or press "ctrl+ mouse click" to select multi-pages, drag and move your cursor to the tab name as a.pdf that you want to merge pages into (hold your mouse). Open the other PDF document where you want to extract pages from. In the current opened document, for example say a.pdf, open Pages navigation panel. ![]() You can also merge only part of pages in an opened PDF document into other opened PDF document. Note: the file type could be any supported files as listed below. Inside Foxit PDF Editor, open a PDF document that you want to merge other files into, open Pages navigation panel.īrowse your folder to locate a file or files, drag and drop them into the navigation panel. You can merge one or multi-files into an existing opened file. Use the Pages right-clicking menu Merge documents or pages by dragging and dropping.Merge documents by Windows right-click context menu.Merge documents or pages by dragging and dropping.The supported commands are "drag and drop", Windows right-click menu, and the application built-in menus. There are a couple of ways to merge documents in Foxit PDF Editor. ![]() I can only surmise that it worked, because shortly after her false allegations about me hit the news I believe CBS quickly and quietly settled her case in a closed-door deal that was never meant to hit the media.Īll I ask is a few minutes of your time to read my entire statement as well as the letters of witness. I believe that I was used as a pawn by Eliza to show CBS that all she had to do was post one salacious statement on social media to effectively take a man down. The same month she hit me with her false Facebook allegations. Again, I found out through a media reporter that sometime during the month of January 2018 she received her 9.5 million dollars. I believe Eliza used her false allegations against me at the height of the #MeToo movement for her own monetary gain, to the tune of a $9.5 million settlement from CBS. I suddenly felt like there was a lot more motivating Eliza’s accusation than I first believed. Her contract on “Bull” was not renewed after 3 episodes in 2017 and she had filed a retaliation lawsuit. On December 13th, 2018 a story involving Eliza hit the media. That accuser then had to admit that their story was also a lie. A reporter recently disclosed to me that he nearly printed one of those lies but decided to investigate instead. I have had to endure other spurious allegations from people who wanted to jump on the band wagon, some of those lies were added to the story to validate the first lie. I have had to endure numerous threats on my life, as did some friends who spoke up for me. The media grabbed her fabricated story and spread it like wild fire, in turn ruining my reputation, hurting my family and friends, all without any evidence and no indication of remorse from her. When financial gain is the objective, truth is often given no credence. I’m certain that any statement debunking her story was not as sensational as her fabricated allegations. Any possibility of being allowed the same wide public forum to disprove Eliza’s statements had been denied me instantly and without conscience. Many directors, producers and colleagues said to me after reading my statement and witness letters, “You need to get this out to the media.”Īt the time of Eliza’s false statement on 1/13/18 many of the media outlets who contacted me were given the names and contact numbers of my witnesses but injudiciously choose not to contact any of them. Please read my letter of statement that will provide a full accounting along with just some of the letters of witness I sent out to over 240 work collogues and friends on 11/8/18, all prior to learning of her settlement with CBS that hit the media around 12/13/18. ![]() I believe that she made these false allegations for her own benefit and financial gain by using the growing #MeToo movement as her platform. Again, I was blind-sided by a series of untruthful allegations made by Eliza Dushku on Facebook. Eliza, however, seemed to benefit from the attention. The reporters who contacted me took the names and numbers of these people, but NONE of the reporters called any of my witnesses. The media and the world seemed un-interested in the truth and no one wanted to hear from any of the people who were there and knew what really happened. Thankfully, I also received calls from friends and co-workers who had information and proof of my innocence, completely contrary to Eliza’s claim. I was bombarded by calls from the media, hate mail, and even death threats. Eliza’s carefully constructed lie has become an ongoing assault on my entire life and I will never be rid of the stain from the accusation. There are no words to describe how traumatizing, soul crushing and frightening a false accusation like this can be, not only to me but to my entire family. The media picked up on the story and in a single day my reality was altered forever. On JanuEliza Dushku posted a statement on Facebook accusing me of sexual misconduct while working on the film “True Lies” in 1993. False Accusations A Statement Regarding Eliza Dushku’s Allegations ![]() Owning all the shops in a district results in a domination, which greatly expands all the shops in that district. If the player has more than one shop in a district, both shops expand, meaning the shop's value, prices, and max capital (the amount of money that can be invested into a shop) all increase. ![]() In the Standard rules, the board is divided into several color-coded districts and includes a stock market. There are two different ways to play: the Easy rules and the Standard rules. ![]() In Tour mode, the game ends once one player goes bankrupt, in Custom mode, this can be set to when two players go bankrupt or to have a last-man-standing rule. The player with the highest net worth automatically wins if the bankruptcy limit is met (although in a very rare case should two or more players have the same highest net worth, the player that goes later in the turn order wins). If the player's debt cannot be resolved at the end of their turn, then they go bankrupt all their assets are sold off if any remain and they are automatically eliminated from the game. Also, if a player auctions a shop from "Manage Shops" or gets Venture Card #74, the highest bid is credited to the original owner. Note that the bank only offers 75% of the shop price to a player if they are in debt. If the player's ready cash drops below zero during their turn, they must sell either stocks or a shop to try and get out of debt any shops sold for cash are auctioned (the winning bid gets paid to the bank). Net worth is the total combined amount of ready cash and value in stocks and shops and can be increased by having other players land on their shops and buying multiple shops in an area or investing in stocks and owned shops to increase the stock price. The player wins by increasing their net worth to at least the target amount (usually determined by the game, if on Custom mode though, this can range between 6,000 and 999,000 in increments of 1,000) and returning to the bank first (in the Practice Boards, the target net worth for Easy Rules and Standard Rules are 5,000 G and 8,000 G respectively). The main accounting currency is the gold coin (abbreviated to G). The player's level also goes up when they get a promotion. When a player gets a promotion, they get a fixed amount for their salary, plus a shop bonus which is based off 10% the sum of all the player's shop value, as well as a promotional bonus (extra money given to the player that increases as they level up). Scattered around the board are four suits (Spade, Heart, Diamond, and Club) if the player collects all of them and returns to the Bank (also the starting square) they get a promotion. Players also have the ability to invest money in their own shops when they land on them (a maximum of 999 per turn). Some squares involve special attributes, such as Take-a-break squares (when a character lands there, all of their shops close until the player's next turn) and Venture squares (like a Chance space in Monopoly). The only exceptions are the tutorial, where the human player always goes first and in Custom Rules, should the Order of play be set to As picked, where it makes P1 goes first, then P2, then P3, then P4.įour players (excluding the play system in Tutorial mode, where only three characters play) take turns by rolling dice to go around the board and buy shops. ![]() When using the latter option, players press one of the three buttons:, , and during an Auction to make a bid, and are ordered based on where characters appear in the Auction window.Īt the start of a game, all players use number machines to determine the turn order, with the highest number going first (note that it is possible for two numbers on the number machines to be the same, if so then the tying players use the number machines again). Also, when playing multiplayer offline, players can decide if each player should have their own Wii Remote, or that players share one Wii Remote. When playing multiplayer offline, records are not saved. Every player can be COM players by doing this). If game data cannot be saved or will not be saved, only offline multiplayer is available (though Out to Lunch can be used to mimic a single player game. It can be played with up to four players. This game functions like a Monopoly style board game. Bowser pays Mario upon landing on Mario's shop When ordering flavor shots make sure it’s unsweetened– We touch on this below, but dunkin uses keto friendly flavor shots instead of sugar free syrups.Rather, opt for just that delicious meat, egg, and cheese without the extra carbs. When it comes to food, skip the bun!– Say no to breakfast bagels and sausage, egg, and cheese breakfast sandwiches.Order all iced tea/ coffee unsweetened– This is normally standard practice, but sometimes baristas will add sweetener to your iced coffee or iced tea if you aren’t careful.That sugary iced coffee just wouldn’t be keto friendly. Gone are your days of ordering sugary holiday drinks and limited edition lattes. Ordering only plain coffee drinks and then customizing it accordingly.To keep with the rules of a keto diet start by: Need to make the best possible keto Dunkin Donut options? Here we will share some good tips for ordering keto friendly options at dunkin. Buns and Wraps– If you want a breakfast sandwich or wrap don’t forget to say no bun please!.Whipped Cream– Whipped cream is delicious and certainly keto friendly in small amounts, but the cream at dunkin is sweetened and full of more sugar then you want.Steamed Milk– Steamed milk has a lot more carbs than cream or coconut milk at dunkin would so you will want to avoid the extra 12g of carbs per cup.Each refresher has between 20-35g of sugar per medium drink. Refreshers unlike iced tea (unsweetened traditionally) are sugar ladden drinks. Refreshers– Don’t get the thought of refreshers mixed up with iced tea.Equate them to regular pumps of sugar syrup. Flavor Swirls- These are the sugar version of flavor shots. ![]() ![]() ![]() Donuts– This is an obvious one, but just don’t do it!.Check out this short list on what to avoid at Dunkin, and read our full guide of keto fast food options. Need help knowing what’s keto and what isn’t? Low carb can be hard to navigate, but it doesn’t have to be. More Keto Menu Guides What to Avoid at Dunkin Donuts Lopez is in a tie for third with Tyler Gaffalione. Ortiz is the leading rider at the meet with 107 wins. Lopez said he doesn't know why Ortiz was so mad at him. I know that if I had done to him what he did to me I would have been ruled off from the track.” “The stewards there are very tough on me,” he said. 1,000 and placed Ortiz and fellow jockey Paco Lopez on probation for the remainder of the. In 2019, he received a 30-day suspension for careless riding, followed later on in the meet by a 60-day suspension for “continuous careless riding.” He said that was in the back of his mind when the fight was taking place. Daily Racing Form s Mike Welsch reports that Gulfstream Park stewards have fined Irad Ortiz Jr. Lopez has run afoul of the Gulfstream stewards in the past. “But I was just sitting down in the chair, waiting for the result at the same time as him. “If I had fought him back, I'd have a fine, too,” Lopez said. Lopez lodged an objection but the stewards let the result stand as is. ![]() Known Agenda won by 11 lengths.Ĭoming out of the far turn, Known Agenda came over a path and appeared to bother Top Gun Tommy before pulling away from his rival. The altercation occurred after Ortiz guided Known Agenda ( Curlin) to a win over Lopez's mount, Top Gun Tommy ( Mineshaft) in the allowance race. The TDN tried to reach Ortiz through his agent Steve Rushing but Rushing did not return a phone call. According to the Racing Form, probation means that any future altercation between the two riders would result in “fines and/or suspension and possible expulsion from the grounds.” ![]() Ortiz was fined $1,000 and both riders were put on probation. I don't want any trouble going forward,” Lopez said. The fight was captured on a video that shows Ortiz landing at least three punches on Lopez following the fourth race Friday at Gulfstream. ![]() That there was a fight between Ortiz and Lopez was first reported by the Daily Racing Form's Mike Welsch. After scuffling Friday at Gulfstream Park with Irad Ortiz, Jr., which caused him to be put on probation for the remainder of the meet, Paco Lopez told the TDN Monday he is ready to move on. ![]() It’s available on most platforms - Windows 10, MacOS, and even Ubuntu. To get started, you’ll want to grab 4K Video Downloader and install it on your computer. ![]() Now you can download them all at once, as long as they’re in a playlist. If you have an entire playlist that you want to download, such as a tutorial playlist outlining some sort of educational subject, you no longer have to download videos individually. One of the unique things about 4K Video Downloader is that they allow you to download entire playlists fairly easily. All that said, follow along, and we’ll show you step by step how to download videos with 4K Video Downloaders. That said, 4K Video Downloader can download almost any video resolution type out there - you’ll just need to stay patient with some of those larger formats. The one thing to keep in mind with these more detailed formats is that they’re much more dense in terms of file size, meaning that it can take a much longer time to download. And while rare, it can download 8K videos as well. While there are a lot of different choices for downloading videos out there, there are few that have the capabilities of 4K Video Download.Īs the name itself suggests, 4K Video Downloader supports the downloading of 720p, 1080p, and 4K videos. Video resolutionsĤK Video Downloader is an excellent choice for downloading YouTube videos. ![]() That said, if you follow along with us below, we’ll show you how you can use a much more reputable service called 4K Video Downloader to download your favorite YouTube videos. Of course, there are plenty of shady download websites on the Internet that allow you to download YouTube videos off of the Internet, but these should be avoided. Looking to download Youtube videos to play on your Android device? We recommend the 4K Download software. Subscriptions to services like YouTube Red now allow us to download content for offline viewing later, but that’s another a subscription on a stack of subscriptions and services that we’re already paying for. Have you ever come across a video on YouTube that you wished you could download and save for later? That’s us all the time! There’s just so much good content on YouTube that we’re unable to watch all at once. ![]() From there, type in “Activity Monitor”.Here are ways with how you can check your RAM on different macOS version. Once that you are frequently using your Mac, then there is a need for you to check on the status of it. The way with how you can check on your RAM will actually depend on the version of your Mac that you are using. ![]() Now, if you are experiencing that your Mac is getting slow or you have an application that requires more RAM on your Mac, then the best solution for this is to learn how to get more RAM on Mac or upgrade it.īefore learning how to get more RAM on Mac, you should check how much RAM on your Mac first. To make things simple, the more RAM space you have on your Mac, then that means that your Mac will exert a better performance. You will experience a slow performance on your Mac once that you are having a high memory usage or when a certain application is needing more RAM than what your Mac can provide. Same goes if you are running out of RAM on your Mac. Without any RAM running on your devices, then this will result in a very slow performance. This includes your Mac, desktops, smartphones, tablets, and gaming consoles. RAM or Random Access Memory is one of the most important components of every device that we have. Here, we are going to show you several ways with how you can get more RAM on your Mac.Ĭontents: Part 1. Most users would actually think about what should they do about this. So, it time to learn ways on how to get more RAM on Mac by freeing up your storage space. Are you experiencing that your Mac is slowing down? Are you having those situations wherein you are consuming more of your precious time just by waiting for an application to launch? The main reason as to why the scenarios mentioned above is happening to you is because you are already running out of storage space on your Mac’s RAM. ![]() How do I construct a topographic profile? Examine the topographic map image to the left (you can click on the image to make it larger or you can download the map and a profile (Acrobat (PDF) 2.3MB Jul18 11) to try the steps below on your own). In other words, profiles help you to understand what a topographic map is telling us about hills and valleys along a particular line. Professional geologists use exercises such as the ones you will practice with below to help you (and us) visualize a two dimensional cross-section of what the land surface looks like (from the side) - giving you a slice of the third dimension. Because maps are two-dimensional but represent three dimensions (that is, topgraphic maps are flat with lines that represent hills and valleys). Interestingly, many geologists are quite visual and like to have visual representations of data. Topographic profiles are used to understand what a topographic map is telling you in a specific area (or, you can think about it like it is giving you a "side view" of the landscape along a specific line on the map). When should I construct a profile? In introductory geoscience courses, a profile is appropriate when you are asked to construct a cross-section or profile. For topographic profiles, you must extrapolate the contour of the landscape (that is, whether it goes up or down) when faced with repeating elevation contours. In the case of constructing a topographic map, you must extrapolate the placement of the appropriate elevation contour. ![]() This is different from the plotting of a best fit line because it involves extrapolation of information from spatial data. In such instances, you will be asked to plot some points and connect them with a smooth line. When working data with topographic maps, topographic profiles and their construction, we often ask you to connect data points with a smooth curve. There are other instances in mathematics and graphing where a smooth curve is necessary (e.g., exponential curves, sine waves, etc.) this page is focused on a specific instance when you will construct a topographic profile from a two dimensional map. This page is geared toward thinking about the shape of landscapes and pretty unique to geoscience courses. If you aren't sure how to plot points on a graph, please make sure you visit and work through the plotting points tutorial before moving on with this part of the graphing pages. Other parts of this resource on graphing take you through plotting points and constructing a straight line through data points. How do I construct a topographic profile? ![]() Alternatively, use each cookie as the crust for mini-cheesecakes or banana pudding cupcakes.Don’t forget, you can crush these wafers and use them as a topping or to make a delish pie crust.Similarly, add some rum to the pudding to make boozy banana pudding.They absolutely go hand in hand with creamy banana pudding. And of course, these are some of the main ingredients in southern banana pudding recipes.Another fantastic way to use these cookies is in butterscotch banana trifles.Also, they make a delicious option for sweet dips like this melted chocolate, caramel sauce, or strawberry sauce.Serve them for a simple and light afternoon tea.Serve these vanilla wafers warm, right out of the oven with a glass of milk or another beverage. Chips: Similarly, toss in some chocolate chips, mini-M&M’s, or peanut butter chips for a different flavor.Chocolatey: In addition, add some powdered cocoa to make them chocolatey.Add other flavors: Alternatively, make these cookies fruity by adding lemon or orange zest or extract.Be sure to rotate them halfway through the cooking time. Bake: Last, bake the cookies for about 12 to 15 minutes or until they are golden brown. ![]()
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