1.) (Use R) Use the mpg data from ggplot2 package and create R codes necessary to generate the following graphs. library(ggplot2) data (mpg) 40- 20- 40- 30- 20- displ (a) drv 40- 20- 40- displ € (b) drv 4 30- dry 20- displ (c) 2 displ (d) --
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- GraphA regulation NFL playing field of length x and width y has a perimeter of 346ź or "3" yards. 1040 (a) Draw a rectangle that gives a visual representation of the problem. Use the specified variables to label the sides of the rectangle. (b) Show that the width of the rectangle is y = – x and its area is A = x( - x). 520 (520 (c) Use a graphing utility to graph the area equation. Be sure to adjust your window settings. (d) From the graph in part (c), estimate the dimensions of the rectangle that yield a maximum area. (e) Use your school's library, the Internet, or some other reference source to find the actual dimensions and area of a regulation NFL playing field and compare your findings with the results of part (d).can this be solved with a Z table please?
- Derive the linear interpolant through the two data points (1.0, 2.0) and (1.1, 2.5).Then, derive the quadratic interpolant through these two points and the point (1.2, 1.5). Show a graphdepicting this situation.Graph x=y2 by using properties.provide three examples of the rectangular coordinate system, which is the basis for most consumer graphs
- Jan 14 complete {(3,0), (04), (3,-5), (-3,-5)} Table, Graph, mapping aChess is a board game, where the board is made up of 64 squares arranged in an 8-by-8 grid. One of the pieces is a rook, which can move from its current square any number of spaces either vertically or horizontally (but not diagonally) in a single turn. Discuss how you could use graphs to show that a rook can get from its current square to any other square on the board in at most two turns. You’re encouraged to utilize relevant graph definitions, problems, and algorithms where appropriate.pls helpp
- Please solve and reduce to it lowest form. Please showw all work.Please make your graph exactly made like the organial graph on the computer and plot please labeling both companies. If you can please use different colors to plot both companies. For example fill it up inc can be blue and bottled by Bob can be greenA Lab_06.nb - Wolfram Mathematica 12.3 Student Edition - Personal Use Only File Edit Insert Format Cell Graphics Evaluation Palettes Window Help WOLFRAM MATHEMATICA STUDENT EDITION Demonstrations| MathWorld Wolfram Community Help The resulting graph should look the same as the first graph in this example. This leads to the obvious question, "Why go to all this trouble if you end up with the same thing?" There are various answers to this question, but perhaps the simplest is this: later on we'll learn many wonderful things you can do with parametrizations, and we want to be sure that we can do these things to plain old regular graphs of functions.. Exercise 1 Duplicate the following picture as closely as possible by parametrizing each line segment and displaying them together. You should turn in the parametrizations of the segments and your final picture; you do not need to hand in pictures showing the plot of each individual line segment! Hint: The ends of the line segments are the…