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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- A 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).graph O - IKI 3 /4-(43)/ -66x54 2.can this be solved with a Z table please?
- Find the rectangle whose vertices with one is on side x-axis. onExplain the relationship between the multiplicity of a zero and whether or not the graph crosses or touches the x-axis and turns around at that zero.Describe a graph model that represents the positive recommendationsof movie critics, using vertices to representboth these critics and all movies that are currentlybeing shown.