5. Let V denote the volume of water held in a 1-liter bottle. The pdf of V is f(v) = 90v³ (1v) 0 < v<1 (a) Graph the pdf. Then obtain the cdf of V and graph it. (b) What is P(V <.5) [i.e., F(.5)]? (c) Using part (a), what is P(.25 < V<.5)? What is P.(.25

Derrick Fuller, Jr. - O image0jpg (3024> image0jpg (720x6 X O image0.jpg (3024 O image0.jpg (3C tation?pin=VXL2 15. Given the functions a(x) = x2 + 2x- 1 and b(x), shown on the graph below, find P(x), where P(x) = a(x) b(x). What type of function is P(x)? Answer all parts of this question in Nearpod or Google classroom [graph of b(x) =x+3] How could you use the roots of a(x) and b(x) to find the roots of P(x)? Explain. Imagine you multiply P(x) by a degree 3 polynomial with a positive leading coefficient. How many roots would this new polynomial function have? How would the end behavior of the graph change? Open notes navigator

An open box with a square base is to be made from a square piece of cardboard 15 inches on a side by cutting out a square from each corner and turning up the sides. See the figure, Answers parts (a) and (b) 15 in (a) Express the volume V of the box as a function of the length x of the side of the square cut from each corner. V = (Simplify your answer.) (b) What is the volume if a 2-inch square is cut out? The volume is D ann (Simplify your answer.) D) O - Chap ents (9) O Time Remaining: 01:49:48 Next e-calculus - Fall 2021) is based on Sullivan: Precalculus, 11e plicy Copyright© 2021 Pearson Education Inc. All Rights Reserved. NET F11 F12 F10

The graphs of the functions y f(x), y g(x), and y h(x) are shown below. Each function is transformed into y= /f(x), y /g(x), and y = /h(x), respectively. Diagram 1 Diagram 2 Diagram 3 y 6. 4 (4.4) 2. (4.1 10 -2 + 810 10 (4.-4) 13. The number of invariant points on the original graph and its transformed graph for Diagram 1 is Diagram 2 is and thee Diagram 3 is