Chapter 5.5, Problem 41E

Explain with all explanation

Нomеwork: 1. Find the max., min., inflection points and the intervals on which the functions increase, decrease, concave up and concave down. (a) y= 4x+6x² -6x-4 (b) y= x' -8 (d) y=(x- 2)3 2/5 (c) y=3x+(x-2)²5 2. Find the intervals on which f are: (i) Increasing and decreasing. (ii) Concave up and concave down. and the x-coordinate of all critical and inflection points. (a) y=x -5x+6 (b) y=(x+1)³ (c) y=x* -8x² +16 (d) y= 3x - 4x (e) y = () y = x+2 x² +2 1/3 (h) y = x" (x+2) *9 -x 4/3 (8) y=Vx+2 (i) y =x (G) y= cos x; [0,27] (k) y= sin² 2x ; [0,7) (1) y=2x+cot x; [0,7] (m) y= sin xcos x; [0,7]

ungent Function *12. In Exercise #2 you were asked to calculate the slope of the terminal ray of the angle when you knew that the ray began at the origin and passed through a point on the circle. For example, if the terminal ray passed through the point (0.1736, 0.9848) then the slope is calculated as follows. 0.9848-0 m = 0.1736-0 0.9848 0.1736 5.673 a. Suppose you know that an angle measures 0 radians using a circle with a radius of 5 units. How can you find the point (x, y) on the circle through which the terminal ray passes? b. Using your answer to part (a), complete the following statement by writing tan(0) in terms of cos(0) and sin(0). (In other words, when we know the value of cos(0) and sin(0), how can we determine the value of tan(0)?) tan(0) =