Chapter 4.1, Problem 4E

Let Xvuniform(0,8) then E(x-2) 4 8 2 3

Which of the following represents the graph whose shown? y= f(x) (8,0) (D.0) (A.D) (C.O) O f(x) = (x – A) (x – B) (x – c)° (x – D) O f(x) = -(x– A) (B – x)(x – C) (x - D) Of(x) =-(x= A) (x– B) (x = C} (x - D) CF(X D) %3D None of the above e (x) = =(x - A) (x – B) (x- C) (x - D) (x-4) (x-B)(x

Please find G(u) + C and correct if any answers are wrong.

Find the DE of tan x – 2x3y = C by eliminating the arbitrary constant. a. sec? x + 2x³dx + 6x²ydy = 0 b. tan x – 2x3y – 6dx = 0 c. sec? x – 2x³dx – 6x²ydy = 0 d. tan x + 2x³y + 6dx = 0 |

11. What type of transformation results in a vertical translation downward 2 units a. sin(x - 2) b. - 2sin x C. sin x - 2 d. sin x + 2

4. In biology the predator-prey model is used to predict the number of prey animals, R, at a particular time t, in years. This number is cyclic, fluctuating with the number of predators. The number of rabbits, R, in a certain region is given by the equation R(t) = 2000 sin(t) + 5000. a) Sketch the graph of this relationship b) Determine how many rabbits there will be in 4 years.

Solve. Find the equation of a line normal to the curve of y-cos COS at x=1. 2 Select one: A. -3.3 x + 9y - 9 + /3 n = 0 B. -3,3 x + 3y + 3/3 - = 0 C. -6/3 x + 3y - Gu/3 - i = 0 D. 3 x + 3y - 3- 1= 0

1. Sketch the graph of r = 6/ (3 + 3 cose).

Match each function with its graph ( only part 10,12, 14)