1/ Determine the amplitude, period, phase shift, equation of axis, domain, and range of the function f(x) = -1.5 cos (6x + 240°) - 2.

7

6. Draw the graph of f(x) = -3 cos(x + pi/2) Period: Amplitude: H. shift: V. shift: 2 -2n 2 -1 -2 -) -4

Enter the equation of the function cos(x) that has a vertical shift of 4 units up, and a phase shift of π6 units right.

State the amplitude, period, phase shift and range for the sinusoid                                                                   g(x) = -3sin(5x-11/4) + 19

write an equation of the form y=a sin [k(x-b)] with the given amplitude : pi  period:4, and phase shift:- 1/3.

Part D

LET T(X) = -4 * SIN (5X-10 * PI). COMPUTE AMPLITUDE. PERIOD AND PHASE SHIFT.

A rescued whale is released into the ocean 400 meters due east of a coast guard station. The whale swims directly away from the shore. coast guard station point of release O tan(0) (a) Which of the following equations can be used to relate the angle, 0, and the distance between the whale and the point of release, x? O cos(0) O sec(0) = O sin(0) = O tan(0) = X 400 X 400 X 400 O cos² (0)- X 400 400 X O sec² (8) de dt de dt (b) Which of the following would be an appropriate related rate equation for the answer to part (a)? 1 dx 400 dt = O sec² (0) dx dt O sec(0)tan(0)- O cos²(e) de dt = = 8 1 dx 400 dt de 1 dx dt 400 dt = dx dt X whale 1 de 400 dt (c) If the whale swims at a constant rate of 60 meters per minute, how fast is the angle changing when the whale is 300 meters from the point of release? Give an exact answer. radians per minute

y = cos(x),