The electric power P (in W) as a function of the current i (in A) in a certain circuit is given by P = 12i2 + 60i. Find the instantaneous rate of change of P with respect to i for i = 0.75 A. The instantaneous rate of change of P is WIA for i = 0.75. (Simplify your answer.)

If y varies inversely as the 4th power of x and y = 5when x = -1, what is y when x = 0.5?

Let the position of a swinging pendulum in simple harmonic motion be given by s(t) = a cos(t) + b sin(t) where a and b are constants, t measures time in seconds, and s measures position in centimeters. If the position is 3.1 cm and the velocity is -5.1 cm/s when t = 0, find the values of a and b. a. a = -2.5500 and b = 1.5500 O b. a = -(3.1) and b = -(-5.1) c. a = -(-5.1) and b = -(3.1) d. a = -5.1 and b = 3.1 e. a = -10.2000 and b = 6.2000 O f. a 3.1 and b = -5.1 =

Y varies inversely with x, and y is 0.5 when x is 4. Which equation represents this situation? y= 2r Oy= 4x 2 y = Oy =

Find sinθ when cosθ=0.618 and tanθ<0.

For the given function y = -13 cos(−x – 30°), state: Amplitude Phase Shift

What is the relationship between sin(90∘) and sin(−90∘)?