Determine A, B, and C so that f(x) = A cos(Bx) + C cycles once from 8 to - 2 and back to 8 as x goes from O to 2.

Simplify. cos(-4x) · cos 2x – sin(-4x) · sin 2x cos(-2x_ sin(-6x) cos(-3x) cos(-x)

I plugged it in to my assignment and for cos(a-b) it says it's a -4 and not a +4. But thank you so much! I could have never gotten it without you!

Simplify 2sin(4x) cos(4x)

Solve the following ODE. y" + 2y" – y – 2y = 9- 123 NOTE: Write arbitrary constants as c1, Cg, and cg. y(a) = C1 e + c2 e+ c3 e-2 +6 x - 9 x2 - 15

At an amusement park, the pendulum ride's movement from its starting position in meters can be represented by the equation f(x) = -5 cos+5. If x represents time measured in seconds since the ride first began, at what times will the pendulum's movement be 10 meters from its starting position? O π + 2πn seconds O π + 4πn seconds O 2πT + 2πn seconds O 2πT + 4πn seconds

Find for y = 9x2 sin x + 18x cos x – 18 sin x. 증 11

x2 x2 +1 Select one: a. 1- tan x² + C b. tan x+ C C. x - sin lx+C d. X – tan x+C

3. An alternating current-direct current (AC-DC) voltage signal is made up of the following two components, each measured in volts (V): VAC = 10 sint, VDc = 15. [4] a) What types of functions are VAC and VDC? b) Determine the equation of the combined function VAC + VDC. c) Determine the domain and range of the combined function.

Cos(-120)