6. Integrate the following a)sin x (between x = 0 and 2 pi) b) x4 Sinx
7. Differentiate the following b) Sin x b) x c) x sinx
Name: Student ID: 5. Solve for the variable listed below (isolate that variable on the left side of the formula) a. 1/y 2/f+4/g ya?? 0: ?? h:?? 6. Integrate the following a) Sin x (between x 0 and 2 pi) b)xc) x sinx 7. Differentiate the following b) Sin x b)x c)x sinx
Solve the IBVP wave equation. d^2/dt^2=16d^2/dx^2 0<x<pi u(x,0)=sinx du(x,0)/dt=0 u(0,t)=u(pi,t) =0 t>0
32. Which of these is NOT a solution for the equation 2 sinx-sin x-1=0? (A) 1 B) 2 011 (D) 3 (E) ALL are solutions
a) Find all exact solutions on (0,21) of 8 sin²x + 6 sinx + 1 = 0. b) Fine all exact solutions on (0,21) of sin’x - cos²x = 0.
Integrate each function without using the table. a) ſcosx In(sinx) dx b) si V x² -16 •doc +2
Solving Trig Equations class Activity 0 2 cos²x-√3 cosx=0 [0, 360) 6 Sinx + Cosx=1 [0, 21) (3 Sin (arctan 23-arccos 12) @ sin laoreet (5)
let f:[-pi,pi] -> R be definded by the function f(x) { -2
if -pi<x<0 2 if 0<x<pi
a) find the fourier series of f and describe its convergence
to f
b) explain why you can integrate the fourier series of f term
by term to obtain a series representation of F(x) =|2x| for x in
[-pi,pi] and give the series representation
DO - - - 1. Let f: [-T, 1] + R be defined by the function S-2 if-A53 <0...
QUESTION 17 Find the integral. - sin x cos xdx - sinox +C 6 - sinx 5 + sin 5x 5 +C sinx -C
4. Solve for x, 0 SX < 360° a) 2 sinx + 3 = 0 b) 7cosx + 2 = 0 c) 2sinx - sinx = 0 d) 2cos2x - cosx - 1 = 0