QA: Pick two of the following functions:
sin(3x)*sin(2x)
cos(3x)*sin(2x)
cos(3x)*sin(1x)
cos(3x)*cos(2x)
Find the integral of those functions from x= -pi to pi
Show all work.
hint : graph & use symmetry.
QA: Pick two of the following functions: sin(3x)*sin(2x) cos(3x)*sin(2x) cos(3x)*sin(1x) cos(3x)*cos(2x) Find the integral of those...
QD: Using graphs and symmetry, approximate the integral of i) sin(3x)*sin(1x) from x= -pi to pi. Ii) sin(0x)*sin(0x) from x= -pi to pi Iii) cos(0x)*cos(0x) from x= -pi to pi iv) what slightly weird thing happened?
For the set of functions {sin(x),sin(2x),sin(3x),...}=sin(nx)}, n=1,2,3,... on the interval [0,pi]. Show that the set of functions is orthogonal on [0,pi].
Question 1 1 pts Find the derivative of f(x) = cos(sin(3x)). Of"(x) --cos(3x) sin(sin(3x)) O f'() -- 3cos(3x) sin(sin(3x)) Of'(x) - 3cos(3x) sin(cos(3x]) f'x) --sin(3x) cos(cos(3x)) Question 2 1 pts Find the derivative of f(x) = cos(x^2 + 2x). Of "(x)=2x+2 sin(x^2 + 2x) O f'(x)= x^2 sin(x^2+2x) Of"(x)= (2x+ 2) sin(x^2 + 2x) f'(x)= -(x^2 + 2) sin(x^2 + 2x) O f'(x)--(2x + 2) sin(x^2 + 2x) Question 3 1 pts Use implicit differentiation to find the slope of...
Find the indefinite integral. Enclose arguments of functions in parentheses. For example, sin(2x). Chapter 6, Section 6.2, Question 046 Find the indefinite integral. Enclose arguments of functions in parentheses. For example, sin (2x). | 17 (17e+ + 5 sin x) dx = Q@ +C Click if you would like to Show Work for this question: Open Show Work
(4 points) 17. Solve the equation on the interval [0, 2x) cos 3x cos 3x + sin 3x sin 3x (6 points) 11. Use the Addition or Subtraction Formula only to find the exact value of the expression. Again, you must show your work to receive credit. a) cos b) sin 105
Use symmetry to evaluate the following integral. /2 (cos 2x + cosxsin x - 2 sinxº) dx -1/2 1/2 (cos 2x + cos x sinx-2 sin x) dx = (Simplify your answer.) -1/2
10. Rewrite the product sin 3x cos 2x as a sum. Answer: 11. Find the exact value of cos 75º cos 15° + sin 75° sin 15° to be one or a weerator
For cos x cos 3x – sin x sin 3x = 0, use an addition or subtraction formula to simplify the equation and then find all solutions of the equation in the interval x (0,7). The answer is 21 22 = 23 = and 14 with xi < 22 <<3 < 24.
(1 point) Find the general indefinite integral S sin 2x dx. cOS X Answer.
cos 5x 2. Please verify that sin5x Sin x = 4COS 2x cosx 3). Kindly draw the graph of each function. ). Find and show the x and y intercepts. Find and show all asymptotes, if they eatest a). f() =-3X +9 b) g®) = (x+3)(x+2). c) h) = x+3x –10 d). f®) = 3 log2 (x +4)-1 e). M(x) = -4 sin (3x-7)+ 7 (oeier x-1 L Vaa