The derivative of y = sin (2x) + cos (3x) is in the form y'=a sin (bx) + c cos (dx). What is the value of a+b+c+d ?
In this the concept of differentiation is used. The detailed explanation with chain rule is given.
The derivative of y = sin (2x) + cos (3x) is in the form y'=a sin...
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...
Question 11 Give the form of a particular solution of (4) – 16y-2 e 2x+3e" + cos2x) – 1 a) z-Axe* + Be **+Ccos(2x) + sin(2x) + E d) Axe 2+Be+Cx cos(2x) +Dx sin(2x) +B 3-Axe* +Be+3+ Cx cos(2x) +Dx sin(2x) + E 2=Axe 2+36-3x+cos(2x) + sin(2x) -Ae 2*+Be9*+ C'x cos(2x) + DX sin(2x) + E None of the above. e) f) Question 12 Give the form of a particular solution of J14) - 4 7 " +13 y" –...
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.
The function graphed is of the form yra sin bx or y = a cos bx, where b>0. Determine the equation of the graph. 5- Q 3+ 1- -1- LY 37 -3- 2 11 3 sin 3x
(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
Solve the given differential equation. 9) dy + y = 14 +6 cos 3x 9) dx² B) y = ci sin x + c2 cos A) y=cı sin x +c2 cos x + cos 3x +14 C)y=cı sin x +c2 cos x - cos 3x +14 D) y=q sin x +02 cos x - sin 3x+14
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
23. Find the exact value of sin 3x cos 3x. a. sin6χ 2 c. sin 3x 3 d. Sin- 23. Find the exact value of sin 3x cos 3x. a. sin6χ 2 c. sin 3x 3 d. Sin-
cos'x dx sin 3x dx 2. an 45 sin cos'xdx 4 sin'xcos'x dr 44 sin'x cos'r dr 6. sin'xcosx dx 8. Jo sin'x cosx dx fa-sin 2x)' dx sin x + cos x dx 10. 9 f sin'z dx cos'x sin'x d 12. 11 sin'x Vcosx dx 14. 13. cot'r sin'x dx 16. cos'x tan'xdx 15 dx sin x dx 18. 17 1-sin x cos x tan'x dx 20. tanx dx 19 sec'x d sec'x dx 22. 21 tan'x secxdx...
Write an equation of the form y=a sin bx or y= a cos bx to describe the graph below. 3t 3t T 4 7 4 4