Find the area between the graphs x = sin (9y) and x = 1 – cos (9y) over the interval 0 < y < in the figure. (Use symbolic notation and fractions where needed.)

Q: 5. Find the values of a and b such that dx tan 1 + sinx a + b . %3D

A: We need to integrate ∫11+sinxdx

Q: Find an alternative form in terms of x for each of cos(sin- 1 x) and tan(sin- 1 x).

A: Let us make a triangle with opposite = x and hypotenuse=1 , because sin theta= opposite/hypotenuse…

Q: 5. Use substitution to find S sin1º0 cos 0 d0.

A: We will find the integration.

Q: Verify. esc (x) [I-cos(2x)] = 2 sin (x) SC

A:

Q: Let F= (2e", 5 sin(x), 8 cos(x)). Calculate div(F) and curl(F). (Use symbolic notation and fractions…

A:

Q: Evaluate Jx/2 6 sin x (cos x + 1)³ dx

A:

Q: Evaluate: sin(0) – cos(0) dO

A:

Q: 2 Cos4 Sin (sinz) de

A: Consider the integral  ∫cosxsin2sinxdx

Q: 2. Plot sin (x) and cos (x) on the same figure, then on the same axis using different colors. Where…

A: The graph of sinx for 0&lt;x&lt;2π is:   The graph of cosx for 0&lt;x&lt;2π is:

Q: c. sin 2x: = 2 tan x 1+tan² x d. 2 cos x cos 2x+1 =secx ✓✓✓✓

A:

Q: [1] sin3x Asinx – Bsin³x, find A and B. -

A: Explanation of the answer is as follows

Q: For −1<x<1-1<x<1, by sketching a triangle, find cos−1x+sin−1x=cos-1x+sin-1x=   degrees.

A: We sketch a right triangle with one side = x and hypotenuse= 1

Q: x cos r+ sin r -dr. Find x sin r 5.

A: The given integral,     ∫x cosx+sinxx sinxdx

Q: Use a computer algebra system to graph the function. f(x, y) = sin 1/ x + cos 1/ x

A: To plot graph of given function.

Q: Find sin (x- π/2) if cos x=0.65

A: On solving this we will get