Given F = cos t î + 7 sin t j + t²k, find

Q: 19. Find the amplitude of each trig function below:19a. 2 sin(3x), 19b. 3 cos(5x), 19c. −7 cos(4x)

A: The objective of this question is to find the amplitude of the given trigonometric functions. The…

Q: fan's Evaluate sin" x cos x dx.

A: Integration by substitution

Q: show that r = cos 2θ is symmetrical with respect to the horizontal axis.

A: show that r = cos 2θ is symmetrical with respect to the horizontal axis.

Q: Solve the equation sin u = -1, for 0 … u 6 2p.

A: Given, the equation sin u = -1, we have to solve this equation in [0, 2pi).

Q: dy Find dif sin x + 2 cos 2y) = 1 dx

A:

Q: Sec A - cos A is identically equal to

A:

Q: from Evaluate cos r sin x dr.

A:

Q: Show that cos bx = (eibx +e-ibx) and 1 sin bx :(eibx – e-ibx). 2i

A:

Q: If Ax) = 2 sinxcos x, find f

A: f(x) = 2sin(x) cos(x) -> f(x) = sin(2x) Now differentiate with respect to x,  f'(x) = 2 cos(2x)

Q: Solve : 7tan³x – 21 tan x = 0 T 2n 4n 57 A.,I, C. 3' 3 3' 3 3 В.", п, D. 0,,,, 3' 3 3

A:

Q: Write 2 cos(3t) + sin(3t) as Rcos(ωt−φ).

A:

Q: Verify that sin u − u cos u + C =∫u sin u du. Use FIRST part to show that      ∫π0 sin√x dx = 2π.

A: Our aim is to verify that ∫u sinu du=sin u-cos u+C. Using this integral to find the value of…

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

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

Q: Q 11: Evaluate f sin cos dx

A: We will evaluate the integral with the help of substitution rule.

Q: 20. Find the period of each trig function below:20a. 2 sin(3x), 20b. 3 cos(5x), 20c. 3 tan(4x), 20d.…

A: The objective of this question is to find the period of each given trigonometric function. The…

Q: 6. Plot r = 4 cos O :

A:

Q: Scm

A: The sine (sin) of an acute angle in a right triangle is the ratio of the side opposite the triangle…