If F (s) = then (s+2)2+4 ft) = e cos(2t)-esin (2t) f(t) = e-2" (cos(2t) - sin(2t)) This option This option f(() - e" (cos(3t) + sin(3t)) f(t) = e sin (2t)

Q: The first derivative of y = cos(3x-8) is O a. - sin( 3x-8) O b. 3 sin( 3x-8) O. - 3xsin( 3x-8) O d.…

A: Given function is, y=cos3x-8.   It is differentiated as follows: dydx=ddxcos3x-8

Q: s+1) (a) L-1 4s2 +1 (b) L-1 s4 + s] (e) E{/ c{[e cos(r) dr.

A:

Q: (b) D₂f = 2 cos(xy + 2z) Dzzf = -4 sin(xy + 2z) Dzzyf = -4x cos(xy + 2z)

A:

Q: 311 = Sinx %3D COS

A:

Q: csc(sec-1 2) + cos(tan-(-v3).

A: Given data:     The expression for the given function is: csc(sec-12)+cos(tan-1(-31⁄2).   The given…

Q: cos x | = -dx =? 2 cos x+ sin x+3

A: Integral.

Q: Scos x vsin x dx (sin x)i-(sinx) +C (sin x)i +(sinx)+c c. (sinx)- (sinx) + C (sinx)i +(sinx)+c A. B.…

A: ∫cos3xsinxdx

Q: cos-1 (cosx)= x       where..............

A: Given, cos-1cos x=x

Q: y = a sin (x + b) u sin (x + b) -a sin (x + b) O a cos (x + b) O -a cos (x + b)

A:

Q: 4 sec(8) = find cot(0) 2

A: Use trigonometric rations

Q: Graph the function f(x) = cos(x) + sin(x) by first graphing y = cos x and y = sin x on the same axes…

A: Table values of sinx x sin(x) 0 0 π4 12 π2 1 3π4 12 π 0 5π4 -12 3π2 -1 2π 0

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: | sec(/I) tan(/) dr

A: We need to solve integral.

Q: What is the 2D modulation transfer function MTF(u, v) of this system? [The flowing integral may…

A: Assume an imaging system has a point spread function (PSF) . To convert this in MTF we use given…

Q: +COSO |-COSO %3D 1+COS O

A:

Q: sec(2) tan(2) – 1 dz 3.

A:

Q: cos(A) cos(B)

A: Our Aim is to find the value of cos A cos B=?

Q: (sin A)^4-(cos A)^4

A:

Q: sin x = csc 2x cos x cos 3x sec 2x

A:

Q: instead of cube there is a square in that equation 3(2x-1)2 please solve

A: Given,           ∫2x-1cos32x-12+632x-12+6dx

Q: -sin x 0 [cos x - If f (x) = | sin x - 0, show that f(a)f (b) = f (a + b). 1] cos X %3D 0. 0.

A: Given: Here, f(a)=cosa-sina0sinacosa0001, f(b)=cos b-sin b0 sin bcos b0 001. Now,…

Q: eft co Evaluate cos² (9x) dx.

A:

Q: y = sin(2x) compare to the function y = sin(x), how do these function relate?

A:

Q: 6メ-8) - $(4)= =1 Cos x (8-x9- 15) %3D

A: Since in part 1st given equation has no rational roots so I will do 2nd question

Q: csc(arccos(x-1))

A:

Q: Cos (-x)= - Cosx

A: Let, cos-1(-x)=yThen,-x=cosyx=-cosy

Q: d (i) Show that (2 dx -1 X 3x x tan 3 = tan-1* 3 x2+9 V3 i) Hence evaluate (tan dx . 3

A:

Q: Evaluate sec x dx VIn(sec x + tan x)

A: We will let,  ln( sec x+tan x) = t  to solve this question.

Q: Find f. f"(x) = -2 + 12x - 12x, f(0) = 7, f'(0) = 18 f(x) =

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…