Compute the fourier integral sine of f(x) = 3e-2x. A. No Correct Answer B. co 6 w2 of cos(wx)dw 2 +4 C. D. 6 ∞ OE. 6 W w² +4 Ow sin(wx)dw 00 w2 6-12 +4² -sin(wx)dw W 9-12-4 cos(wx)dw

Q: solle (1+ cos x) dx Sin²x dx (x-2)√√x² 4 X +3 1

A: The given integral is a complex integral involving trigonometric, polynomial, and radical functions.…

Q: (D² - 4D + 5)y = e*; y a. y= e²*(C,cos2x + C,sin2x) – –e 10 b. y e2*(C,cosx + C,sinx) +e 10 C. y =…

A:

Q: Q: The Fourier representation of a function f(x): f(x) = {-10 V, 10 V, ーTくX x > 0 40 sinx sin3x…

A: Given f(x) = -10v.  When -π < x < 0              = 10v when 0 < x < π.   Graph of this…

Q: Watch the video on the integral of sin(ax)cos(bx) and the video on the p two cosines with different…

A:

Q: sin X 1/ガースゴ+スコービsinx

A: Given differential equation is  y" -3y' +2y=e^x sinx

Q: T/3 3 sin (3t) -dt. 5 - cos (3t) Evaluate the integral

A:

Q: Evaluate (3x + cos 4x) dx

A:

Q: Which of the following equations does not hold for all values of x and y? cos(r + y) = cos(x) cos(y)…

A:

Q: Let A = ° -2 [23] eAt = e2t T eAt = e³t eAt = e³t e³¹ = cos(3t) [- sin(3t) cos(2t) sin(2t) [ e37 .…

A: A square matrix A is given. The objective is to find the value of eAt. If A=a-bba, then eAt=eatcos…

Q: Calculate for w-z sin(xy+).

A: The given function is w=zsinxy4+9z

Q: Show that sin 3x and cos 3x are orthogonal on [−π, π].

A:

Q: Evaluate cos³ (72) sin(7x)dr / COS³ + C

A:

Q: (D³ - 3D2 + 9D + 13)y = 0

A:

Q: Evaluate L{2t e2t sin (3t) – e3(1-1) + 3et sin (4t – 5)}

A:

Q: ution t= tan 2 tan). os(x)

A: We have to choose the correct answer from the given option

Q: Consider (D² +1)y = sin²x_ Using variation of parameters, what is the form of y ,? А y =f cos x + g…

A: As per guideline we have to solve one question Please repost other question again

Q: 46 a Show that cos x+ =-sinx. = -sinx. d" (cosx) = cosx + drn b Prove that

A:

Q: Compute*cos(Inx)dx. 1 A.-—-e (cos1-sin1) - 2 2 1 B.- e 1 C.-e TT 1 2 e

A:

Q: 2 Cos4 Sin (sinz) de

A: Consider the integral  ∫cosxsin2sinxdx

Q: sin –9xdx

A:

Q: Different substitutions dr a. Show that sin(2r – 1) + C using either Vx - x u = 2x – 1 or u = x dx…

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

Q: (ii) Evaluate J dx. COS TI

A:

Q: y = (C₁ + C₂x) sin² x + C3 cos²x + C4 y= AeB+x+CeD-x

A: The general solution of a differential equation or an integration always yields an arbitrary…

Q: Find the value of A. (A-B+C) + (2A + B) sin (2y) - (2B - A) COS (2y) = (4+j3) (6-j2) sin² (y)

A:

Q: IF Y=√√√xx-√√x²+√√2x³ 3 Find dy dx

A: Since you have asked multiple questions, as per our guidelines we are supposed to answer only one…

Q: please explain further where did the cos come from? The…

A: The given differential equation is,  y(4)+17y''+72=0

Q: f5cos(1-5x) dr = O - 5sin (1 – 5x) + C O -sin (1 – 5x)+ C 一 sin (1 5x) + C 5 - O sin (1 – 5x) + C…

A:

Q: Show graphically that sin x and cos 3x are orthogonal functions over the interval [-2j, 2jπ] where…

A: Let     f(x) = sin(x)             g(x) = cos(3x)  and    h(x) = sin(x)cos(3x)  From the graphs of…