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 5sin (1 5x) +C

Q: (с) 4у" + у %3D 4 sin(3x/2), for 0 <x <л, У (0) %3 0, у(л) — 0

A:

Q: - ) s2 – 4 2s+6 What is L -2 cos 2t-3 sin 2t A.

A: find the inverse laplace transform of L-1-2s+6s2-4 we can write the function as…

Q: 1. f(x) = 2x2 – 3x+4 2. f(x) = e-2x sin 5x %3D

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Q: -1<x<0 4 4) f(x)=; sin(7x) +sin(37x)+sin(57x)+... Ans. 0<x<1

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

A:

Q: 3. The value of A. B. C. D. [xsản xdx (1 - x²) 3/2 + C -sin-¹ x - √1 − x² + ² - (1-x²) ³/² + C sin-¹…

A:

Q: tan (3r) dr = a tan(3x) – In(v1 + 9x²) +C 3 a tan (3x) + In(v1+9r²) 3. e tan '(3x) In(v1 - 9x² +C a…

A: We know that, from basic integral formula ∫tan-1x=xtan-1x-12log1+x2+C          ⋯⋯1 We have, the…

Q: 2 WWw -21 2T -TT TT -2 -4 -6 s(2) = 3sin(x + )-2 f(x) = 3 sin x + 4 A) f(x) = 3 sin 2x + -2 B) f (x)…

A: Please go through the attached solution.  Thankyou . Best regards.

Q: 6x-7 4. S 를 In(4x2 + 1)-2 n(2x + 1)-승Tan-1(2x)| + C (2x+1)(4x2+1)

A: 4 Given integral is ∫6x−72x+14x2+1dx. First of all we will take a partial fraction of 6x−72x+14x2+1,…

Q: Factor: 2x - 9x 5 main abc func DEG ab lal 8 9. 4. sin cos tan 1. 3. 0. ans O 2x 1 O 2x 5 o 2x + 1…

A: Topic = Quadratic equation

Q: 28. The general solution of the equation tan(2x +) = It A.2x = nn - -B. 2x = nt +"C. 2x = nT + D. 2x…

A: According to the guideline we should have been able to solve only first question of the demanded…

Q: 14. x" + y = -101 sin(10t) ; y " + x = 101 sin(10t) ; x(0) = 0, x ' (0) = 6, y(0) = 8, y' (0) = -6

A:

Q: Įsin x cos^(3/2) x dx * O -2/5 cos^(5/2) x + C O None of the choices -5/2 cos^(5/2) x + C O -2…

A:

Q: -2 a -1 23 1 b-a 2 1 4 T -cos³x sin ²x 1 -2 - e b+ a e 3-b - 1 2 NO - 1 1 -1 O 2 1 013 4 1 خدم برد…

A:

Q: (a) f(x) = - x x – x² 4 (b) f(x) = 3sin(2x) + cos(6) (c) f(x) = sin(3) – 2³ + 4 %3D

A:

Q: S A. sinxcosxdx √esc²x-1 2 B. 7 COS X 7 5 COS X 5 5 cos³x x + C X 5 7 COS X 7 +C C. D. sin7 x 7 5…

A:

Q: -cosh(2x² + 1). Evaluate (A) 4xsinh(2x² + 1) B 2xsinh(2x²+1) C) xsinh(2x2 +1) с D (2x2 + 1)sinh(2x +…

A:

Q: 2'2 (a) sin-'(0) = V2 -1 (b) sin %3D (c) sin-'( – 1) =

A: we have to find

Q: (D* — 81)у %3D0 A. y = c1e3* + c2xe³* + c3e¬3x + C4xe¬3x B. y = ce3* + Cze-3* + C3 cos 3x + C4 sin…

A:

Q: (a) (b) Q4. L-¹ ¹8(8²-1)} = cosht - 1 [cos 2t - 1] (c) (d) 1 - cosh t (sin 2t - 1]

A:

Q: ƒ cos(x³) x² dx. 1 ¹ cos4 + c 4 1 WIT 3 1 -| sin x³+ C 1 ·cosª + c 4 4 -3 sin x³+ C

A: Topic = Integration

Q: sin(8t) -2t O a. r(t) = e cos(8t) +e2t O b. x(t) = e 4t cos(8t) – e t sin(8t) COS O c.(t) = e2t…

A: Given,         dxdt=12x-8y        dydt=16x-4y

Q: 1 sin(2x): -1 sin(2x) 125 %3D (D²-1) True False

A: 1(D2-1)3sin(2x)=1(-22-1)3sin(2x)                             =1(-5)3sin(2x)…

Q: -(sin³(x) + sin (x³) ) dx A 3sin'x + cos (x³) B 3sin?rcos(x³) + 3xr?cos(x³) © 3sin?x + cos (3x²) D…

A:

Q: 6. f(1) =-e" sin (21 + 7 ) 3t -2t

A:

Q: 1. The value of A. sin-¹(²*²+¹) + C 5 sin-¹(²*x+¹)+C B. C. sin-¹(+¹) + C D. sin-¹ (¹) + C 2x

A:

Q: 6) f(x) =xcos x 2n(-1)" • sin(nx) (n-1)(n+1)

A:

Q: S dx √1-x² O-√1-z² sin-¹ z²+z+C O-√1-² sin¹z+z+C O None of the choices O-In 1-2² | sin¹2² +2+C -1…

A:

Q: y''-4y'+20y=x^2e^(-2x)sin(4x)-3cos(4x)-xe^(-2x)

A:

Q: ſcos(5x-8)cx O a. cos ec(5x – 8) +c O b. sec (5x – 8) +c O c.- sin(5x-8) +c 5 O d. sin(5x-8) +c 5

A: Please refer the attached image for complete solution.

Q: In Exercises 25–30, give a formula for the extended function that iscontinuous at the indicated…

A: The given function is fx=x2-9x+3

Q: 2. L{sin² = nt} 7² a. S³+π²s π² b. 772 2s3-2π²s π² C. 772 2s3+2π²s π² d. S³-π²S

A:

Q: &. y = -2 co0(2 -) 7. y = -3 sin 2r + 9. y = 4 sin ( mX 11. y = 3 cos ( TX 2) + 5 12. y = 2 cos (2nx…

A: I have provided solution in step2.

Q: A. x + 2 4. x² + 4x + In (x + 2 + Væ² + 4x) + C 2 2 x + 2 4 x + 4 -1 x' + 4x sin -) + C 2 - 2 2 С.…

A:

Q: cos √x+1 O Σ n=2 (-1)"x²" (2n)! n+1 x² Σ nal

A: I have given the answer in the next step. Hope you understand that

Q: 10telupleO nnidgs c) tanx = -1.5 d) 2 sin x = 1.05 %3D 0". rdguena a": 123-6 b": o"11so b" 303 6a" द…

A: Note: As per our policy we can only solve three subparts of the  question.

Q: 1 sin(2.x) = -sin(2x) -125 %3D (D²-1)' true false

A: Solution

Q: O 1:0: d (sin-x?) = (sin-1; dx 1 d V1 - x² dr (x²) خيار 4 1 V1- x4 2x V1-x2

A:

Q: Q1-6 * 2 points 1 -sin(2x): - sin(2x) -125 (D²-1)'

A: Given, 1D2-13sin2x=x-125sin2x To find:  To check whether L.H.S = R.H.S. or not

Q: (d) r(π/6 + At) - r(π/6) = √3 2 cos At sin Ar-1+(cos Ar i+ At + 2 3√3 2 -sin At 1 3/-)1 2 X

A: We can solve as follows

Q: S sin*x cos³ x dx C sin5x sin'x + C 7. sinx sin'x + 5 sin x cos'x + C 7 D sin5x cos'x + C 7. 5

A: We know that ∫xndx=xn+1n+1Also, d(sin(x))dx=cos(x)

Q: 1 9 – x2 (A In(v9 – a?) + C - B 응sin-1(품) + C (C 3sin-1(x 3 + C D) sin-그(프) + C 3

A:

Q: -1 -2<x< - 1 0 -1<x<1 1<x<2 nswer: f(x) = a + Tin COS ... COS n=1 sin T²n² O sin () COS

A:

Q: SR(-1)" – 1)) x – 6n si 6T < x< 7n cos nx = { 8п — х si 7п <x< 8п n=1 +

A: The Fourier series of the function fx on -L,L is as follows. fx=a0+∑n=1∞ancosnπxL+bnsinnπxL. Use the…

Q: S √16 - x² dx X 4+16x2 A)√16-x2 - 4 In X C) √/16 - x² - sin-1 ] + c - C B)√16-x2+4 In 4+√16-x2 x2…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 2) S(3x + cos(x))[3x + 2sin(x) -312dx = A)13x +2sin(x)- 3 +C B)13x + 2sin(x)-31 +C C) other

A:

Q: ¹{.(²-1)} = Q4. C-1 (a) cosht - 1 (b) (c) 1 2 (d) 1 - cosh t [cos 2t - 1] [sin 2t - 1]

A: Here, to find the inverse Laplace transform of the function: 1s(s2-1)=1s(s-1)(s+1) Now, using…

Q: 1 sin(2x) (D²-1) -1 sin(2x) 125 true False

A:

Q: n3xcsC3X)ax 3. S sin2xcsc3x+cos²xcsc3x

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: y 5)if y =x6- 3x + cos x then a) 360x2-72+ cos x b) 6x5 - 12x3 + sin x c) 120x3-72x + sin x d) 360x2…

A: Since this is a multiple question according to the Bartleby Answering rule, only first question is…