What is L 2. s² -7 s -36 cosh 3t +sinh 9t 3. B. cosh7t +sinh 6t C. 5cosh 10t + sin 2t D. s 31 +sin 9r COS 2 cos 10/ 1 sinh 7t E. 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: Which of the following statements are always true? 1. S2 dæ •T/2 da /2 71+cos7 x 71+sin" æ II. (2² –…

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Q: 10. If y zx[sin{inx)- cos(Inx)y find dy/dx. A. sin(inx) B. cos(Inx) C. -sin(inx) D. -cos(Inx) 11. If…

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Q: What is L s² –7 s² -3 21

A: The given function is L-1ss2-7+6s2-36 make the partial fraction of ss2-7…

Q: 15 L-1 s2 +4s + 13 a. 3e 2t sin3t b. 3e2t sin3t C. 5e2t sin3t d. 5e-2t sin3t

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Q: Q4 Mode df Jx X= 26 How? -0.90623 sin(1-13x)=0 ㅗ 20.5772 V3

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Q: [2sin(4) 15. Given that /(x) = k, is a continuous function at z = 0, the value of k is A O D 2

A: Solve using the limit difinition of the continuity

Q: Show that Then use (1) to find - Stan³ 1. sin" r cos™ previous one. dr = 1 sin-1 2 m-1 cosm-1 2 tan³…

A: 1) The given integral is tan3x.  Repost the next question.

Q: Use a sketch to find the exact value of the following expression. in-¹(-1)] tan sin Which of the…

A: According to question,Given expression,tansin-1-1517

Q: L-1 s² +4 cosh2t O sinh2t b O sin2t cos2t 2.

A: Thus question is of inverse Laplace transform we can find the inverse Laplace transform of the…

Q: The suitable substitution to evaluate sin24(x + 2) dx is

A: Proceed as shown below...

Q: x) dx + sin? x + cos? .2

A: Given integral, ∫xx+sin2x+cos2xdx

Q: 1. (t+1) 2. 2 sin3t +5cos 3t 3. (е" -е*) (Vi + 1)(2- VE)/VE 5. 8 sin' 3t 4.

A: As per our guidelines we are supposed to answer only first question. Kindly repost other parts in…

Q: g² sin(20)d0

A: According to power rule of integration .

Q: What is L - 2s +3| ? 5s² – 10] A. -2cos 2t –3.sin 2t 8. cos ār -sin v31 sin 3t 3 C. cost --sint 2 D.…

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Q: 2 L-1 (s+2)²+3 бе 6e-2t sin3ta O 2e-2t sin/3t0 .b V3et sin 3tco 2/3e-21 sin/3t.a0

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Q: 2. S(x* +3Vx)dx 3. Sx(1-x)dx x*+a+ 4.

A: we know that, ∫xn dx=xn+1n+1+C ; for all n ∈R-{-1}∫1xdx=ln|x| + C

Q: Evaluate f 3xV1 – 2x² dx A(1 – 2x*) + C B. (1 – 2x*) +c (1-2x²)³ D. +C 2 Evaluate S dx csc 2x-cot 2x…

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Q: Solve the equation on the interval 0s0<2x. 1- sin 0= OA. 3 A 11 OB. 6' 6

A: We can solve it using unit circle method of trigonometry as below

Q: L-1 L** { 7+6s+34 s-1 O a) e-3t cos(5t) – e t sin(5t) b)e 3t cos(5t) – 20e-3t sin(5t) c)e 3t 3t…

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Q: What is L s+2 (s – 3)* - 9 e cosh3t +e sinh 3t 3. A. 3r 8. e sin 3t 3. B. e cos 3t + 3/ 3r 2r C. e…

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Q: 7. | (32+2) sin(z) dz Bz+

A: 7)

Q: Q.#10 Using sine-12/13 and << from Q. #9, please find the following. Hint: You'll need the tricks…

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Q: 1-Cos 2x 1+ Cos 2x ix) tan x=

A: Prove :

Q: 5s+2 L %3D s2+9) 1 5cost+ sint o 1 5cos9t+–sin9t ,o .b O 5cos3t+sin3t . 5cos3t +3sin2t d o

A: Use the standard formula of inverse laplace transform.

Q: de 6) S 7) S(1 – sin? 3t) cos 3t dt 8) ſ tan (5x) sec?(5x) dx cos? e

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Q: (a) Solve the initial value problem y' + 6y = 1 + e-2*, y(0) = 0. (b) Find a general solution of…

A: so we solve it as following.

Q: Using the result of the previous question, explain why 1 n sin" xdx = - sin"-2 xdx. n and hence show…

A: The given problem is to show the result of given integral with using the given integral result.

Q: Which of the following integrals represents the area of the intersection of r = 5+5 sin(0) and r= -5…

A: Given that  The regions  To find the area between the regions