f(t)=te¹ + Tf(t - T)dT a. f(t)=sin(t)-tsin(t) t²e¹, 3te¹ b. f(t)= + 4 4 c. f(t)=sin(t) + cos(t) d. f(t)= 4t 17 + 3t e. f(t)= + 10 e 8 64sin(√17t) 17√17 27sin(√10t) 10√10

Q: d da -f(x) = cos x, f(0) = 9.

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Q: = Complete the following truth table. Use T for true and F for false. You may add more columns, but…

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Q: 13x Find the derivative of the function y = 2 tan¬1 (5x ). (Use symbolic notation and fractions…

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Q: 2. 1 Evaluate the definite integrals below. Use u-substitution when appropriate. 4 5 3el/x (a) (b) |…

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Q: Find f(t). f(t) = exp(-3t) sin(t) exp(t) sin(3t) exp(3t) cos(t) exp(-t) cos(3t) exp(3t) sin(t)…

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Q: e. ƒ (t) = tU(t − 3) f. f(t)=sint U(t − π)

A: We have to find the Laplace transformation of the given function.

Q: x(3-5x) 2. dx (3x- 1)(x – 1)²

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Q: Find f′(x) and f′(c). Function f(x) = x cos x Value of c = /4

A: The given function f(x) - f(x) = x cosxDifferentiation on both sides with respect to 'x' to get the…

Q: 3sec2(t) Find f dt ? 6+3 tan (t)

A: Assume (6 + 3*tan(t)) = u and solve the integral.

Q: •T/4 t4 tant dt 2 + cos t -T/4

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Q: (d) : 2x² – 8x – 13 dx x² – 5x – 6 2.

A: As per company rules we can answer only first question and rest can be reposted

Q: then dy dx y = tan -1 ¹ ( √7x² − 1),

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Q: Express the function f in terms of the unit step function: sin(2t) 0st 2n.

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Q: Given y = f(u) and u = g(x), find y=8u+1, u = dx (글)x 2 || 3 + dy ᆞ = f'(g(x))g'(x). dx

A: According to Bartleby guide line we only do first part of multiple questions.(A) y=8u+1,

Q: -2t L{e cos? 21

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Q: Let Find f(x)|x=7 = y = f(x) = ( 2 ) ²³ d dæ f(x)\x=7² sin x.

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Q: Find the derivative for x 1 1. (4Tx)"/2 e 4t |t|2 e 4x 2. 3.

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