Download DBATU B.Tech 2019 Oct-Nov IT 3rd Sem Engineering Mathematics III Question Paper

DR. BABASAHEB AMBEDKAR TECHNOLOGICAL UNIVERSITY, LONERE

Course: S.Y. B. Tech.ALL

Subject Name: Engineering Mathematics-III

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Sem: III

Subject Code: BTBS301

Date: 03.10.2019

Max. Marks: 20

Duration: 1Hr.

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Instructions:

1. All questions are compulsory.
2. Use of nonprogrammable calculator is allowed.
3. Figures to right indicate full marks.

Q1. Attempt the following. (6Marks)

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1. Find Laplace transform of e^-3tt⁴
1. 4 / (s+3)⁵
2. 5! / (s+3)⁵
3. 4! / (s+3)⁵
4. 4! / (s+3)⁵

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2. The Laplace transform of sin2t(t - 2) is ........
1. e^-2ssin2
2. e^-2ssin4
3. e^-4s sin4
4. e^-2ssin4s

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3. Find Inverse Laplace Transform of [s²-3s+4] / s³
1. t-3t+2t²
2. 1-3t+ 4t²
3. 1-6t+2t²
4. 1-3t + 2t²

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4. L^-1[f'(s)] =
1. ?₀^t f(t)dt
2. e^t f(t)dt
3. s?₀^t f(t)dt
4. f'(t)dt

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5. If F(?) is Fourier transform of f(x) then Fourier transform of f(ax) is
1. F(a?)
2. F(?/a)
3. (1/a)F(?/a)
4. F(?)

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6. Fourier cosine transform of f(t) = e^-2t is

Q2. Attempt any Two of the following. (6Marks)

1. Find L{ e^3t ?₀^t sint dt}
2. Find Inverse Laplace Transform of log(s/(s+6))
3. Find Fourier cosine transform of e^-3x

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Q3. Attempt any ONE. (6Marks)

1. Solve dy/dt + x = cost, dx/dt + y = Sin t such that y(0) = 2, x(0) = 0 by Laplace transform
2. Find f(x) if F(?) = FirstRanker.com

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