a?u 2. Solve 0, 0 < x < T, 0

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Q: 3t Using standard Laplace transforms, find Laplace transform F(s) for cos (G)

A: f(t)=cos23t2using:cos 2x =2cos2x-1f(t)=1+cos23t22f(t)=12+cos 3t2F(s)=L12+Lcos3t2

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A: Note: sorry for unconvince. As per our guidelines we should solve only 1st question. So please…

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Q: 6. (a) (2/3, 2, 1) (b) (4, 3, 2)

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Q: 19. Evaluate the given integral, ſe*1+ ex dx: A.(1 + e*) + c B. (1 + e*)} + e c. (1 + e*)* + D. (1+…

A: Evaluate the given integral,

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Q: Find the derivative of each function defined as follows: 1. y (2x3 + 9x)5 2. f(x) = -7(3x* + 2)-3 3.…

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Q: (a) Graph y = 200(0.45)0.7 for x= 0 to x= 10. (b) What is the initial value of this function (the…

A: We have to find the limiting value

Q: 3. |sin3xsin 2x dx

A: 3. Now sin 3x sin 2x=12(cos(3x-2x)-cos(3x+2x))=12(cosx - cos5x)

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Q: 4 3 The volume of a cantaloupe is given by V = . The radius is growing at the rate of 0.5 cm/week,…

A: topic - application of derivatives

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Q: to double? Us Find the inverse of f(x) = log, (3a + 1) +2 The

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Q: 16. Evaluate the given integral, ," x sin x² dx coS 16 coS 4 A. 2 2 cos 16 cOS 4 В. + 2 cos 16 coS 4…

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Q: A. Evaluate the following integrals. dx 1. 5+x2 dx V4-9x2 dx 3. x V16x2–25 dx 4. x2+4x+13 2.

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Q: INTEGRATION OF TRIGONOMETRIC FUNCTIONS AND ITS TRANSFORMATIONS Evaluate the given integrals. Please…

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Q: Let F be the function whose graph is shown below. Evaluate each of the following expressions. (If a…

A: A limit limx→a f(x) exists at x=a if limx→a+ f(x)=limx→a- f(x)=L and limx→a f(x)=L.

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Q: Suppose f(x, y) = x² + y? + x?y+ 2 and D = {(x, y) : |x| < 1, |y| < 1}.

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Q: 3. Give the parametric and symmetric equations of the line that passes through he point (4, –3, 5)…

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Q: dx is x V16x2-25 3.

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Q: Consider the following cost function. a. Find the average cost and marginal cost functions. b.…

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Q: 5* Determine whether the sequence defined by a* %3D 8* +1 converges or diverges. If it converges,…

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