4 1 ' = |0 4 1 X 0 0

Q: 3. Solve the following IBVP: Ut = Uzz + sin(37x), 00, u(0, t) = u(1, t) = 0, t> 0, u(x, 0) =…

A: Solution

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Q: 2. Using the matrix Q from above we define B QQ'. An SVD for B is B = UEVT 0 1 0 (a) Explain why B…

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Q: 10 -7 Let u = and v = Compute u • v, v · v, ||u|| and find the dis- 13 16 tance between u and v.

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A:

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A: a.(i) Calculate a table of points for the function y=x3-3x2-9x-1. x y 1 -12 2 -23 3 -28 4…

Q: 7. Simplify using Set Identities. Indicate the rule applied for each step. (AN B)U (C nĀ)NB…

A:

Q: 1. Evaluate the following integral: (6 + 3 cos x) dx a. Analytically b. single application of the…

A: g. Consider the given integral, I=∫0π26+3cosxdx For multiple application of Simpson's rule with n=5,…

Q: Calculate the Laplace inverse of 4s +8s 10. F(s) = (s- 2)(s² – 4s +13)²

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A: Solution:-

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Q: Use the residue theorem to show log a dx log 2. 4+ x2 2

A: We have to show ∫0∞logx4+x2dx=π2log2 by residue theorem.

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Q: 2. Draw a parsing tree for a. (8x – y)5 – 7V4z – 3. b. (a – (3+ 2b))/(c² + d). - -

A:

Q: Problem 3. (a) Find the general solution for the system of ODE (4 -3) x' = 8 -6 X. Describe the…

A:

Q: 3. Compute the iteration for the function f(x, y) = 4x³ + 6xy? R=[1,3]x[-2,1]. on the rectangles

A: Double integral over the function

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A:

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A: in july 2012, Price is $187000 in sep 2012, Price is $206000

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A: Given below clear explanation

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Q: 3. cos?wt

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Q: 8.) Find the area inside r= 3cos(0) and outside r =2 - cos(0)

A: Area bounded by polar curves

Q: Example:4 Verify Cayley-Hamilton theorem. Hence find 2 -1 A-1, A -1 2 -1 1 -1 2

A:

Q: 2. Use zero- through third-order Taylor series expansions to predict f (3) for f(x) = 25 x3 - 6x2 +…

A: f(x) = 25 x^3 - 6 x^2 + 7 x - 88 f`(x) = 75 x^2 -12 x + 7 f``(x) = 150 x - 12 f````(x) = 150

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Q: 2- Find the inverse Laplace transform of the these functions 3 (a)F(S) = S3 4s (b)F(S) s2 + 8 S - 1…

A: According to our guidelines, we are supposed to answer only first three subparts.Kindly repost other…

Q: 2. Suppose that S is a surface in R3 with unit normal vector N surface area of S is given by (n1,…

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Q: s+5 3. 55 – 8s3–6s2+7s+6 (Solve using two methods)

A: We can solve this question using partial fraction and residue theorem

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Q: hen writing proofs by contradiction we begin by assuming the opposite of a statement, and then show…

A: Solution :-