1 a 0 b 1 -1) 31 For which values of a and b is-2 invertible? Why?

Q: Problem #1: Problem #1: Use Stokes' Theorem to evaluate fo F dr where F = (x+7z)i + (3x+y)j + (2y -…

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A: Fourier series and values of the constants

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A: We use limit test, Comparison test and ratio test to check convergence of series.

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A: The given nonzero vectors are x, y, z and w=6x-6y-z. The vector z=3x-3y. Therefore, w=3x-3y. The…

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Q: Diagonalize A the matrix A. -27 2 3 4 3+ i√5 0 0 [S+W³² $ "VE] [3+1 0 3-i√√5 i√5] 0 0 [-³+1 0 O…

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Q: x 1 1 1 1 0 0 0 0 Y 1 1 0 0 1 1 0 0 Z 1 0 1 0 1 0 1 0 F(x, y, z) 1 1 0 0 0 1 0 0

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Q: Introduction to Discrete Mathematics Let (un)n∈N be the sequence defined by recurrence as follows:…

A: u0=5 un+1=3-2un

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A: Solution given below.

Q: (c) If f is a C² scalar function, then V × (Vƒ) = 0. True False (d) The lines 1₁ (t) = (1 − t, 1+ t,…

A: (C) If c is scalar function Means      curl(grad ƒ)  is = 0   Therefore correct ans is  True

Q: {e-3t+ et cos 4t}

A: Evaluate Laplace transform:  Le-3t+etcos4t

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Q: (5) Determine the degree of the Maclaurin polynomial required to approximate the value of the…

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Q: 1- Calculate the area of the region which is bounded by: y = 4x − 3x², y = ¼ x², and y : = 0.

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Q: Find the critical points of f(x,y) = (x³y-y³) 5

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Q: Use Fourier Analysis identity to prove ** sin sin(mx) cos(nx) dx = 0.

A: To prove:  ∫-ππsinmxcosnxdx=0

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Q: Q₁:A. Solve the ODE: x³y" - 3x²y" + 6xy' - 6y= 10x² use the variation of parameters method to find…

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Q: Suppose that A = 00 (a) Eigenvector with respect to the smallest eigenvalue: v₁ = = 0 0 1 0 where ₁…

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Q: 4. Numerical Methods. Using 4th Order Runge-Kutta method and a step value of 0.2, determine the…

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Q: Question 2 a- Given the ellipse+ a b² normal to the curve in a right-hand sense. Hint: write the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the steady-state vector for the transition matrix. X = 0 1 0 000 Need Help? 1 8 1 0 1/1/00 Read…

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Q: И If (x + iy)³ = u + iv, then show that - X V + ²² = (x² - y²). y

A: In this problem there is a small correction in proving part 4 is missing on the RHS

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A: For the given competing model to find the equilibrium points and analyze it.

Q: Find an appropriate change of variables (and then use it) to evaluate √√₁₂ (x + y)² ex²-y² dx dy…

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Q: Given: AB 1 BC DE LCD BD and AE bisects each other Prove: AB ED Statements Reasons

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Q: Consider the following vectors 3 ------ What are the norms of the three vectors? Number (4 d.p.) (4…

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Q: Problem 4. know about If the power series en x" has radius of convergence 3, what do we n=1 (c) Σ en…

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Q: Consider the following vectors 3 ------ -2 y = 0 |ly|| = What are the norms of the three vectors? =…

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Q: Mary Branson invested her summer earnings of $3000 in a savings account for college. The account…

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Q: Use Taylor's Theorem to find an interval [ — z, z] where the Maclaurin polynomial P3(x) = x − 6 1…

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Q: Using the inner product (,): R² × R² → R, calculate ([2₂] [2₂]) = [₁ ²][8][9] V2 V2 9 3 ([G][B]) -5…

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Q: Let B = vector of 7 = E [V]B 0 1 00 {[%] [83] [28] [89]} 9 9 relative to B. -5 -2 || be an ordered…

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