If F(r) 17r 3 and o is the surface (x − 4)² + y² + z² = 49 oriented ||r||³ outwards, what is the value of [/F. F.ndS? NOTE: Enter the exact answer. //F F.ndS = =

Q: SOLVE FOR THE LAPLACE TRANSFORM OF THE GIVEN EQUATION. P 3.f(t)= te2t sint IMAL

A: We need to find Laplace Transform of ,  ft = te2t sin2t That is , Fs = Lft. Fs = Lte2t sint We know…

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Q: f(x)=x(40-x)/(20+9cos(x)) Let the function and the set V=[10,15,20,25,30]. Consider the set W of…

A: Given, The function f(x) = x(40-x)(20+9cos(x)) and the set V = [10,15,20,25,30]. The set W of pairs…

Q: [y²e + √elnx dy-(xy) sin² ( * O) + (---) (-) sin² tan² ,dx ey+Inx dy y(In2x-lny) -ex. dx = 0

A: We can solve this using substitution method of ordinary differential equation

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A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

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Q: Find T(t) and N(t) at the given point. r(t) = (t² − 8)i + tj; t = 8 - T(8)= N(8) = =

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Q: dx x² √√16-(x-3)² Let x 3 = 4sec 0 dx = 4 sec 0 tan 0 de Is the solution on the right track? If yes,…

A: Your approach is right but your taken value are wrong We can solve this using  x+3 = 4sin^2(theta)…

Q: 2. Let A = 24 02 (a) Determine the Jordan form J of A and the corresponding transformation matrix M.…

A: Note:- As per our guidelines, we can answer the first two parts as both the parts relates each other…

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A: Please see the attachment

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Q: Exercise 7. Prove (using the definition) that f(x) = √x² + 1 is uniformly continuous on [0, 1].…

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Q: Consider the region Rxy in the plane XY. 31 Ray y=x+3 y=z-l u = xy y v=x-y Consider the variable…

A: Given that u=xy .....(1)  and v=x-y.....(2). To find: I=∬Rxyx2-y2·ex2y-xy2 dAxy in uv plane.

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Q: SECTION IV: SOLUTIONS TO NONLINEAR-EQUATIONS 2 sin (ex) f(x): X 1. Given f(x) above, find f'(x). 2.…

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A: The given integral is                                    ∫Cy-xdx+(2x-y)dy for the given path.…

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Q: 5. Consider the vector space C[0, 1] of continuous functions on [0, 1] with inner product (f.g) = f*…

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Q: Which ones are composite numbers? 51 111112 1 71

A: We answer this based on prime factorization.

Q: Determine the Laplace Transform of the following functions. Show your detailed solution 2. f(t) = 3…

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Q: 1. Let s, =2+j8 md -, = 4+j36. Show that a. -1+- = -+- 1 -1- -2 -1 -2 = -1-2 -1 : b. C d. =2 ||

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Q: Solve for y" (2): y" - y = 0, y(0) = 12, y'(0) =

A: Differential equation and it's solution

Q: Describe the graph of the equation: r = 7ti - 8j + (1 + 9t)k. [Choose the correct answer.] O The…

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Q: (c) Show that the set {r EN | x² % 4 = 1} is equal to the set {EN | x² % 8 = 1}.

A: Two sets are said to be equal if the number of elements in both the sets are equal. Now, we have one…

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Q: 1. Four friends (including Adam) were at the company picnic. Each friend had a different drink (one…

A: Four friends (including Adam) were at the company picnic. Each friend had a different drink (one was…

Q: Verify the formula [[F.nds = [ div F dV in the Divergence Theorem by evaluating the surface integral…

A: The function given is as follows: Fx, y, z=2xi^-yzj^+z2k^ With σ being the paraboloid z=x2+y2 capped…

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Q: Let A = {2 € 0 m ² + 2 > 1}. (a) Sketch the set A in the complex plane. (b) Is z = -2i a boundary…

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Q: C) USE PIVOTAL ELEMENT METHOD FIRST APPLICATION: (EXPAND ABOUT COLUMN 2, REF. ELEMENT = a32) SECOND…

A: As per the question we are given a 5×5 matrix A and we have to find its determinant by : Expanding…

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Q: 3. Use the surface integral is Stokes' Theorem to calculate the flux of the curl of the field F…

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