Using Green's Theorem, find the outward flux of F across the closed curve C. F = (7x + 7y)i + (5x-3y)j; C is the region bounded above by y = -2x2 + 175 and below by y=5x² in the first quadrant -3480 - 10320 Ⓒ-3440 7000 3

Q: Let D. be the linear transformation fromc (a, 6] into cla, e). Find the preimage of the function.…

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Q: Use the Wronskian to determine if the given functions are linearly independent on the indicated…

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Q: Do question 1 only

A: For any query with the solution, please ask in the comment box.

Q: #1 part j

A: For question 1 part j: To show that for real values x, y If 0<x<y then 0<1y<1x

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Q: Explain the transformation of f(x) = - abs(x-2) - 3

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Q: Find the volume of the image of the unit cube under the linear transformation

A: T100=130, T010=202, T001=-1-31

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A: We have y=x-1x-2x-3 First, we find the critical points by letting y=0: y=0⇒x-1x-2x-3=0⇒x-1=0, x-2=0,…

Q: Let xj = xo + hj for j = 0, 1, 2. Use the quadratic polynomial interpolating f at those nodes to…

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Q: Let S = Þ (D), where D = {(u, v) : u² + v² ≤ 1, u ≥ 0, v ≥ 0} and Þ (u, v) = (2u+1, uv, 3u + v). (a)…

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Q: Find the unique solution of the second-order initial value problem. y'' + y' - 20y = 0, y(0) = 3,…

A: Since you have posted multiple questions, we will provide the solution only  the first  question as…

Q: Determine the interval(s) over which f(x) = (x − 4)³ is concave downward. O a O b Od (-∞0, 4) (-∞,…

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Q: Show that the mapping f:R2 → R² defined by f(x1, x2) 5x2) is linear. = (2x1 + x2, -3x1 +

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Q: Determine a potential function to evaluate (F*dR for C any path from the first point to the second.…

A: Given:F=3x2(y2−4y)i^+(2x3y−4x3)j^​Two points: (x1, y1) = (-1, 1)(x2, y2) = (2, 3)To determine a…

Q: d K, d1 + d. +... + K, 2 n K, K, 1 n

A: Let d=d1+d2+....+dn From Cauchy Schwarz inequality , we have- d1k12+d2k22+.....+dnkn2…

Q: Use the Second Shift Theorem to determine i. F(3te-(t+5)²) F-1 e3(w+2)j ii. 3+(w-5)j

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Q: 6. (p.232, #4) A function f: Z → Z × Z is defined as f(n) = (2n, n + 3). Verify whether this…

A: Injective Function: A function f: A→B is said to be Injective or one-to-one function, if for any two…

Q: 4) Let ƒz = dƒ/əz and ƒz = 0ƒ/əz. Recall ƒ = u + iv, the notation f is used for the complex…

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