Evaluate F. dr. F(x, y) = 3xi + 2yj C: r(t) = ti + V4 - t²j, -2 < t < 2

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Q: For the given cost function C(x) = 25600 + 500z + x², %3D First, find the average cost function. Use…

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Q: A plane region is bounded by the curves 2x2 + 4x + y = 0 and 2x – y = 0. Sketch the given boundaries…

A: The objective of the question is evaluate the area bounded by the given curves and Sketch of the…

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Q: Exercises Distinct Real Roots of Auxiliary Equation Find the general solution 5. (D² – 1)y = 0

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Q: A population of 200 kangaroo is released into the forest. During the first three years, the…

A: Given,initial kangaroo number, n(0) = 200number of kangaroo after 3 years, n(3) =500carrying…

Q: O f(-1) = 3, lim f(x) = 3, lim f(x) = +∞ O f(-1) = 3, lim f(x) = -o∞, lim f(x) = +o0 O f(-1) = 1,…

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Q: Evaluate the integral. 2 (3u - 5)(u + 2) du -1

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Q: Find r'(t), r"(t), r(t)•r"(t), and r'(t) × r'"(t). r(t)-흑러 - 26 + (a) r'(t) (b) r"(t) (c) r'(t) ·…

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Q: Find the area of the plane region bounded by y = x3, x = -2 and x = 2.

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 8 1 lim t++o \ 5t2 + 6' 5t (0,0)

A: Simplify the component wise

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Q: Find fyry. f (x, y) = x°y® – 8a°y+x f yry ||

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Q: 7. Sketch the region of integration, and evaluate the integral. 2 2x. JI zdz de dr .2

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Q: . .............. Solve the exponential equation algebraically. Approximate the result to three…

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Q: Evaluate T COs(T-a)-sin 글(ㅠ- z) - ㅠ lim T - x

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Q: x+1 dx

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Q: The following series 2n-1 3n n=1 none of them converges to 1 converges to 2/3 converges to 4…

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A: topic - law of sines

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Q: Take

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Q: 4. Let em² cos , 2.x + b, r 0 r>0 h(x) = %3D where b is a constant. (a) Explain why h(x) is…

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Q: Find the area bounded by the indicated curves. y = x4 - 18x? + 81, y = 81 - x

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Q: y" + y' – 2y = 2t, y(0) = 0, y'(0) = 1

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Q: Find V. (V × F) if F(x, y, z) = sin xi + 8 cos(10x – 11y)j+ 3zk. %3D - V·(V × F) :

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Q: Describe the graph of the equation. r = 7 sin 6t i – 7 cos 6t j O It is a circle of radius 6 in the…

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Q: For the given cost function C(I) = 128/ + find 512000 d) The production level that will minimize the…

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