Calculate F.dr, where C is the curve given by ti + 123+ tk, with t = [0, 1] and F(x, y, z) = 4xei + cos yj + 2r²e-k.

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Q: 57. Let f(x) = lim (a) cos (tan 1) COS X n→∞ 1+ (tan then the value of f f(x) dx is equal to: 0 tan…

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Q: 330 mrem = A. 3.3 mSv B. 3.3 mGy C. 33,000 mSv D. 33,000 mGy

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Q: f(x,y) = (In(y + x²)) x² + y² D = {(x,y) ERIy2x²-1 and y ≤4-e-*) (b) Observe the set Is D…

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Q: A X 2) Consider a matrix M = (6 %) in block form, where A and B are square matrices. Prove that 0 B…

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Q: Exercise II Use the method Laplace transform to solve the following. (a) = 1₂-1₁ +1₁ 2²₂2 = 1₂.

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Q: 1. The graphs of y= f(x) and y= g(x) are shown to the right. f(x) How of the following statements…

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Q: 8. Find the absolute extrema of the function f(x,y)=2x-2xy + y² over the region R. R is the region…

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Q: 13. Find f if f"(x) = 3x + sinx, f'(0) = 2 and f(0) = 4. 14. Evaluate the integral. 2 4x-x³ dx x√√x…

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Q: For the following, write out each term of the summation in the boxes provided. Then compute the sum.…

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Q: Question 16 6 -65 A₁ = 1.9, A2 = 0.9, A3 = 0.4, Vv₁ = ------- -6, V₂ = V3 , and xo = 11 -11 Consider…

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Q: 6. Consider the following linear system of differential equations: dY [ -1 5 2 1 Y. dt (a) Determine…

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Q: 1. Define f: R → R by f(x) = ar³ + br for a, b = R. (a) For which a, b is f injective? Prove your…

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Q: Which statement below best describes the graph? 8 6 A X +2+ -4 -6- O Domain = {-4,-3, 0, 2, 7);…

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Q: dy 7. Find by implicit differentiation. dx 8. Use logarithmic differentiation to find y'. 4x4y6 = y…

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Q: (d) A curve is defined by the parametric equations: -21 x(t)= e' cos 2t, y(t) = e²¹ sin 2t dy…

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