Find div F and curl F if F(x, y, z) = 17y³z³i − 8x¹z7j – 7xyºk. - div F= curl F=

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Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

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Q: Given f(x) dx = 17 and (a) (b) (c) (d) L₁ (r(x) [f(x) + g(x)] dx g(x) dx = -5, evaluate the…

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Q: Find the derivative of each function. a. f(x) = e³x f'(x) = b. f(x) = -8e³ f'(x) = c. f(x) = -4e0.5.…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) so (70 - 3 csc(0)…

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Q: Sketch the graph of a function with a critical point that is not an extremum and a critical point…

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Q: Find the critical points of ƒ(x) = −12x² + 4x² − 3 and apply the Second Derivative Test (if…

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Q: -2x³ +39x² - 216x +9 Consider the function f(x) = -2x³ Find the local minimum and local maximum and…

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Q: 5. Consider the function f(x) = tan r, -T/2<x<T/2. (a) Use the quotient rule to find an equation for…

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Q: Estimate f(3.06, 3.94) assuming that f(3,4)= fx(3, 4) = 0.7, fy(3,4) = -0.8 (Use decimal notation.…

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Q: 4. Use Green's Theorem to write a double integral equal to the given line integral. Then evaluate…

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Q: Sketch the region R and evaluate the iterated integral y 2.0 1.5 1.0 0.5 1-2x+By) dy dx " ((x, y)…

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Q: relative maximum (x, y) =

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Q: A particle moves in a straight line and has acceleration given by a(t) = 6t+4. Its initial velocity…

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Q: 2. Find the equation of the tangent line to the curve f(x)=ex Inx at the point P(1,0).

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Q: Determine the vector field of F. F(x, y) = yi-xj 1 1

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Q: Write the following equation in standard form by completing the square. y2-12y - 8x+ 20 = 0 O (y +…

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Q: Provided below is a differential equation: y"+7y'+12y = 80e^(-x) Utilize the method of undetermined…

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Q: 5. The number of hours of daylight in Delhi India, varies sinusoidally during the year, as described…

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Q: Suppose R is the shaded region in the figure, and f(x, y) is a continuous function on R. Find the…

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