Compute the curl of the vector field F = -2z7+5yj - 8x k. curl =

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A: To find the derivative of the following function.

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A: Solution is following in explanation step.

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A: L=limx→∞e4x3x2

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A: The given integral is x/(3x2-12x).

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Q: •3 L₂(³- -2 - (3 - x) dx

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A: Since you have posted a question with multiple sub parts. As per guidelines we are supposed to…

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Q: Evaluate the following integral. 2 | (0²-0 -2 (4y -6y+6) dy

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Q: g(t) = t³+ t².

A: g(t)=t3+t2

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A: The given curve .The aim is to find the area under the curve in the interval .

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Q: Problem 2. (Fundamental Theorem of Line Integrals) Suppose that the curve c connects the point (0,…

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Q: Find f such that f'(x) = 9 √x f(9) = 59.

A: f′(x)=9x,f(9)=59

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Q: 0 1 2x (4 – x²) dx

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Q: Question Find the area A of the region that is bounded between the curve f(x) = -2 sin () - 3 and…

A: To find the area A of the region that is bounded between the curve  over the interval .

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Q: Use integration by substitution to evaluate (In(x)) ² f(m(x 2x -dx

A: I=∫(ln⁡(x))22xdx

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Q: (1) 2x2 + x- 5y2 = 4 2x2 + x + 5y2 = 4 3x²+1= 4y 12 (2) (3)

A: Note: As per our guidelines, we can solve the first three parts. Please repost the remaining sub…

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A: To evaluate each of the following expression by using the graphs of  shown below.

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A: F′(x)=f(x)=13x and F(0)=0

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Q: 1-√x)³ 3 √x dx

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