Find the divergence of the vector field F. F(x, Y, z) = In( 9x²+ 8y² )i + 72xyj + In(8y² + 7z? )« F(x, y, z) = %3D

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A: To solve the following problem

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Q: 1. Find the area bounded by the parabola y=4ax, the x-axis, and the lines x=4a, x=9a.

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Q: Find V · (V × F) if F(x, y, z) = 3 sin xi + 6 cos(6x – 7y)j + 3zk.

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Q: 4. SET A. Evaluate di/dt, correct to 4 significant figure, when t 0.1 and I 15t sin 3t. %3D

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Q: 3. For the given differential equation xy' – 4y = x*e* a) Find P(x) and Q(x) functions of a FOLDE.…

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A: We will use the concepts of A.P.

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Q: Question 5 Determine the derivative of the given function: y = (e + e)3 O y = 3(e- + e")² (e- + e")…

A: The derivative is given below.

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Q: (- 1)"(x + 1)" n! Consider the series E n=0 (a) Find the series' radius and interval of convergence.…

A: We will use Ratio Test for convergence

Q: Find curl(7z i+ 8x j + 5y k). curl(7z i+ 8x j+ 5y k) = (i )i + ( i )j +( i )k

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Q: Evaluate the integral. (5 – 2t + 3t2) dt |

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Q: Find y': y arcsin Oy =-- %3D Oy = - zV-9 %3D Oy = %3D zV-9 %3D -69

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Q: Find V · (V × F) if F(x, y, z) = 7 sin xi + 10 cos(4x – 5y)j+ 5zk.

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Q: Describe the graph of the equation. r - 12cosri + 5sinsj -k O tis an ellipse in the z = -1 plane,…

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Q: Question 4 Given the expression below, +. 4rab determine y". Upload Choose a File

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