Find the divergence of the vector field F. F(x, y, z) = In(9x2+ 6y² )i + 54xyj + In (6y? + 5z?)« F(x, y, z) =

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A: topic- functions and derivatives

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A: To evaluate the given difinite integral. By using a graphing utility to verify your result.∫0πsinx-3…

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Q: Which of the following differential equation has the same order and degree? [dy]6 + 5y = e* A. + 8…

A: See the answer below

Q: division

A: We will solve using long division method.

Q: Find the limit: 4z4 – 4y4 lim (1,9) → (3,3) 4yª z² - y?

A: lim(x, y)→(3, 3) 4x4-4y4x2-y2

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Q: 16. Given: [ S(x)dx=10; s(=)d& x = ? (x)dx= 3;

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Q: dy into 11. The rationalizing substitution y = u° transforms J 7(1+ В. 6 f и du D. 6J TFu² du С. 6 /…

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Q: dx 2. To evaluate | by trigonometric substitution, we let (5 – 4x – x - A. x+2= 3tane B. x+2= 3sine…

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Q: Condense the expression to the logarithm of a single quantity. (log3(x - + 1) + 2 log3(x – 1)] + 6…

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Q: C6. If FCX) =3x-4,43 li find F'(xland f"(x)

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Q: 21. 3* 3=*-x+'(12x² – 4) dx

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Q: f(x) = x3 + x2 - 6x y 30- g(x) = 6x 20+ (3, 18) 10+ -10+ -20- (-4, -24) -30- 2.

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Q: Find the equation of the tangent line to the graph of y = x3 + 3x2 + 2 at its point of inflection

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Q: 9. Verify the identity 1 1 = 2 sec² x 1-sinx 1+sin x

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Q: 5. If f(x)= 5x² + 2x+1 is an invertible function, find the slope of the tangent line to f^(x) at the…

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Q: Choose the right description for the given differential equation 3 Sm :) + 8 m бр? COS m + Т. %3D O…

A: The given DE is: δmδn2+δ2mδp2=cos m+T

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Q: 16 Indicate the general rule for the arithmetic sequence with a3 = 8 and a8 = 33. a n = 2 + (n -…

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Q: dy if 6 + sin 2y = dx 2y + 3x by using implicit differentiation. 2y + 3x Find Hence, find the…

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