Find a formula for g'(x) and determine the slope g'(4) for the following function. g(x) = 5e3x³+1

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Q: * Question Completion Status: QUESTION 10 (5 points) Evaluate the following integral using…

A: ∫02π​​4sin3xcosxdx Substitute u=sinx. Therefore, du=cosxdx.=∫4u3du=4∫u3duApplying Power…

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Q: Compute the given interval: integral sign f(x) = xe^-3x^2 (dx) =

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Q: Do only question 4

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Q: Find the curl of the vector field F = curl F = 7 + J+ k

A: Given:F=<yx6,xz2,zy5>curlF=∣∣∣∣∣∣∣​i∂x∂​x6y​j∂y∂​xz2​k∂z∂​y5z​∣∣∣∣∣∣∣​=i(∂y∂​(y5z)−∂z∂​(xz2))−…

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Q: Evaluate the integral by changing to cylindrical coordinates. LS 16-26 xz dz dx dy - V 16 - y2 x2 +…

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Q: Find the curl of the vector field F = curl F= 7 + k

A: Step 1: Step 2: Step 3: Step 4:  thank... S.....

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A: Option b is correct (The function is decreasing at that point).