Find the absolute maximum and absolute minimum values off on the given interval. (Round all answers to two decimal places.) f(x) = xex/162 [-8, 18] -8 18 X (min) X (max)

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A: The given series,     ∑n=0∞xn5n

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A: Explanation of the answer is as follows

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A: Use chain rule for derivative

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Q: 14) Find the mean value of the function y = 4 - x² on the interval [-1,2].

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A: Use derivative for finding the curvature .

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Q: Compute the following determinant. -5 2 우리 1 6 0 X

A: We have to find the determinants

Q: 10. Find the area of the paraboloid x² + y + z² = 2 by the plane y = 0. (Hint: Implicit Surface)

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Q: Let f(x) = 3x5 - 5x³.

A: The given function,   f(x)=3x5-5x3

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A: we have to find the graph

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Q: 3. Solve the following equations by using variation of parameters methods: a) y" - 2y' + y = e* ln x

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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A: Here we have to verify the Green's theorem.

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Q: cos( sin 8x 8 Also, u = x. Therefore, the differential is du = dx dr Step 2 To find the integral J x…

A: A detailed solution is given below.

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A: To integrate by using the trigonometric substitution.

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Q: • [F. dr. Evaluate F(x, y) = xi + yj C: r(t) = (3t+1)i + tj, 0 st≤1

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Q: integration

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A: Given query is to find the value of a and b.

Q: Find the area of the region that is enclosed by the cardiod r = 10 - 10 sin 0. NOTE: Enter the exact…

A: Given:       r=10+10sinθ  Area of cardiod A=∫∫Dr dr dθ…

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