cx2 + 2x if x < 5 Let f(x) x3 - cx if x 2 5. For what value of the constant c is the function f continuous on (-o, co)? C =

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A: We will find the value of k as following.

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A: Please refer the attached image for complete solution.

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A: We will prove as following.

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Q: Find the value for k so that the function will be continuous at x = 2. 4x + 16 if x 2

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Q: #4) Given the function f (x) =x³-x² +2x- 1. Use the second derivative test, where applicable, to…

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Q: 3. Find constants A and B such that the function x2 f(x) = if x 2 is differentiable at x = 2.

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Q: 9. If f(5) = 13, f' is continuous, and f'(x) dx = 16, what is the value of f(6)?

A: Use property of definite integration

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