x³ – 9x? 10. Find the intervals on which the function h(x)= is continuous. x³ – 5x² + 6x

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A: We know that for any value of c, for x &lt; 5, the function is continuous and for x &gt;= 5, the…

Q: If f(5) = 13, f 'is continuous, and f '(x) dx = 17, what is the value of f(7)? %3D f(7) =

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Q: 3. Determine the coordinates of the hole(s) in the function below. x² + 10x + 21 f (x) = х2 — х — 12

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A: SOLUTION-

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Q: (d) Find the absolute extreme values of f on the closed interval -2 < x < 3.

A: d) We have to find the critical numbers by solving f'(x)=0

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A: As per company guidelines we are supposed to answer only one question at a time. for other question…

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Q: 14. Find the intervals over which the function is increasing or decreasing. y = 5x 2 + 6x - 4

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A: Given:

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Q: If f(6) = 15, f'is continuous, and f (x) dx = 15, what is the value of f(7)? f(7) = %3D

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A: Given f(x) = 13x3 - 4x

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A: See image below

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Q: If f(5) = 14, f' is continuous, and f '(x) dx 20, what is the value of f(7)? %3D f(7) =

A: Consider the given integral is, I=∫57f'(x)20=f(x)5720=f(7)-f(5)f(7)=20+f(5)f(7)=20+14f(7)=34