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Q: 23. Evaluate 15 + 25 + 35 + · lim + n n° by showing that the limit is x* dx and evaluating the integ...

A: We can write the given expression as:

Q: Exercises 57–62 require the use of various trigonometric identities before you evaluate the integral...

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Q: If х-+5 lim f(x) = 15, find lim ( 2x – x² /f(x)+ 1 х—5

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Q: In Exercises 1–4, show that each function y = f(x) is a solution of the accompanying differential eq...

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Q: 46. The end plates of the trough shown here were designed to with- stand a fluid force of 6667 lb. H...

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Q: The marketing division of a large firm has found that it can model the sales generated by an adverti...

A: Given

Q: Find an equation for the ellipse whose vertices are at (3, – 7) and (3, – 1), and focus is at (3, - ...

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Q: Prove that if f (0) = g(0) and f' (x) ≤ g' (x) for x ≥ 0, then f (x) ≤ g(x) for all x ≥ 0. Hint: Sho...

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable.

A: Find the derivative of the function,