Questions from College Mathematics


Q: Can a cubic polynomial function have more than two horizontal tangents?

Can a cubic polynomial function have more than two horizontal tangents? Explain.

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Q: Compute the probability of event E if the odds in favor of

Compute the probability of event E if the odds in favor of E are. Answer:

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Q: Find the indicated derivatives. y′ if y

Find the indicated derivatives. y′ if y = (2x – 5)2

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Q: Find the indicated derivatives. /

Find the indicated derivatives.

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Q: Find the indicated derivatives. /

Find the indicated derivatives.

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Q: Discuss the validity of each statement. If the statement is always

Discuss the validity of each statement. If the statement is always true, explain why. If not, give a counterexample. The derivative of a quotient is the quotient of the derivatives.

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Q: Discuss the validity of each statement. If the statement is always

Discuss the validity of each statement. If the statement is always true, explain why. If not, give a counterexample. The derivative of a constant times a function is 0.

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Q: Let (x) = u(x) - v(

Let (x) = u(x) - v(x), where u′(x) and v′(x) exist. Use the four-step process to show that  = (x) = u′(x) - v′(x).

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Q: A company’s total sales (in millions of dollars) t months

A company’s total sales (in millions of dollars) t months from now are given by S(t) = 0.015t4 + 0.4t3 + 3.4t2 + 10t - 3 (A) Find S′(t). (B) Find S(4) and S′(4) (to two decimal places). Write a brie...

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Q: Suppose that, in a given gourmet food store, people are

Suppose that, in a given gourmet food store, people are willing to buy x pounds of chocolate candy per day at $p per quarter pound, as given by the price– demand equation This func...

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