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1. The price of product A as a function of time is given by the function...

1. The price of product A as a function of time is given by the function f(t). Similarly, the function g(t) represents the price of product B. We know that f is concave down and g is concave up. Explain what the concavity represents in the terms of the evolution of the price of A and B.

2. What is the maximum possible number of roots x4 + 4x + c = 0, where c is a constant? Explaain.

3. At which points on the curve y = 1 + 40x3 −3x5 does the tangent line have the largest slope?

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