Math. 69.104A

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1. Evaluate the derivative of the function f(x) = 5^(sin(x)) at x = Pi

1

- ln(5)

-5

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2. Use the Mean Value Theorem to find the value of the limit as x approaches 0 of {e^(x) - 1}/x where e is Euler's number, 2.71828... .

1

0

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3. Please refer to the "coffee problem" in your notes: Leave the initial conditions intact; using the same data, predict how long it will take for the temperature of the coffee to become 60 degrees (so you can drink it) if the surrounding temperature is 30 degrees (instead of 20 deg. as in the notes). For "k" use the value k = -0.1354.

4.64 minutes

not drinkable at all

5.71 minutes

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4.Refer to the compound interest problem we did in class this morning. Assume the interest rate is 9%, compounded monthly over a 48 month period, and that you can afford a mere $200 per month in payments. What is the maximum ticket price you can pay, no money down??

$8,036.95

$11,504

It doesn't matter, I'll buy it regardless of what it costs!

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