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# Ch3-9WS - 4 A glass of cold milk from the refrigerator is...

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Mrs. Waldron BC Calculus 604 Ch 3.9 Derivatives of Exponential and Logarithmic Functions 1. The spread of a flu in a certain school is modeled by the equation: 5-t 200 P(t) = 1 +e Where P(t) is the total number of students infected t days after the flue first started to spread. a) Estimate the initial number of students infected with this flu. b) How fast is the flu spreading after 4 days? c) When will the flu spread at its maximum rate? What is this rate? 2. Let f(x) = 3 x – x 3 . For what values of x is the tangent to this curve parallel to the secant through (0,1) and (3,0)?

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3. If y = e x (x-1), find y ''(0).
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Unformatted text preview: 4. A glass of cold milk from the refrigerator is left on the counter on a warm summer day. Its temperature y (in degrees Fahrenheit) after sitting on the counter t minutes is f(t) = 72 - 30 (0.98) t . a) What is the temperature of the refrigerator? b) What is the temperature of the room? c) When is the milk warming up the fastest? d) When is the temperature of the milk 55ºF ? e) At what rate is the milk warming when its temperature is 55ºF? 5. Find the derivatives of the following: a) y = ln (tan 2x) b) y = log 3 (tan 2x) c) x x e y = ln e - 1 d) y = (ln 3) t...
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