Calculus II. 2 word problems that need help solving. PLEASE SHOW WORK! A cup of

Question

Calculus II. 2 word problems that need help solving. PLEASE SHOW WORK!

A cup of coffee is served to you at 185 degree F in a room where the temperature is 65 degree F. Two minutes later the temperature of the coffee has dropped to 155 degree F. How many more minutes would you expect to wait for the coffee to cool to 105 degree F? Given f(x) = x2e-x, Find the domain. Find the intervals where the function increases/decreases. Find the local extrema, if any. Determine the concavity, and find the points of inflection. Sketch the graph, indicating all asymptotes.

Explanation / Answer

f(x)=x^2e^-x

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