Our team of expert educators are currently working on this.

Get notified when this problem is solved.

Our educator team will work on creating an answer for you in the next 6 hours.

Problem 54

$53-56$ (a) Use a graph to estimate the absolute maximum and minimum values of the function to two decimal places. (b) Use calculus to find the exact maximum and minimum values. $$f(x)=e^{x}+e^{-2 x}, \quad 0 \leqslant x \leqslant 1$$

Answer

A.SEE GRAPH The absolute minimum value of $f(x)$ is $\approx 1.89$ The absolute maximum value of $f(x)$ is $\approx 2.85$ B.Absolute minimum value is $2^{1 / 3}+2^{1 / 3}(\approx 1.8899]$ which occurs at $x=\frac{1}{3} \ln 2$ Absolute maximum value is $e+e^{-2}[\approx 2.8536]$ which occurs at $x=1$

## Discussion

## Video Transcript

No transcript available

## Recommended Questions