Question

HELP!!!!!!!! What is the average value of y=e^x between x=e and x=2e?

Answer 1

the slope of the line between 2 points ...

Answer 2

\[\frac{y(e)-y(2e)}{e-2e}\]

Answer 3

These are the options that I have to choose from:

I. e

II. e^(2e) - e^(e)

III. e^(2e-1) - e^(e-1)

IV. e^(2e-1)

V. e^(2)

Answer 4

I got that the answer is V. e^(2), but I think that is not correct.

Answer 5

\[\Large \frac{e^e-e^{2e}}{e-2e}\]
\[\Large \frac{e(e^{e-1}-e^{2e-1})}{-e}\]
\[\Large e^{2e-1}-e^{e-1}\]

Answer 6

Thank you so much! I really appreciate it...!

Answer 7

i think i broke a synapse with that one :)

Answer 8

Hahahaha! :-)

Answer 9

I. f(x) is continuous and differentiable everywhere

II. f(x) is continuous but not differentiable at x = e

III. f(x) is differentiable but not continuous at x = e

IV. f(x) is neither continuous nor differentiable

V. f(x) is undefined at x = e