Question

Can someone check three calculus problems?

Answer 1

My answer is e^4 +3

Answer 2

Number 14. Find the average value over the given interval.
y=4e^-x ; [0,4]

My answer -e^-4 +1

Answer 3

Number 17. Find the are of the region bounded by the graphs of the given equation.
y= 2x^2 -5x+5 ; y= x^2 +7x-15

My answer 85 1/3

Answer 4

\[\large\rm \int\limits_1^{e^2}x+\frac2x~dx=\left[\frac12x^2+2\ln x\right]_1^{e^2}\]Hmmm you should have some 1/2's floating around in your first problem.
I'm not sure how you ended up with that solution.

Answer 5

Oh gosh I see where I messed up. What about the other two?

Answer 6

1/2 e^4 +7/2

Answer 7

you could also break that up into two separate integrals.

Answer 8

What?

Answer 9

Ah yes, that looks better! :)

Answer 10

Okay. Thank you! What about the other two questions?

Answer 11

\[\int\limits_{1}^{e^{2}} x ~dx +\int\limits_{1}^{e^{2}} \frac{ 2 }{ x }~dx \]

Answer 12

@Photon336 That question is already completed.

Answer 13

Hmm -e^(-4)+1?
I ended up with -1 for the other term.
Check again maybe?

Oh oh oh, I forgot the negative in front from integrating.
Ah ok looks good!

Answer 14

So both 14 and 17 are good?

Answer 15

85 and 1/3?
Mmmm yes good job! :)

Answer 16

Okay. Thanks so much!