Help with five calculus problems from scan

[Mellivice]

http://img300.imageshack.us/img300/6669/scan8sr.th.jpg

I know no one knows me but this can help me a lot
Thank you for your help ahead of time

 

[Curious3141]

What are you having problems with. You have to show some work for each of the problems before getting any help here.

 

[Mellivice]

Ok for question 2 i need to see if in part A if it statisfys the Mean Value Theorem, and if it does which is the value of C which statistfies the condition of the theorem

f(x)=(16-x^2)^1/2 on [-4,4]

if differentiate it should like this or i am not smart

-x/(16-x^2)^1/2

From the looks of it it does not but i just want to see anyone elses opinion

 

[J77]

Your differentiation is OK, now you need to find a point c in (-4,4) which satisfies:

$$f'(c)=\frac{f(4)-f(-4)}{4-(-4)}$$