Linear Approximation Help!

[pigland]

Hey guys, I have this problem that I've been stuck on for quite some hours now. If anyone could help me out, that would be great!

The question is as followed:

Let g(x)=Integral from -25 to x^2 f(t) dt
Use the techniques of linear approximation to approximate g(4.8) given the following information about f.
-f is continuous on the interval (-00,00)
-f is an odd function
-f(25)=1/8

 

[pigland]

Hey guys, I've been stuck on this problem for some long hours now, I still have no idea as to how I'm supposed to solve it.

The question is as followed:

Let g(x)=Integral from -25 to x^2 f(t) dt
Use techniques of linear approximation to approximate g(4.8) given the following information about f
f is continuous on the interval (-00,00)
f is an odd function
f(25)=1/8

 

[stapel]

Let g(x)=Integral from -25 to x^2 f(t) dt
Use the techniques of linear approximation to approximate g(4.8) given the following information about f.
-f is continuous on the interval (-00,00)
-f is an odd function
-f(25)=1/8

Let g(x)=Integral from -25 to x^2 f(t) dt
Use techniques of linear approximation to approximate g(4.8) given the following information about f
f is continuous on the interval (-00,00)
f is an odd function
f(25)=1/8

Which is correct, the first version with the "minus" signs, or the second version without? What is the meaning of the double-zeroes in the "interval"? Is the comma between the zeroes the European decimal point, or something else?

Either way, please reply with a clear statement of your efforts so far, so we can see where you're getting stuck. Thank you! ;-)

 

[Ishuda]

Hey guys, I have this problem that I've been stuck on for quite some hours now. If anyone could help me out, that would be great!

The question is as followed:

Let g(x)=Integral from -25 to x^2 f(t) dt
Use the techniques of linear approximation to approximate g(4.8) given the following information about f.
-f is continuous on the interval (-00,00)
-f is an odd function
-f(25)=1/8

What are your thoughts? What have you done so far? Please show us your work even if you feel that it is wrong so we may try to help you. You might also read
http://www.freemathhelp.com/forum/threads/78006-Read-Before-Posting


As a hint, f is odd means that f(-x) = ?. So what is
\(\displaystyle \int_{-25}^{25}\, f(t)\, dt\)
and how is that related to g(4.8)?