Posted by **FLORENCE** on Thursday, January 31, 2013 at 1:58pm.

STATE THE LINEAR APPROXIMATION FOR: (2.04)raise to power 5

- FURTHER MATHS -
**Steve**, Thursday, January 31, 2013 at 2:38pm
There are lots of possible approximations. If we have

y = x^5, the slope of the tangent line is

y' = 5x^4

At (2,32), the slope is 80

so, if a(x) is the line,

a(x) = 80(x-2)+32

a(2.04) = 80(.04)+32 = 35.2

In fact, 2.04^5 = 35.33

## Answer This Question

## Related Questions

- linear approximation - a) Find the linear approximation of the function f(x)=...
- calculus - se differential, i.e., linear approximation, to approximate (8.4)^(1/...
- mechanics of materials - A metal bar with a cross-sectional area of 50mm2 is ...
- Math - Use differential, (i.e. linear approximation), to approximate cube root ...
- Calculus - a.) Given that f(3)=5 and f'(x)=x/((x^3)+3), find the linear ...
- Math - a.) Given that f(3)=5 and f'(x)=x/((x^3)+3), find the linear ...
- Math (linear approximation) - Find a linear approximation of the function f(x)=(...
- math - Suppose f(x)=ln x. (a) Find the linear approximation of f at a=1. L(x)= (...
- CALCULUS - If the local linear approximation of f(x) = 3sin x + e3x at x = 2 is ...
- math - Verify the given linear approximation at a = 0. Then determine the values...

More Related Questions