Monday

July 28, 2014

July 28, 2014

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

- FURTHER MATHS -
**Steve**, Thursday, January 31, 2013 at 2:38pmThere 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

**Related Questions**

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 ...

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 - Verify the given linear approximation at a = 0. Then determine the values...

Help please ??? - Verify the given linear approximation at a = 0.Then determine ...

Calc.... - Verify the given linear approximation at a = 0.Then determine the ...

Cal 1 - Verify the given linear approximation at a = 0. Then determine the ...

Calculus Help Please!!! - Verify the given linear approximation at a = 0. Then ...