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

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