Course:MATH102/Question Challenge/2010 December 01f

Question

For this short-answer question, only the answers (placed in the boxes) will be marked.

A certain function ƒ satisfies ƒ(3) = 5 and ƒ′(3) = 7. Given these facts, find an approximate numerical value for ƒ(3.02).

Solutions

Solution
$f(a)\approx f(x)+f'(x)(a-x)$ $f(a)\approx 5+7(3.02-3)$ $f(a)\approx 5+7(0.02)$ $f(a)\approx 5+0.14$ $f(a)\approx 5.14$