Friday

July 25, 2014

July 25, 2014

Posted by **Ren** on Wednesday, November 7, 2012 at 9:49pm.

A. Use Linear approximation to approximate.

b.is this underestimate or overestimate? Justify answer.

C.Approximate f(2.25) using the linear approximation and compare the answer with the exact value.

Thanks.

- Calculus(Urgent help) -
**Steve**, Thursday, November 8, 2012 at 12:01amf'(x) = 3x^2 - 6x + 3

f''(x) = 6x - 6

f''(2) > 0, so the graph is concave up at x=2. So, a linear approximation will underestimate f(x)

f'(2) = 3

f(2) = 3

the line through (2,3) with slope 3 is

y = 3(x-2)+3= 3x-3

y(2.25) = 3.75

f(2.25) = 3.953

the line underestimates

**Related Questions**

Calculus - Find the linear approximation of the function f(x)=^3sqrt(1+3x) at a=...

calculus - se differential, i.e., linear approximation, to approximate (8.4)^(1/...

Linear Approximation - Use linear approximation, i.e. the tangent line, to ...

calculus - Use differentials (or equivalently, a linear approximation) to ...

Math (linear approximation) - Find a linear approximation of the function f(x)=(...

Calculus - Use linear approximation, i.e. the tangent line, to approximate 8.4^(...

Calculus - Use linear approximation, i.e. the tangent line, to approximate 8.4...

Math - Use differential, i.e., linear approximation, to approximate (125.4^(1/3...

Calculus - Suppose that you can calculate the derivative of a function using the...

Calculus - Use linear approximation, i.e. the tangent line, to approximate (1/0....