Friday

August 22, 2014

August 22, 2014

Posted by **saud** on Sunday, October 30, 2011 at 6:48pm.

Δf ≈

Estimate the actual change.

(Use decimal notation. Give your answer to five decimal places.)

Δf=

Compute the error and the percentage error in the Linear Approximation.

(Use decimal notation. Give your answer to five decimal places.)

Error =

- Calculus -
**bobpursley**, Sunday, October 30, 2011 at 7:23pmlinear approximation means get the slope.

df/dx=-2(2x)/(1+x^2)^2

at at x=3.25, df/dt= -4*3.25/(1+3.25^2)^2=-.0972

df=-.0972*x but x= 3.5-3=.5

df=-.0488

actual

f(3)=2/(10)=1/5

f(3.5)=2/(1+3.5^2)=.150

f(3.5-f(3)=-.050

error (.0488-.050)/.050 about 2 percent

f(3.5)-f(3)=-.350

- Calculus -
**saud**, Sunday, October 30, 2011 at 8:13pmit says the answer is incorrect

**Related Questions**

Calculus Help Please!!! - Compute Δy and dy for the given values of x and ...

math - (a) Use the Midpoint Rule and the given data to estimate the value of the...

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

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

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

calculus - Let x = 1 and Δx = 0.01. Find Δy. (Round your answer to ...

math 160(buss calculus) - my homework is due in 1 hour Let x = 1 and Δx = 0...

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

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

Practice Exam Calculus - The radius of a sphere was measured to be 20cm with a ...