Saturday

September 20, 2014

September 20, 2014

Posted by **Daniel** on Friday, April 12, 2013 at 1:46pm.

b. Sketch for yourself the graph of f and the rectangles. Is this left sum an overestimate or underestimate? Enter OVER or UNDER.

c. Now use 5 right rectangles to estimate the area.

d. Is the right sum you got an overestimate or underestimate? Enter OVER or UNDER.

- Calculus -
**Damon**, Friday, April 12, 2013 at 2:04pmy = 25 - x^2

x _____ y

0 _____ 25

1 _____ 24

2 _____ 21

3 _____ 16

4 _____ 11

delta x = 1

so

25 + 24 + 21 +16 + 11 = 97

b the rectangles are all ABOVE the curve, so the estimate is OVER

c do it now with x = 1, 2, 3, 4, 5

these rectangles are below the curve so under estimate

real answer by the way:

integral from x = 0 to x = 5 of 25-x^2

25 x - (1/3)x^3 at 5 - at 0

125 - (1/3)(125) = (2/3)(125) =83 1/3

**Answer this Question**

**Related Questions**

Calculus Help Please Urgent!!! - a) Estimate the area under the graph of f(x)=7+...

Calculus - a) Estimate the area under the graph of f(x)=7+4x^2 from x=-1 to x=2...

Calculus - Use 5 right rectangles to estimate the area of the area under the ...

Calculus - Estimate the area under the graph of 25−x 2 from x = 0 to x = 5...

Calculus - Set up a Riemann sum to estimate the area under the graph of f(x) = ...

Calculus - Question Details: Do the following. (Round your answers to four ...

Calculus-Approximate areas - Estimate the area under the graph of f(x)= x^2 + 3 ...

Calculus-Aproximate Areas - Estimate the area under the graph of f(x)=sin(pix) ...

Calculus-Aproximate Areas - Estimate the area under the graph of f(x)=sin(pix) ...

Calc - Estimate the area under the graph of f(x)= x^2 + 2 x from x=4 to x=10 ...