Question

Which of the following values would be obtained using 10 circumscribed rectangles of equal width (an upper sum) to estimate

Answer 1

@amistre64 @CausticSyndicalist @dan815 @Compassionate @EclipsedStar @inowalst @sleepyjess @jim_thompson5910

Answer 2

since you need 10 rectangles, each rectangle will have width 1/10.

Answer 3

determine the height of each rectangle. Find the area and then add.

Answer 4

@ksanka so how do i start

Answer 5

1) find the width of each rectangle
2) find the height of each rectangle

Answer 6

since u have rectangles with same width just calculate for one. the width is 0.1

Answer 7

the height of first rectangle is 0.1^2.(draw a graph of y=x^2 to check)

Answer 8

the second.2^2?

Answer 9

the heights will be the following:
1) 0.1^2=0.01
2)0.2^2=0.04
3) 0.3^2=0.09
and so on
the last will have height 1, since 1^2=1

Answer 10

yes u r right. just add them and u will get an answer

Answer 11

do u know how to take integrals? If u take one, which is faster in this case, u will get an answer which has to be a bit smaller than this sum of areas.

Answer 12

the integral from x^2 is x^3 / 3 + Constant. You need to find area between 0 and 1, so substitute 1 to x^3/3 and then subtract 0^3/3 + Constant. You will get 1/3. It is a bit smaller than 0.385, so it the answer.