Question

Use upper and lower sums to approximate the area of the region using the given number of subintervals (of equal width). (Round your answers to three decimal places.)
y = sqrt(6x)

Answer 1

what interval?

what number of intervals?

Answer 2

0 - 1

4 rectangles

Answer 3

oh now we can do it

Answer 4

each base has length \(.25\)
lower endpoints are \(\{0,.25,.5,.75\}\)

Answer 5

so left hand one will be
\[\left(\sqrt{6\times 0}+\sqrt{6\times .25}+\sqrt{6\times .5}+\sqrt{6\times .75}\right)\times .25\]

Answer 6

and a calculator

Answer 7

right hand one is similar, but the \(\sqrt{6\times 0}\) will be gone, and replaced by \(\sqrt{6\times 1}\)