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)

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)

zzr0ck3r · Answer

what interval?

what number of intervals?

anonymous · Answer

0 - 1

4 rectangles

anonymous · Answer

oh now we can do it

anonymous · Answer

|dw:1442368683975:dw|

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

and a calculator

anonymous · Answer

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