Question

The widths (in meters) of a kidney-shaped swimming pool were measured at 3-meter intervals as indicated in the figure. Use the Midpoint Rule with n = 4 to estimate the area S of the pool if a1 = 9.3, a2 = 10.8, a3 = 10.2, a4 = 8.4, a5 = 7.5, a6 = 7.2, and a7 = 7.2.

Answer 1

\[\Delta x=\frac{7.2-9.3}{4}=-.525\]
this doesn't seem right to me

Answer 2

if psble take a screenshot of actual question/diagram and attach

Answer 3

can do

Answer 4

Notice that the widths of swimming pool were measured in 3-meter intervals

Answer 5

yeah

Answer 6

So from left to right, the length of swimming pool would be : 3x8 = 24m

Answer 7

for n=4, you need to divide 24 by 4 :

\[\large \Delta x = \dfrac{24}{4} = 6\]

Answer 8

and the midpoint values are : a_1, a_3, a_5, a_7

Answer 9

so 6(9.3+10.2+7.5+7.2)

Answer 10

Looks good !