Acat scan produces equally spaced cross-sectional views of a human organ that provide information about the organ otherwise obtained only by surgery. suppose that a cat scan of a human liver shows cross-sections spaced 1.5 cm apart. the liver is 15 cm long and the cross-sectional areas, in square centimeters, are 0, 18, 59, 78, 93, 105, 118, 128, 63, 38, and 0. use the midpoint rule with n = 5 to estimate the volume v of the liver.

Step-by-step explanation:

You are given this data:

First, calculate the x points by dividing the total length in 5:

x=3,6,9,12,15

Now you calculate the half point of the x axis intervals you just calculated:

and find the function values of each of them (the Area for each cut):

A(1.5) = 18

A(4.5)=78

A(7.5)=105

A(10.5)=128

A(13.5)=38

Now you have formed the rectangles (see diagram below).

To calculate the volume, just use the next equation given by the midpoint rule:

26

step-by-step explanation:

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.