Question 1: Question2: Estimate the total population within 1.2 kilometers of th

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Question 1:

Question2:

Estimate the total population within 1.2 kilometers of this town's center by averaging the left- and right-endpoint approximations of an appropriate definite integral.

Total population (within 1.2 km) is approximately people. (Round to nearest integer.)

       0     0.2     0.4     0.6     0.8     1     1.2          126     103.3     84.3     68.4     53.3     44.4     37   Let M be the average value of f(x) = x^{8} on [0,6]. Find a value of c in [0,6] such that f(c) = M. Find C The population density (in people per square kilometer) in a rural town is a function p(r) of distance r (in kilometers) from the center of this town --- the following table has some values of this population density function. Estimate the total population within 1.2 kilometers of this town's center by averaging the left- and right-endpoint approximations of an appropriate definite integral. Total population (within 1.2 km) is approximately people. (Round to nearest integer.)

Explanation / Answer

Question 1:

f(x)=x^8, [0,6]

M= [f(0)+f(1)+f(2)+f(3)+f(4)+f(5)+f(6)]/7

M= 306085

f(c)=M

f(c)=306085

c^8= 306085

c= 4.85 (approximatelly)

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