Solve the problem.The function f(x) = ?x2 describes the area of a circle, f(x), in square meters, whose radius measures x meters. If x is changing,(i) Find the average rate of change of the area with respect to the radius as the radius changes from 8 meters to 8.1 meters.(ii) Find the average rate of change of the area with respect to the radius as the radius changes from 8 meters to 8.01 meters.(iii) Find the instantaneous rate of change of the area with respect to the radius at the moment when the radius is 8 meters.Express all answers in terms of ?.
A. (i) 1296.1? square meters per meter;
(ii) 12,816.01? square meters per meter;
(iii) 16? square meters per meter
B. (i) 1296.1? square meters per meter;
(ii) 12,816.01? square meters per meter;
(iii) 32? square meters per meter
C. (i) 16.1? square meters per meter;
(ii) 16.01? square meters per meter;
(iii) 16? square meters per meter
D. (i) 16.1? square meters per meter;
(ii) 16.01? square meters per meter;
(iii) 32? square meters per meter
Answer: C
You might also like to view...
Find the partial fraction decomposition for the rational expression.
A. 
+ 
B. 1 + 
+ 
C. 1 + 
+ 
D. 
+ 
What is the resistance of a circuit having a conductance of 11.7 ð 10-6 S?
a. 8.55 ohms b. 855 ohms c. 85.5 kohms d. 11.7 kohms e. 11.7 megohms
Solve. Write the answer in simplest form.The circle graph below shows the fractional part of the Suarez family's budget spent in each category each month.
If the Suarez's income last month was $2500, how much money did they spend on their medical needs? Round to the nearest cent, if necessary.
A. $25.00 B. $450.00 C. $113.64 D. $166.67
Write the whole number in word form.3,800,399
A. three million, eighty thousand, three hundred ninety-nine B. three million, eight hundred thousand, three hundred ninety-nine C. thirty-eight thousand, three hundred ninety-nine D. three million, eight thousand, three hundred ninety-nine