The pressure difference P between the ends of a small pipe of radius x is given by P = , where k is a non-zero constant real number. Use differentials to determine by approximately what percentage the pressure changes if the radius of the pipe is decreased from 2 to 1.96 units.
A) 20 %
B) -16 %
C) 16 %
D) -8 %
E) 8 %

Question

The pressure difference P between the ends of a small pipe of radius x is given by P =  , where k is a non-zero constant real number. Use differentials to determine by approximately what percentage the pressure changes if the radius of the pipe is decreased from 2 to 1.96 units.
A) 20 % 
B) -16 % 
C) 16 % 
D) -8 % 
E) 8 %

Quizplus · Accepted Answer

The Answer of The pressure difference P between the ends of a small pipe of radius x is given by P =  , where k is a non-zero constant real number. Use differentials to determine by approximately what percentage the pressure changes if the radius of the pipe is decreased from 2 to 1.96 units.
A) 20 % 
B) -16 % 
C) 16 % 
D) -8 % 
E) 8 %

The Pressure Difference P Between the Ends of a Small