Answer:
Step-by-step explanation:
a)
Let x unit length of rope
Riemann sum
Weight = 0.3x
work done = 0.3xdx
The required region is 0<x<60
Thus, the required work is
b)
Let x unit length of rope from bottom
The Riemann sum in two parts.
First half weight is = 0.3x
The second half weight is = (0.3)(60 - x)
Thus, the Riemann sum is
The first weight is 0.3x when 0<x<30.
The second half weight is = 0.3(60-x) when 30<x<60
Thus, the work done is
Consider,