NEED A SOLUTION PLEASE!!! A fireman is holding one end of a rope at the top of a building that is 100 ft high. The rope weighs 1 lb/ft and is 200 ft long. Note that 100 ft of the rope is just lying on the ground freely. What is the total amount of work done in pulling all of the rope up to the top of the building? 15,000 ft-lb.

Hint: The total amount of work is the sum of two definite integrals - one for the first 100 ft of the rope, and another one for the last 100 ft of the rope. Note that for the last 100 ft of the rope, each differential segment has to traverse a distance of 100 ft.

answer is more than one

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is