A heavy rope, 60 ft long, weighs 0.3 lb/ft and hangs over the edge of a building 130 ft high. (Let x be the distance in feet below the top of the building. Enter xi* as xi.) (a) How much work W is done in pulling the rope to the top of the building? Show how to approximate the required work by a Riemann sum. lim n→[infinity] n Δx i = 1 Express the work as an integral. 0 dx Evaluate the integral. ft-lb (b) How much work W is done in pulling half the rope to the top of the building? Show how to approximate the required work by a Riemann sum. lim n→[infinity] n Δx i = 1 Express the work as an integral. 0 dx Evaluate the integral. ft-lb

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,

answer: the 4 kilogram bag

step-by-step explanation: this is because if you divide the number of kilograms into the total it will tell you how much each individual kilogram would be worth. 2 kilos is 7 and change 3 would be around 6 ish and the 4 kilo would be 4.6 and change and the 5 kilos would be like 4.88

the answer is b.)

< 1=< 2