A cable that weighs 6 lb/ft is used to lift 700 lb of coal up a mine shaft 600 ft deep. Find the work done. Show how to approximate the required work by a Riemann sum. (Let x be the distance in feet below the top of the shaft. Enter xi* as xi.)

15000000ft-Ib

Step-by-step explanation:

We were told to Show how to approximate the required work by a Riemann sum which is a certain kind of approximation of an integral by a finite sum.

. So we will need to divide the cable into 6 segments,

✓let us denote x as the distance between the top of the mine shaft and the segment.

✓Let us denote ∆x as the length of the segment

Then work done on a segment, work done on the coal and total work done can now be calculated.

CHECK THE ATTACHMENT FOR THE DETAILED EXPLANATION

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.

use this formula:

p(a\b) = p(a and b)/p(b).

take it from here.