Chapter 13.5, Problem 3E

a.

To determine

To draw: the rectangles to find the lower estimate and upper estimate for the area under the curve.

Explanation of Solution

Given information:

The graph provided in the question,

  

Graph: to draw the rectangle for lower estimate, makes the rectangles under the curve,

Thus the rectangles can be obtained as:

  

To draw the rectangle for upper estimate, makes the rectangles under the curve,

Thus the rectangles can be obtained as:

  

Interpretation: from the above rectangles it can be observed that the lower estimate is $40$ and upper estimate is $52$ .

b.

To determine

To find: the new estimates using ten rectangles.

Answer to Problem 3E

The new estimates are $43.2\text{ and }49.2$ .

Explanation of Solution

Given information:

The graph provided in the question,

  

Calculation: to find the new estimates, draw the ten rectangles in the above part rectangles

Thus, the new estimates are $43.2\text{ and }49.2$ .