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Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

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BuyFindarrow_forward

Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

In Problems 1-4, approximate the area under each curve over the specified interval by using the indicated number of subintervals (or rectangles) and evaluating the function at the right-hand endpoints of the subintervals. (See Example 1.)

f ( x ) =   4 x   x 2  from  x =   0  to  x =   2 ;   2 subintervals

To determine

To calculate: The area under the curve f(x)=4xx2 from x=0 to x=2 and 2 subintervals where the function is evaluated at right end points of the subintervals.

Explanation

Given Information:

The curve is f(x)=4xx2 from x=0 to x=2 and 2 subintervals and the function is evaluated at right end points of the subintervals.

Formula used:

The base of the rectangles to approximate the area is ban where the function is defined on [b,a].

The height of the rectangles is the value of the function calculated at the right end point of the interval containing the base.

The area A of a rectangle is A=base×height.

The approximated area under the curve is sum of the areas of each rectangle.

Calculation:

Consider the curve f(x)=4xx2 from x=0 to x=2 and 2 subintervals where the function is evaluated at right end points of the subintervals.

The base of the rectangles to approximate the area is ban where the function is defined on [a,b].

Since, curve is defined from x=0 to x=2.

Thus,

base=202=1

Thus, the 2 subintervals, of length 1 are [0,1] and [1,2]

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Chapter 13 Solutions

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Sect-13.1 P-9ESect-13.1 P-10ESect-13.1 P-11ESect-13.1 P-12ESect-13.1 P-13ESect-13.1 P-14ESect-13.1 P-15ESect-13.1 P-16ESect-13.1 P-17ESect-13.1 P-18ESect-13.1 P-19ESect-13.1 P-20ESect-13.1 P-21ESect-13.1 P-22ESect-13.1 P-23ESect-13.1 P-24ESect-13.1 P-25ESect-13.1 P-26ESect-13.1 P-27ESect-13.1 P-28ESect-13.1 P-29ESect-13.1 P-30ESect-13.1 P-31ESect-13.1 P-32ESect-13.1 P-33ESect-13.1 P-34ESect-13.1 P-35ESect-13.1 P-36ESect-13.1 P-37ESect-13.1 P-38ESect-13.1 P-39ESect-13.1 P-40ESect-13.2 P-1CPSect-13.2 P-2CPSect-13.2 P-1ESect-13.2 P-2ESect-13.2 P-3ESect-13.2 P-4ESect-13.2 P-5ESect-13.2 P-6ESect-13.2 P-9ESect-13.2 P-10ESect-13.2 P-11ESect-13.2 P-12ESect-13.2 P-7ESect-13.2 P-8ESect-13.2 P-23ESect-13.2 P-24ESect-13.2 P-13ESect-13.2 P-14ESect-13.2 P-15ESect-13.2 P-16ESect-13.2 P-17ESect-13.2 P-18ESect-13.2 P-19ESect-13.2 P-20ESect-13.2 P-21ESect-13.2 P-22ESect-13.2 P-25ESect-13.2 P-26ESect-13.2 P-27ESect-13.2 P-28ESect-13.2 P-29ESect-13.2 P-30ESect-13.2 P-31ESect-13.2 P-32ESect-13.2 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