
a.
To approximate the area under the graph of
a.

Answer to Problem 21E
The area of the graph of
Explanation of Solution
Given function
Calculation:
Use a graph utility to compute the area for various rectangles
Thus, the area of the graph of
b.
To approximate the area under the graph of
b.

Answer to Problem 21E
The area of the graphs of
Explanation of Solution
Given functions are
Calculation:
The area underneath the follow curve
Use a graph utility to compute the area for various rectangles
The area underneath the follow curve
Use a graph utility to compute the area for various rectangles
Thus, the area of the graph of
Chapter 13 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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- Find the indefinite integral. Check Answer: 7x 4 + 1x dxarrow_forwardHere is a region R in Quadrant I. y 2.0 T 1.5 1.0 0.5 0.0 + 55 0.0 0.5 1.0 1.5 2.0 X It is bounded by y = x¹/3, y = 1, and x = 0. We want to evaluate this double integral. ONLY ONE order of integration will work. Good luck! The dA =???arrow_forward43–46. Directions of change Consider the following functions f and points P. Sketch the xy-plane showing P and the level curve through P. Indicate (as in Figure 15.52) the directions of maximum increase, maximum decrease, and no change for f. ■ 45. f(x, y) = x² + xy + y² + 7; P(−3, 3)arrow_forward
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