(a) To determine To calculate: The area of the graph f ( x ) = 4 − x 2 above the x -axis in the given interval [ − 2 , 2 ] use two rectangles. Explanation Given: Approximate area under the curve and above the x -axis on the provided interval. Use rectangles whose height is the value of the function at the left side of the rectangle. Here, number of rectangles is 2, f ( x ) = 4 − x 2 ; [ − 2 , 2 ] . Calculation: Consider the function, f ( x ) = 4 − x 2 The tabular form of the function for the graph is: x − 2 − 1 1 2 f ( x ) = 4 − x 2 0 3 3 0 Therefore, the graph of the function is, (b) To determine To calculate: The area of the graph f ( x ) = 4 − x 2 above the x -axis in the given interval [ − 2 , 2 ] uses four rectangles. (c) To determine To calculate: The area of the graph f ( x ) = 4 − x 2 above the x -axis in the given interval [ − 2 , 2 ] using graphing utility for 40 rectangles.

Mathematics with Applications and Mylab Math with Pearson EText -- Title-Specific Access Card Package

12th Edition

ISBN: 9780134862668

Author: Lial, Margaret L.

Publisher: Pearson Education Canada

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Chapter 13.4, Problem 9E

(a)

To determine

To calculate: The area of the graph f(x)=4−x2 above the x-axis in the given interval [−2,2] use two rectangles.

(b)

To determine

To calculate: The area of the graph f(x)=4−x2 above the x-axis in the given interval [−2,2] uses four rectangles.

(c)

To determine

To calculate: The area of the graph f(x)=4−x2 above the x-axis in the given interval [−2,2] using graphing utility for 40 rectangles.

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Chapter 13.4, Problem 8E

Chapter 13.4, Problem 10E

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Mathematics with Applications and Mylab Math with Pearson EText -- Title-Specific Access Card Package

Ch. 13.1 - Checkpoint 1 Find an antiderivative for each of...Ch. 13.1 - Checkpoint 2 Find each of the...Ch. 13.1 - Prob. 3CP Ch. 13.1 - Prob. 4CP Ch. 13.1 - Prob. 5CP Ch. 13.1 - Prob. 6CP Ch. 13.1 - Prob. 7CP Ch. 13.1 - Checkpoint 8 The marginal cost at a level of...Ch. 13.1 - 1. What must be true of F(x) and G(x) if both are...Ch. 13.1 - 2. How is the antiderivative of a function related...

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