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In the figure below, the area of region A is 2 and the area of region B is 11. Find LU6) - 2) dz. А. —3 В. З С. 7 D. 11 Е. 15

In the figure below, the area of region A is 2 and the area of region B is 11. Find LU6) - 2) dz. А. —3 В. З С. 7 D. 11 Е. 15

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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7. In the figure below, the area of region A is 2 and the area of region B is 11. Find (f(r) – 2) dr. B А. —3 В. З С. 7 D. 11 Е. 15 8. Use the values of f(x), a continuous function, given in the table below to find a trapezoidal approximation of | f(x) dx with 3 equal subdivisions. 0|1|2|3|4 |5|6|7|8 f(x) 46787 9 5|4|6|7 | 10 A. 39 В. 48 С. 57 D. 66 Е. 78 9. The function g is continuous on [–1,2] and differentiable on (-1,2). If g(-1) = 2 and g(2) = -4, which of the following statements is not necessarily true? A. There exists a value c on (–1,2) such that f(c) = 0. B. There exists a value c on (–1,2) such that f'(c) = 0. C. There exists a value c on (–1,2) such that f(c) = -3. D. There exists a value c on (-1,2) such that f'(c) = -2. E. There exists a value c on [–1,2] such that f(c) > f(x) for all r on [–1, 2).
Transcribed Image Text:7. In the figure below, the area of region A is 2 and the area of region B is 11. Find (f(r) – 2) dr. B А. —3 В. З С. 7 D. 11 Е. 15 8. Use the values of f(x), a continuous function, given in the table below to find a trapezoidal approximation of | f(x) dx with 3 equal subdivisions. 0|1|2|3|4 |5|6|7|8 f(x) 46787 9 5|4|6|7 | 10 A. 39 В. 48 С. 57 D. 66 Е. 78 9. The function g is continuous on [–1,2] and differentiable on (-1,2). If g(-1) = 2 and g(2) = -4, which of the following statements is not necessarily true? A. There exists a value c on (–1,2) such that f(c) = 0. B. There exists a value c on (–1,2) such that f'(c) = 0. C. There exists a value c on (–1,2) such that f(c) = -3. D. There exists a value c on (-1,2) such that f'(c) = -2. E. There exists a value c on [–1,2] such that f(c) > f(x) for all r on [–1, 2).
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