Calculus: Early Transcendentals, Loose-leaf Version, 9th
9th Edition
ISBN: 9780357022290
Author: Stewart
Publisher: Cengage Learning Acquisitions
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Chapter D, Problem 78E
To determine
In triangle
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Is the function f(x) continuous at x = 1?
(x)
7
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1
0
-10 -9
-8 -7
-6
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-1 0
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-1
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Select the correct answer below:
The function f(x) is continuous at x = 1.
The right limit does not equal the left limit. Therefore, the function is not continuous.
The function f(x) is discontinuous at x = 1.
We cannot tell if the function is continuous or discontinuous.
Question
Is the function f(x) shown in the graph below continuous at x = -5?
f(z)
7
6
5
4
2
1
0
-10
-6 -5
-4
1
0
2
3
5
7
10
-1
-2
-3
-4
-5
Select the correct answer below:
The function f(x) is continuous.
The right limit exists. Therefore, the function is continuous.
The left limit exists. Therefore, the function is continuous.
The function f(x) is discontinuous.
We cannot tell if the function is continuous or discontinuous.
The graph of f(x) is given below. Select all of the true statements about the continuity of f(x) at x = -1.
654
-2-
-7-6-5-4-
2-1
1 2
5 6 7
02.
Select all that apply:
☐ f(x) is not continuous at x = -1 because f(-1) is not defined.
☐ f(x) is not continuous at x = −1 because lim f(x) does not exist.
x-1
☐ f(x) is not continuous at x = −1 because lim ƒ(x) ‡ ƒ(−1).
☐ f(x) is continuous at x = -1
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Chapter D Solutions
Calculus: Early Transcendentals, Loose-leaf Version, 9th
Ch. D - Prob. 1ECh. D - Convert from degrees to radians. 2. 300Ch. D - Prob. 3ECh. D - Prob. 4ECh. D - Convert from degrees to radians. 5. 900Ch. D - Prob. 6ECh. D - Prob. 7ECh. D - Prob. 8ECh. D - Prob. 9ECh. D - Prob. 10E
Ch. D - Prob. 11ECh. D - Prob. 12ECh. D - Prob. 13ECh. D - Prob. 14ECh. D - A circle has radius 1.5 m. What angle is subtended...Ch. D - Find the radius of a circular sector with angle...Ch. D - Prob. 17ECh. D - Prob. 18ECh. D - Draw, in standard position, the angle whose...Ch. D - Prob. 20ECh. D - Prob. 21ECh. D - Prob. 22ECh. D - Find the exact trigonometric ratios for the angle...Ch. D - Prob. 24ECh. D - Prob. 25ECh. D - Find the exact trigonometric ratios for the angle...Ch. D - Prob. 27ECh. D - Prob. 28ECh. D - Prob. 29ECh. D - Prob. 30ECh. D - Prob. 31ECh. D - Find the remaining trigonometric ratios. 32....Ch. D - Prob. 33ECh. D - Prob. 34ECh. D - Prob. 35ECh. D - Prob. 36ECh. D - Prob. 37ECh. D - Prob. 38ECh. D - Prob. 39ECh. D - Prob. 40ECh. D - Prob. 41ECh. D - Prob. 42ECh. D - Prob. 43ECh. D - Prove the identity. 44. sin(x)=sinxCh. D - Prob. 45ECh. D - Prob. 46ECh. D - Prob. 47ECh. D - Prob. 48ECh. D - Prob. 49ECh. D - Prob. 50ECh. D - Prob. 51ECh. D - Prob. 52ECh. D - Prob. 53ECh. D - Prob. 54ECh. D - Prob. 55ECh. D - Prob. 56ECh. D - Prob. 57ECh. D - Prob. 58ECh. D - If sinx=13 and secy=54 , where x and y lie between...Ch. D - Prob. 60ECh. D - Prob. 61ECh. D - If sinx=13 and secy=54 , where x and y lie between...Ch. D - Prob. 63ECh. D - Prob. 64ECh. D - Prob. 65ECh. D - Prob. 66ECh. D - Find all values of x in the interval [0,2] that...Ch. D - Prob. 68ECh. D - Prob. 69ECh. D - Prob. 70ECh. D - Prob. 71ECh. D - Prob. 72ECh. D - Prob. 73ECh. D - Prob. 74ECh. D - Prob. 75ECh. D - Prob. 76ECh. D - Prob. 77ECh. D - Prob. 78ECh. D - Prob. 79ECh. D - Prob. 80ECh. D - Prob. 81ECh. D - Prob. 82ECh. D - Prob. 83ECh. D - Prob. 84ECh. D - Prob. 85ECh. D - Prob. 86ECh. D - Prob. 87ECh. D - Prob. 88E
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