Calculus
5th Edition
ISBN: 9781429241861
Author: Laura Taalman, Peter Kohn
Publisher: W. H. Freeman
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Chapter 3.4, Problem 53A
(a)
To determine
The way in which the cut should be made so that the combined area of two shapes is as small as possible
(b)
To determine
The way in which the cut should be made so that the combined area of two shapes is as large as possible
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A graph of the function f is given below:
Study the graph of ƒ at the value given below. Select each of the following that applies for the value a = 1
Of is defined at a.
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and lim
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are infinite.
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The graph below is the function f(z)
4
3
-2
-1
-1
1
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-3
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lim f(z)
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f(1)
= 2
=
-4
= undefined
lim f(z) 1
2-1
lim f(z):
2-1+
lim f(x)
2+1
-00
= -2
= DNE
f(-1) = -2
lim f(z) = -2
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f'(2)
=
=
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Right-continuous at z =
Invalid use of a comma.syntax incomplete.
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f is defined at = a.
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If is continuous at x = a.
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Of is smooth at x = a.
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If has a horizontal tangent line at x = a.
f has a vertical tangent line at x = a.
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f(a + h) − f(a)
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h→0
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h→0
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lim
does not exist.
h→0
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f'(a) is defined.
f'(a) is undefined.
If is differentiable at x = a.
If is not differentiable at x = a.
Chapter 3 Solutions
Calculus
Ch. 3.1 - Prob. 1TBCh. 3.1 - Prob. 0CCh. 3.1 - Prob. 1CCh. 3.1 - Prob. 2CCh. 3.1 - Prob. 3CCh. 3.1 - Prob. 4CCh. 3.1 - Prob. 5CCh. 3.1 - Prob. 6CCh. 3.1 - Prob. 7CCh. 3.1 - Prob. 8C
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Publisher:McGraw Hill
Solve ANY Optimization Problem in 5 Steps w/ Examples. What are they and How do you solve them?; Author: Ace Tutors;https://www.youtube.com/watch?v=BfOSKc_sncg;License: Standard YouTube License, CC-BY
Types of solution in LPP|Basic|Multiple solution|Unbounded|Infeasible|GTU|Special case of LP problem; Author: Mechanical Engineering Management;https://www.youtube.com/watch?v=F-D2WICq8Sk;License: Standard YouTube License, CC-BY
Optimization Problems in Calculus; Author: Professor Dave Explains;https://www.youtube.com/watch?v=q1U6AmIa_uQ;License: Standard YouTube License, CC-BY
Introduction to Optimization; Author: Math with Dr. Claire;https://www.youtube.com/watch?v=YLzgYm2tN8E;License: Standard YouTube License, CC-BY