(A) Evaluate the limit lim >a+ (x – a)ln(2x – 2a), where a is a positive constant. (B) Determine the following statement is true or false. Just write TRUE or FALSE, no explanation is required. (B.1) If f has an absolute minimum at c in the closed interval [a, b], then f' (c) = 0 or f'(c) DNE. 6. has an absolute (B.2) The function f(x) x2 +1 maximum of 6 at x = x + 7 (B.3) Let g(x) The critical numbers of g x + 3 -3 and x –7, x 1. are x 2 x + 7 (B.4) Let g(x) . The x-coordinate of the x + 3 inflection point of g is -3.
(A) Evaluate the limit lim >a+ (x – a)ln(2x – 2a), where a is a positive constant. (B) Determine the following statement is true or false. Just write TRUE or FALSE, no explanation is required. (B.1) If f has an absolute minimum at c in the closed interval [a, b], then f' (c) = 0 or f'(c) DNE. 6. has an absolute (B.2) The function f(x) x2 +1 maximum of 6 at x = x + 7 (B.3) Let g(x) The critical numbers of g x + 3 -3 and x –7, x 1. are x 2 x + 7 (B.4) Let g(x) . The x-coordinate of the x + 3 inflection point of g is -3.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![(A) Evaluate the limit
lim»a+ (x – a)ln(2x – 2a), where a is a
positive constant.
(B) Determine the following statement is true or
false. Just write TRUE or FALSE, no explanation is
required.
(B.1) If f has an absolute minimum at c in the closed
interval [a, b], then f'(c) = 0 or f'(c) DNE.
6.
(B.2) The function f(x)
has an absolute
x² + 1
= 0.
maximum of 6 at x =
x + 7
(B.3) Let g(x)
The critical numbers of g
x + 3
are x = -7, x = –3 and x = 1.
-7,
x + 7
(B.4) Let g(x)
The x-coordinate of the
x + 3
inflection point of g is –3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4baeff9b-ba20-47c8-b428-ed70a925e64e%2Fad2414a4-5199-48e4-9112-a395569270b2%2Fiurt0sy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(A) Evaluate the limit
lim»a+ (x – a)ln(2x – 2a), where a is a
positive constant.
(B) Determine the following statement is true or
false. Just write TRUE or FALSE, no explanation is
required.
(B.1) If f has an absolute minimum at c in the closed
interval [a, b], then f'(c) = 0 or f'(c) DNE.
6.
(B.2) The function f(x)
has an absolute
x² + 1
= 0.
maximum of 6 at x =
x + 7
(B.3) Let g(x)
The critical numbers of g
x + 3
are x = -7, x = –3 and x = 1.
-7,
x + 7
(B.4) Let g(x)
The x-coordinate of the
x + 3
inflection point of g is –3.
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