EBK BASIC TECHNICAL MATHEMATICS WITH CA
EBK BASIC TECHNICAL MATHEMATICS WITH CA
11th Edition
ISBN: 9780134507095
Author: Evans
Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)
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Question
Chapter 27, Problem 1RE
To determine

Whether the statement “For y=sin32x,dydx=3sin22xcos2x” is true or false.

Expert Solution & Answer
Check Mark

Answer to Problem 1RE

The given statement is false_.

Explanation of Solution

Formula used:

The derivative of sinu is d(sinu)dx=cosududx.

Calculation:

Evaluate the derivative of y=sin32x as follows.

y=sin32xdydx=3(sin22x)(cos2x)(2)dydx=6sin22xcos2x

But, it is given as 3sin22xcos2x.

The extra factor 2 is missing while differentiating.

Therefore, the given statement is false_.

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Chapter 27 Solutions

EBK BASIC TECHNICAL MATHEMATICS WITH CA

Ch. 27.1 - Prob. 9ECh. 27.1 - Prob. 10ECh. 27.1 - Prob. 11ECh. 27.1 - Prob. 12ECh. 27.1 - Prob. 13ECh. 27.1 - Prob. 14ECh. 27.1 - Prob. 15ECh. 27.1 - Prob. 16ECh. 27.1 - Prob. 17ECh. 27.1 - Prob. 18ECh. 27.1 - Prob. 19ECh. 27.1 - Prob. 20ECh. 27.1 - Prob. 21ECh. 27.1 - Prob. 22ECh. 27.1 - Prob. 23ECh. 27.1 - Prob. 24ECh. 27.1 - Prob. 25ECh. 27.1 - In Exercises 3–34, find the derivatives of the...Ch. 27.1 - Prob. 27ECh. 27.1 - Prob. 28ECh. 27.1 - Prob. 29ECh. 27.1 - Prob. 30ECh. 27.1 - Prob. 31ECh. 27.1 - Prob. 32ECh. 27.1 - Prob. 33ECh. 27.1 - Prob. 34ECh. 27.1 - Prob. 35ECh. 27.1 - Prob. 36ECh. 27.1 - Prob. 37ECh. 27.1 - Prob. 38ECh. 27.1 - Prob. 39ECh. 27.1 - Prob. 40ECh. 27.1 - Prob. 41ECh. 27.1 - Prob. 42ECh. 27.1 - Prob. 43ECh. 27.1 - Prob. 44ECh. 27.1 - Prob. 45ECh. 27.1 - Prob. 46ECh. 27.1 - Prob. 47ECh. 27.1 - Prob. 48ECh. 27.1 - Prob. 49ECh. 27.1 - Prob. 50ECh. 27.1 - Prob. 51ECh. 27.1 - Prob. 52ECh. 27.1 - Prob. 53ECh. 27.1 - Prob. 54ECh. 27.1 - The blade of a saber saw moves vertically up and...Ch. 27.1 - Prob. 56ECh. 27.1 - Prob. 57ECh. 27.1 - Prob. 58ECh. 27.1 - Prob. 59ECh. 27.1 - Prob. 60ECh. 27.2 - Prob. 1PECh. 27.2 - Prob. 2PECh. 27.2 - Prob. 1ECh. 27.2 - Prob. 2ECh. 27.2 - Prob. 3ECh. 27.2 - Prob. 4ECh. 27.2 - Prob. 5ECh. 27.2 - Prob. 6ECh. 27.2 - Prob. 7ECh. 27.2 - Prob. 8ECh. 27.2 - Prob. 9ECh. 27.2 - Prob. 10ECh. 27.2 - Prob. 11ECh. 27.2 - Prob. 12ECh. 27.2 - Prob. 13ECh. 27.2 - Prob. 14ECh. 27.2 - Prob. 15ECh. 27.2 - Prob. 16ECh. 27.2 - Prob. 17ECh. 27.2 - Prob. 18ECh. 27.2 - Prob. 19ECh. 27.2 - Prob. 20ECh. 27.2 - Prob. 21ECh. 27.2 - Prob. 22ECh. 27.2 - Prob. 23ECh. 27.2 - Prob. 24ECh. 27.2 - Prob. 25ECh. 27.2 - Prob. 26ECh. 27.2 - Prob. 27ECh. 27.2 - Prob. 28ECh. 27.2 - Prob. 29ECh. 27.2 - Prob. 30ECh. 27.2 - Prob. 31ECh. 27.2 - Prob. 32ECh. 27.2 - Prob. 33ECh. 27.2 - In Exercises 3–34, find the derivatives of the...Ch. 27.2 - Prob. 35ECh. 27.2 - Prob. 36ECh. 27.2 - Prob. 37ECh. 27.2 - Prob. 38ECh. 27.2 - Prob. 39ECh. 27.2 - Prob. 40ECh. 27.2 - Prob. 41ECh. 27.2 - Prob. 42ECh. 27.2 - 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Prob. 33ECh. 27.6 - Prob. 34ECh. 27.6 - Prob. 35ECh. 27.6 - Prob. 36ECh. 27.6 - Prob. 37ECh. 27.6 - Prob. 38ECh. 27.6 - Prob. 39ECh. 27.6 - Prob. 40ECh. 27.6 - Prob. 41ECh. 27.6 - Prob. 42ECh. 27.6 - Prob. 43ECh. 27.6 - Prob. 44ECh. 27.6 - Prob. 45ECh. 27.6 - In Exercises 33–54, solve the given...Ch. 27.6 - Prob. 47ECh. 27.6 - Prob. 48ECh. 27.6 - Prob. 49ECh. 27.6 - Prob. 50ECh. 27.6 - Prob. 51ECh. 27.6 - Prob. 52ECh. 27.6 - Prob. 53ECh. 27.6 - Prob. 54ECh. 27.6 - Prob. 55ECh. 27.6 - Prob. 56ECh. 27.7 - Prob. 1PECh. 27.7 - Prob. 2PECh. 27.7 - Prob. 1ECh. 27.7 - Prob. 2ECh. 27.7 - Prob. 3ECh. 27.7 - Prob. 4ECh. 27.7 - In Exercises 3–36, evaluate each limit (if it...Ch. 27.7 - Prob. 6ECh. 27.7 - Prob. 7ECh. 27.7 - Prob. 8ECh. 27.7 - Prob. 9ECh. 27.7 - Prob. 10ECh. 27.7 - Prob. 11ECh. 27.7 - Prob. 12ECh. 27.7 - Prob. 13ECh. 27.7 - Prob. 14ECh. 27.7 - Prob. 15ECh. 27.7 - Prob. 16ECh. 27.7 - Prob. 17ECh. 27.7 - Prob. 18ECh. 27.7 - Prob. 19ECh. 27.7 - Prob. 20ECh. 27.7 - Prob. 21ECh. 27.7 - Prob. 22ECh. 27.7 - Prob. 23ECh. 27.7 - Prob. 24ECh. 27.7 - Prob. 25ECh. 27.7 - Prob. 26ECh. 27.7 - Prob. 27ECh. 27.7 - Prob. 28ECh. 27.7 - Prob. 29ECh. 27.7 - In Exercises 3–36, evaluate each limit (if it...Ch. 27.7 - Prob. 31ECh. 27.7 - Prob. 32ECh. 27.7 - Prob. 33ECh. 27.7 - Prob. 34ECh. 27.7 - Prob. 35ECh. 27.7 - Prob. 36ECh. 27.7 - Prob. 37ECh. 27.7 - Prob. 38ECh. 27.7 - Prob. 39ECh. 27.7 - Prob. 40ECh. 27.7 - Prob. 41ECh. 27.7 - Prob. 42ECh. 27.7 - Prob. 43ECh. 27.7 - Prob. 44ECh. 27.7 - Prob. 45ECh. 27.7 - Prob. 46ECh. 27.7 - Prob. 47ECh. 27.7 - Prob. 48ECh. 27.8 - Prob. 1PECh. 27.8 - In Exercises 1 and 2, make the given changes in...Ch. 27.8 - Prob. 2ECh. 27.8 - In Exercises 3–14, sketch the graphs of the given...Ch. 27.8 - Prob. 4ECh. 27.8 - In Exercises 3–14, sketch the graphs of the given...Ch. 27.8 - Prob. 6ECh. 27.8 - Prob. 7ECh. 27.8 - Prob. 8ECh. 27.8 - Prob. 9ECh. 27.8 - Prob. 10ECh. 27.8 - Prob. 11ECh. 27.8 - In Exercises 3–14, sketch the graphs of the given...Ch. 27.8 - 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