Explanation The derivative of y = x 3 + 4 x − 5 is y ′ = 3 x 2 + 4 . Suppose the curve y = x 3 + 4 x − 5 has normal line with a slope of − 1 3 , then − 1 3 = − 1 ( 3 x 2 + 4 ) . Now, solve the above equation for x as follows

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Chapter 24.1, Problem 20E

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To show that: The curve y=x3+4x−5 has no normal line with a slope of −13.

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Chapter 24.1, Problem 19E

Chapter 24.1, Problem 21E

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Chapter 24 Solutions

Basic Technical Mathematics

Ch. 24.1 - For the parabola y = 4 − x2, at the point (3, −5)...Ch. 24.1 - Prob. 2PE Ch. 24.1 - Prob. 1E Ch. 24.1 - Prob. 2E Ch. 24.1 - Prob. 3E Ch. 24.1 - Prob. 4E Ch. 24.1 - Prob. 5E Ch. 24.1 - Prob. 6E Ch. 24.1 - Prob. 7E Ch. 24.1 - Prob. 8E

Ch. 24.1 - Prob. 9E Ch. 24.1 - Prob. 10E Ch. 24.1 - Prob. 11E Ch. 24.1 - Prob. 12E Ch. 24.1 - In Exercises 11–14, find the equations of the...Ch. 24.1 - Prob. 14E Ch. 24.1 - Prob. 15E Ch. 24.1 - Prob. 16E Ch. 24.1 - Prob. 17E Ch. 24.1 - Prob. 18E Ch. 24.1 - Prob. 19E Ch. 24.1 - Prob. 20E Ch. 24.1 - Prob. 21E Ch. 24.1 - Where does the normal line to the parabola y = x —...Ch. 24.1 - Prob. 23E Ch. 24.1 - Prob. 24E Ch. 24.1 - A certain suspension cable with supports on the...Ch. 24.1 - Prob. 26E Ch. 24.1 - Prob. 27E Ch. 24.1 - Prob. 28E Ch. 24.1 - Prob. 29E Ch. 24.1 - Prob. 30E Ch. 24.2 - In Example 1, let x1 = 0.3, and find x2. 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To show that: The curve y = x 3 + 4 x − 5 has no normal line with a slope of − 1 3 .

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To show that: The curve y=x3+4x−5 has no normal line with a slope of −13.

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Chapter 24 Solutions