Slopes, Tangents, and Normals In Exercises 31–40, verify that the given point is on the curve and find the lines that are (a) tangent and (b) normal to the curve at the given point. 32. х2 + у2 %3D 25, (3, —4) 38. x sin 2y %3D у cos 2x, (п/4, п/2) 40. х2 сos? y — sin y %3D 0, (0, п) sin y = 0, (0, TT)

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Slopes, Tangents, and Normals
In Exercises 31–40, verify that the given point is on the curve and find
the lines that are (a) tangent and (b) normal to the curve at the given
point.
32. х2 + у? %3D 25, (3, —4)
38. x sin 2y %3D у cos 2x, (п/4, п /2)
40. х2 сos? y — sin y %3D 0, (0, т)
Transcribed Image Text:Slopes, Tangents, and Normals In Exercises 31–40, verify that the given point is on the curve and find the lines that are (a) tangent and (b) normal to the curve at the given point. 32. х2 + у? %3D 25, (3, —4) 38. x sin 2y %3D у cos 2x, (п/4, п /2) 40. х2 сos? y — sin y %3D 0, (0, т)
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