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)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter6: Rates Of Change
Section6.1: Velocity
Problem 12SBE
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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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