consider the differential equation dy/dx=sinx/y, for which the solution is y=f(x). Let f(0)=1. Which of the following statements about the graph of f(x) are true? 1. f(x) has a vertical tangent when y=o 2. f(x) has a horizontal tangent when x=0 3. the slope of f(x) at the point (0,1) is 1.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
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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consider the differential equation dy/dx=sinx/y, for which the solution is y=f(x). Let f(0)=1. Which of the following statements about the graph of f(x) are true?

1. f(x) has a vertical tangent when y=o

2. f(x) has a horizontal tangent when x=0

3. the slope of f(x) at the point (0,1) is 1.

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