BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 3.1, Problem 72E
To determine

To draw: A diagram showing two perpendicular tangent lines to the parabola that intersect on the y-axis.

Expert Solution

Answer to Problem 72E

The two perpendicular tangent lines to the parabola that intersect on the y-axis at the point (0,14)

Explanation of Solution

Given:

The parabola is y=x2.

Graph:

First, draw the graph of the given parabolic curve y=x2.

Then, draw two perpendicular tangent lines to the parabola that intersects on the y-axis as shown in Figure 1.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 3.1, Problem 72E

From Figure 1, it is observed that the two lines y=x14and y=x14 are the tangent to the curve y=x2 intersect on y-axis at the point (0,14).

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