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 1.5, Problem 18E

(a)

To determine

To find: The equation of the graph that is obtained from the graph of y=ex and is reflected about the line y=4 .

Expert Solution

Answer to Problem 18E

The equation of the graph is y=ex+8 .

Explanation of Solution

Start with the equation y=ex .

The reflection of the graph of y=ex about the x-axis is y=ex .

The graph y=ex has y-intercept at y=1 .

So, its reflection will pass through y=1 .

To reflect the graph about the line y=4 add 8 to both sides so, the reflected graph will pass through y=4 .

Thus, the equation of the resultant graph is y=ex+8 .

(b)

To determine

To find: The equation of the graph that is obtained from the graph of y=ex and is reflected about the line x=2 .

Expert Solution

Answer to Problem 18E

The equation of the graph is y=ex+4 .

Explanation of Solution

Start with the equation y=ex .

The reflection of the graph of y=ex about y-axis is y=ex .

When the function y=ex is drawn then the vertical asymptote is zero.

In order to set x=2 in the centre of the graph of these two functions, add 4 units from the origin of x-axis in the rightward direction.

Thus, the equation of the resultant graph is y=ex+4 .

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!