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 25E
To determine

To show: At a distance of 2 ft to the right of origin graph of f has height 48 ft but the graph of g has height 265 mi.

Expert Solution

Explanation of Solution

Given:

The graphs of f(x)=x2 and g(x)=2x are drawn at the scale of measurement 1 inch.

Calculation:

Initially convert feet into inches.

Since, 1 feet=12 inches.

2 feet=24 inches

Therefore, the distance to the right of graph of f from the origin is 24inches.

Let y=x2

Substitute the value x=24 in the equation f(x)=x2 ,

f(24)=242=576

The unit measurement implies that f(24)=576 inches .

As 1 feet=12 inches this implies that 576 inches =48 ft .

Let y=2x

Substitute the value x=24 in the equation g(x)=2x ,

g(24)=224=16777216

The unit measurement implies that g(24)=16777216 inches .

As 1 mile = 63360 inches this implies that 16777216 inches =265 miles .

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