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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336

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Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336
Textbook Problem

Suppose the graphs of f(x) = x2and g(x) = 2x are drawn on a coordinate grid where the unit of measurement is 1 inch. Show that, at a distance 2 ft to the right of the origin, the height of the graph of f is 48 ft but the height of the graph of g is about 265 mi.

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.

Explanation

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

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