BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2.2, Problem 79E
To determine

To sketch: The graph for the given function.

Expert Solution

Explanation of Solution

Relation between the thickness (T) and radius (r) of the inflated balloon is,

T(r)=(0.5r2)

The value of r is lie between 10 and 100.

Substitute 10 for r in the given function,

T(r)=(0.5r2)=(0.510×10)=(0.005×100)(1m=100cm)T(10)=0.5cm

Substitute 100 for r in the given function,

T(r)=(0.5r2)=(0.5100×100)=(0.00005×100)(1m=100cm)T(100)=0.005cm

The range of thickness and radius lies from (0.005cm) to 100 respectively as shown in below graph.

The graph is,

Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.2, Problem 79E

Figure (1)

Thus, the above graph shows the relation between the thickness (T) and radius (r) of the weather inflated balloon.

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