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 2.3, Problem 50E

(a)

To determine

To sketch: The graph of the function F(x)=350x2 for the values of x between 0 and 10.

Expert Solution

Explanation of Solution

Substitute values 1 to10 for x in the given function F(x)=350x2 and prepare a table as shown below.

x F(x)
1 350
2 87.5
3 38.88
4 21.87
5 14
6 97.22
7 7.142
8 5.468
9 4.320
10 3.50

Use the above table and plot the points x on horizontal axis and the corresponding values of F(x)=350x2 on vertical axis.

Draw the graph as shown below in Figure (1).

Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.3, Problem 50E

Figure (1)

From Figure (1), it is noticed that the value of F(x)=350x2 is decreasing.

(b)

To determine

To explain: The behavior of the gravitational attraction F as the distance x increases.

Expert Solution

Explanation of Solution

From Figure (1), it is clearly visible that the value of F(x)=350x2 decreases as the value of x increases. The function F is inversely proportional to x2 . Therefore, the gravitational attraction decreases as the distance of the spaceship and the moon increases.

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