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 1.11, Problem 30E

(A)

To determine

To find:

The equation given that the statement

Expert Solution

Answer to Problem 30E

The equation is T=kx

Explanation of Solution

Given:

  T varies directly as x

Concept used:

If the quantities x and y are related by an equation

  y=kx

For some constant k0

That is y varies directly as x or y is directly proportional to x

The constant k is called constant proportionality

Calculation:

If the quantities P and l are related by an equation

  Pαl

  P=kl................(1)

For some constant k0

That is P varies directly as l or P is directly proportional to l

The constant k is called constant proportionality

Where P is the period of a pendulum

  l is the length of the pendulum

(B)

To determine

To find:

The equation of double the period that the statement

Expert Solution

Answer to Problem 30E

The equation is l2=4l1

Explanation of Solution

Given:

  P is directly proportional to l

Concept used:

If the quantities x and y are related by an equation

  y=kx

For some constant k0

That is y varies directly as x or y is directly proportional to x

The constant k is called constant proportionality

Calculation:

If the quantities P and l are related by an equation

  Pαl

  P=kl................(1)

For some constant k0

That is P varies directly as l or P is directly proportional to l

The constant k is called constant proportionality

Where P is the period of a pendulum

  l is the length of the pendulum

That is

  P2=2P1...........................(2)

  kl2=2kl1l2=2l1l2=4l1

The new length has to quadruple the first length

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