PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
8th Edition
ISBN: 9781337904285
Author: Larson
Publisher: CENGAGE L
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Question
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Chapter 9.5, Problem 79E

a.

To determine

To find: The polar equations that models the possible positions of a passenger car.

a.

Expert Solution
Check Mark

Answer to Problem 79E

  r=30

Explanation of Solution

Given information:

The passengers enter a car at (30,π2)

Since the passenger enters the car at r=30 , which is the directed distance from the pole (center),

Therefore, the polar equation will be:

  r=30

which represents a circle with radius = 30 ft

b.

To determine

To find: The coordinate after 15 seconds of rotation.

b.

Expert Solution
Check Mark

Answer to Problem 79E

  (30,5π6)

Explanation of Solution

Given information:

The time of rotation is 15 seconds.

Starting from the bottom (30,π2) i.e. (30,3π2)

The Ferris wheel will rotate at an angle of θ

  θ=15s45s(2π)

  θ=2π3

So, therefore the position’s angle in standard position is:

  θ1=3π22π3

  θ1=5π6

Therefore, the coordinate will be:

  (30,5π6)

c.

To determine

To find: To convert the point obtained in (b) into rectangular coordinates.

c.

Expert Solution
Check Mark

Answer to Problem 79E

  (25.98,15)

Explanation of Solution

Given information:

The polar coordinate is (30,5π6)

We know that,

  x=rcos(θ)

  x=30cos(5π6)

  x=30×(0.866)

  x=25.98

  y=rsin(θ)

  y=30sin(5π6)

  y=30×0.5

  y=15

Therefore, the rectangular coordinate is (x,y) :

i.e. (25.98,15)

This means that the car is 25.98 feet to the left of the center and 15 feet above the center since the center corresponds to the origin.

Chapter 9 Solutions

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

Ch. 9.1 - Prob. 11ECh. 9.1 - Prob. 12ECh. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - Prob. 16ECh. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - Prob. 21ECh. 9.1 - Prob. 22ECh. 9.1 - Prob. 23ECh. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - Prob. 29ECh. 9.1 - Prob. 30ECh. 9.1 - Prob. 31ECh. 9.1 - Prob. 32ECh. 9.1 - Prob. 33ECh. 9.1 - Prob. 34ECh. 9.1 - Prob. 35ECh. 9.1 - Prob. 36ECh. 9.1 - Prob. 37ECh. 9.1 - Prob. 38ECh. 9.1 - Prob. 39ECh. 9.1 - Prob. 40ECh. 9.1 - Prob. 41ECh. 9.1 - Prob. 42ECh. 9.1 - Prob. 43ECh. 9.1 - Prob. 44ECh. 9.1 - Prob. 45ECh. 9.1 - Prob. 46ECh. 9.1 - Prob. 47ECh. 9.1 - Prob. 48ECh. 9.1 - Prob. 49ECh. 9.1 - Prob. 50ECh. 9.1 - Prob. 51ECh. 9.1 - Prob. 52ECh. 9.1 - Prob. 53ECh. 9.1 - Prob. 54ECh. 9.1 - Prob. 55ECh. 9.1 - Prob. 56ECh. 9.1 - Prob. 57ECh. 9.1 - Prob. 58ECh. 9.1 - Prob. 59ECh. 9.1 - Prob. 60ECh. 9.1 - Prob. 61ECh. 9.1 - Prob. 62ECh. 9.1 - Prob. 63ECh. 9.1 - 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Prob. 24CTCh. 9 - Prob. 25CTCh. 9 - Prob. 1STPCh. 9 - Prob. 2STPCh. 9 - Prob. 3STPCh. 9 - Prob. 4STPCh. 9 - Prob. 5STPCh. 9 - Prob. 6STPCh. 9 - Prob. 7STPCh. 9 - Prob. 8STPCh. 9 - Prob. 9STPCh. 9 - Prob. 10STPCh. 9 - Prob. 11STPCh. 9 - Prob. 12STPCh. 9 - Prob. 13STPCh. 9 - Prob. 14STPCh. 9 - Prob. 15STPCh. 9 - Prob. 16STPCh. 9 - Prob. 17STPCh. 9 - Prob. 18STPCh. 9 - Prob. 19STPCh. 9 - Prob. 20STPCh. 9 - Prob. 21STPCh. 9 - Prob. 22STPCh. 9 - Prob. 23STPCh. 9 - Prob. 24STPCh. 9 - Prob. 25STPCh. 9 - Prob. 26STPCh. 9 - Prob. 27STP
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