a. Answer y = − 6.5 cos ( π 6 t ) + 10 where t = 0 represents midnight. Explanation Given information: The low tide occurs at midnight and is at 3.5 feet. After 6 hours high tide occurs which is at 16.5 feet. Calculation: As per the given information − The low tide occurs at midnight and is at 3.5 feet. After 6 hours high tide occurs which is at 16.5 feet. Step 1: Find the maximum and minimum value. Here, maximum value is 16.5 and minimum value is 3.5 . Step 2: Identify the vertical shift k . The value of k is the mean of maximum and minimum value, i.e. k = 16.5 + 3.5 2 = 10 Step 3: Find the amplitude and period. Function goes from minimum to maximum in 6 hours and then again maximum to minimum in next 6 hours. So, period would be 12 hours. i .e . 12 = 2 π b ⇒ b = π 6 Also at t = 0 , function would be at its minimum value. So, cosine function reflected across x − axis can be taken as model. | a | = Maximum value − Minimum value 2 = 16.5 − 3.5 2 = 6.5 Since graph is a reflection, a > 0 ⇒ a = − 6.5 Step 5 : The function graph would be given as − y = − 6.5 cos ( π 6 t ) + 10 Hence, desired model function is y = − 6.5 cos ( π 6 t ) + 10 where t = 0 represents midnight. b. To determine To find: All the time when low and high tide occurs in 24 hour period. Answer Low tide occurs at midnight, 12 noon and again at midnight. Similarly, high tide occurs at 6 AM, 6 PM. Explanation Given information: Same as part a of this exercise. Calculation: From part a of this exercise the model function would be given as − y = − 6.5 cos ( π 6 t ) + 10 where t = 0 represents midnight. Below is the function graph for a 24 hour period. From above graph it can be observed that low tide occurs at midnight, 12 noon and again at midnight. Similarly, high tide occurs at 6 AM, 6 PM. c. To determine To find: The relationship between graph from part b and graph of tide depth t hours after 3 : 00 AM. Explanation Given information: Same as part a of this exercise. Calculation: From part a of this exercise the model function would be given as − y = − 6.5 cos ( π 6 t ) + 10 where t = 0 represents midnight. Below is the function graph for a 24 hour period. When t = 0 is at 3 : 00 AM. Tide depth is halfway through maximum. So, a sine function can be modeled. y = 6.5 sin ( π 6 t ) + 10 where t = 0 represents 3 : 00 AM.

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

1st Edition

ISBN: 9781680331165

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

See similar textbooks

Videos

Question

Chapter 9.6, Problem 31E

To determine

To find: A sinusoidal model for the tide depth $d$ (in feet) as a function of time $t$ (in hours).

Expert Solution

Answer to Problem 31E

$y=−6.5cos(π6t)+10$ where $t=0$ represents midnight.

Explanation of Solution

Given information:

The low tide occurs at midnight and is at $3.5$ feet. After $6$ hours high tide occurs which is at $16.5$ feet.

Calculation:

As per the given information −

The low tide occurs at midnight and is at $3.5$ feet. After $6$ hours high tide occurs which is at $16.5$ feet.

Step 1: Find the maximum and minimum value.

Here, maximum value is $16.5$ and minimum value is $3.5$ .

Step 2: Identify the vertical shift $k$ .

The value of $k$ is the mean of maximum and minimum value, i.e.

$k=16.5+3.52=10$

Step 3: Find the amplitude and period.

Function goes from minimum to maximum in $6$ hours and then again maximum to minimum in next $6$ hours. So, period would be $12$ hours.

$i.e. 12=2πb⇒b=π6$

Also at $t=0$ , function would be at its minimum value. So, cosine function reflected across $x−$ axis can be taken as model.

$|a|=Maximum value−Minimum value2=16.5−3.52=6.5Since graph is a reflection, a>0⇒a=−6.5$

Step $5$ : The function graph would be given as −

$y=−6.5cos(π6t)+10$

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 9.6, Problem 31E , additional homework tip 1

Hence, desired model function is $y=−6.5cos(π6t)+10$ where $t=0$ represents midnight.

To determine

To find: All the time when low and high tide occurs in $24$ hour period.

Expert Solution

Answer to Problem 31E

Low tide occurs at midnight, $12$ noon and again at midnight.

Similarly, high tide occurs at $6$ AM, $6$ PM.

Explanation of Solution

Given information:

Same as part $a$ of this exercise.

Calculation:

From part $a$ of this exercise the model function would be given as −

$y=−6.5cos(π6t)+10$ where $t=0$ represents midnight.

Below is the function graph for a $24$ hour period.

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 9.6, Problem 31E , additional homework tip 2

From above graph it can be observed that low tide occurs at midnight, $12$ noon and again at midnight.

Similarly, high tide occurs at $6$ AM, $6$ PM.

To determine

To find: The relationship between graph from part $b$ and graph of tide depth $t$ hours after $3:00$ AM.

Expert Solution

Explanation of Solution

Given information:

Same as part $a$ of this exercise.

Calculation:

From part $a$ of this exercise the model function would be given as −

$y=−6.5cos(π6t)+10$ where $t=0$ represents midnight.

Below is the function graph for a $24$ hour period.

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 9.6, Problem 31E , additional homework tip 3

When $t=0$ is at $3:00$ AM. Tide depth is halfway through maximum. So, a sine function can be modeled.

$y=6.5sin(π6t)+10$ where $t=0$ represents $3:00$ AM.

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 9.6, Problem 31E , additional homework tip 4

Chapter 9.6, Problem 30E

Chapter 9.6, Problem 32E

Chapter 9 Solutions

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E Ch. 9.1 - Prob. 10E

Ch. 9.1 - Prob. 11E Ch. 9.1 - Prob. 12E Ch. 9.1 - Prob. 13E Ch. 9.1 - Prob. 14E Ch. 9.1 - Prob. 15E Ch. 9.1 - Prob. 16E Ch. 9.1 - Prob. 17E Ch. 9.1 - Prob. 18E Ch. 9.1 - Prob. 19E Ch. 9.1 - Prob. 20E Ch. 9.1 - Prob. 21E Ch. 9.1 - Prob. 22E Ch. 9.1 - Prob. 23E Ch. 9.1 - Prob. 24E Ch. 9.1 - Prob. 25E Ch. 9.1 - Prob. 26E Ch. 9.1 - Prob. 27E Ch. 9.1 - Prob. 28E Ch. 9.1 - Prob. 29E Ch. 9.1 - Prob. 30E Ch. 9.1 - Prob. 31E Ch. 9.1 - Prob. 32E Ch. 9.1 - Prob. 33E Ch. 9.1 - Prob. 34E Ch. 9.1 - Prob. 35E Ch. 9.1 - Prob. 36E Ch. 9.1 - Prob. 37E Ch. 9.1 - Prob. 38E Ch. 9.1 - Prob. 39E Ch. 9.1 - Prob. 40E Ch. 9.1 - Prob. 41E Ch. 9.1 - Prob. 42E Ch. 9.1 - Prob. 43E Ch. 9.1 - Prob. 44E Ch. 9.1 - Prob. 45E Ch. 9.1 - Prob. 46E Ch. 9.1 - Prob. 47E Ch. 9.1 - Prob. 48E Ch. 9.1 - Prob. 49E Ch. 9.1 - Prob. 50E Ch. 9.1 - Prob. 51E Ch. 9.1 - Prob. 52E Ch. 9.1 - Prob. 53E Ch. 9.1 - Prob. 54E Ch. 9.1 - Prob. 55E Ch. 9.1 - Prob. 56E Ch. 9.1 - Prob. 57E Ch. 9.1 - Prob. 58E Ch. 9.1 - Prob. 59E Ch. 9.2 - Prob. 1E Ch. 9.2 - Prob. 2E Ch. 9.2 - Prob. 3E Ch. 9.2 - Prob. 4E Ch. 9.2 - Prob. 5E Ch. 9.2 - Prob. 6E Ch. 9.2 - Prob. 7E Ch. 9.2 - Prob. 8E Ch. 9.2 - Prob. 9E Ch. 9.2 - Prob. 10E Ch. 9.2 - Prob. 11E Ch. 9.2 - Prob. 12E Ch. 9.2 - Prob. 13E Ch. 9.2 - Prob. 14E Ch. 9.2 - Prob. 15E Ch. 9.2 - Prob. 16E Ch. 9.2 - Prob. 17E Ch. 9.2 - Prob. 18E Ch. 9.2 - Prob. 19E Ch. 9.2 - Prob. 20E Ch. 9.2 - Prob. 21E Ch. 9.2 - Prob. 22E Ch. 9.2 - Prob. 23E Ch. 9.2 - Prob. 24E Ch. 9.2 - Prob. 25E Ch. 9.2 - Prob. 26E Ch. 9.2 - Prob. 27E Ch. 9.2 - Prob. 28E Ch. 9.2 - Prob. 29E Ch. 9.2 - Prob. 30E Ch. 9.2 - Prob. 31E Ch. 9.2 - Prob. 32E Ch. 9.2 - Prob. 33E Ch. 9.2 - Prob. 34E Ch. 9.2 - Prob. 35E Ch. 9.2 - Prob. 36E Ch. 9.2 - Prob. 37E Ch. 9.2 - Prob. 38E Ch. 9.2 - Prob. 39E Ch. 9.2 - Prob. 40E Ch. 9.2 - Prob. 41E Ch. 9.2 - Prob. 42E Ch. 9.2 - Prob. 43E Ch. 9.2 - Prob. 44E Ch. 9.2 - Prob. 45E Ch. 9.2 - Prob. 46E Ch. 9.2 - Prob. 47E Ch. 9.2 - Prob. 48E Ch. 9.2 - Prob. 49E Ch. 9.2 - Prob. 50E Ch. 9.2 - Prob. 51E Ch. 9.2 - Prob. 52E Ch. 9.2 - Prob. 53E Ch. 9.3 - Prob. 1E Ch. 9.3 - Prob. 2E Ch. 9.3 - Prob. 3E Ch. 9.3 - Prob. 4E Ch. 9.3 - Prob. 5E Ch. 9.3 - Prob. 6E Ch. 9.3 - Prob. 7E Ch. 9.3 - Prob. 8E Ch. 9.3 - Prob. 9E Ch. 9.3 - Prob. 10E Ch. 9.3 - Prob. 11E Ch. 9.3 - Prob. 12E Ch. 9.3 - Prob. 13E Ch. 9.3 - Prob. 14E Ch. 9.3 - Prob. 15E Ch. 9.3 - Prob. 16E Ch. 9.3 - Prob. 17E Ch. 9.3 - Prob. 18E Ch. 9.3 - Prob. 19E Ch. 9.3 - Prob. 20E Ch. 9.3 - Prob. 21E Ch. 9.3 - Prob. 22E Ch. 9.3 - Prob. 23E Ch. 9.3 - Prob. 24E Ch. 9.3 - Prob. 25E Ch. 9.3 - Prob. 26E Ch. 9.3 - Prob. 27E Ch. 9.3 - Prob. 28E Ch. 9.3 - Prob. 29E Ch. 9.3 - Prob. 30E Ch. 9.3 - Prob. 31E Ch. 9.3 - Prob. 32E Ch. 9.3 - Prob. 33E Ch. 9.3 - Prob. 34E Ch. 9.3 - Prob. 35E Ch. 9.3 - Prob. 36E Ch. 9.3 - Prob. 37E Ch. 9.3 - Prob. 38E Ch. 9.3 - Prob. 39E Ch. 9.3 - Prob. 40E Ch. 9.3 - Prob. 41E Ch. 9.3 - Prob. 42E Ch. 9.3 - Prob. 43E Ch. 9.3 - Prob. 44E Ch. 9.3 - Prob. 45E Ch. 9.3 - Prob. 46E Ch. 9.3 - Prob. 47E Ch. 9.3 - Prob. 48E Ch. 9.3 - Prob. 49E Ch. 9.3 - Prob. 50E Ch. 9.3 - Prob. 51E Ch. 9.3 - Prob. 52E Ch. 9.3 - Prob. 53E Ch. 9.4 - Prob. 1E Ch. 9.4 - Prob. 2E Ch. 9.4 - Prob. 3E Ch. 9.4 - Prob. 4E Ch. 9.4 - Prob. 5E Ch. 9.4 - Prob. 6E Ch. 9.4 - Prob. 7E Ch. 9.4 - Prob. 8E Ch. 9.4 - Prob. 9E Ch. 9.4 - Prob. 10E Ch. 9.4 - Prob. 11E Ch. 9.4 - Prob. 12E Ch. 9.4 - Prob. 13E Ch. 9.4 - Prob. 14E Ch. 9.4 - Prob. 15E Ch. 9.4 - Prob. 16E Ch. 9.4 - Prob. 17E Ch. 9.4 - Prob. 18E Ch. 9.4 - Prob. 19E Ch. 9.4 - Prob. 20E Ch. 9.4 - Prob. 21E Ch. 9.4 - Prob. 22E Ch. 9.4 - Prob. 23E Ch. 9.4 - Prob. 24E Ch. 9.4 - Prob. 25E Ch. 9.4 - Prob. 26E Ch. 9.4 - Prob. 27E Ch. 9.4 - Prob. 28E Ch. 9.4 - Prob. 29E Ch. 9.4 - Prob. 30E Ch. 9.4 - Prob. 31E Ch. 9.4 - Prob. 32E Ch. 9.4 - Prob. 33E Ch. 9.4 - Prob. 34E Ch. 9.4 - Prob. 35E Ch. 9.4 - Prob. 36E Ch. 9.4 - Prob. 37E Ch. 9.4 - Prob. 38E Ch. 9.4 - Prob. 39E Ch. 9.4 - Prob. 40E Ch. 9.4 - Prob. 41E Ch. 9.4 - Prob. 42E Ch. 9.4 - Prob. 43E Ch. 9.4 - Prob. 44E Ch. 9.4 - Prob. 45E Ch. 9.4 - Prob. 46E Ch. 9.4 - Prob. 47E Ch. 9.4 - Prob. 48E Ch. 9.4 - Prob. 49E Ch. 9.4 - Prob. 50E Ch. 9.4 - Prob. 51E Ch. 9.4 - Prob. 52E Ch. 9.4 - Prob. 53E Ch. 9.4 - Prob. 54E Ch. 9.4 - Prob. 55E Ch. 9.4 - Prob. 56E Ch. 9.4 - Prob. 57E Ch. 9.4 - Prob. 58E Ch. 9.4 - Prob. 59E Ch. 9.4 - Prob. 60E Ch. 9.4 - Prob. 61E Ch. 9.4 - Prob. 62E Ch. 9.4 - Prob. 63E Ch. 9.4 - Prob. 64E Ch. 9.4 - Prob. 65E Ch. 9.4 - Prob. 66E Ch. 9.4 - Prob. 67E Ch. 9.4 - Prob. 68E Ch. 9.4 - Prob. 69E Ch. 9.4 - Prob. 70E Ch. 9.4 - Prob. 71E Ch. 9.4 - Prob. 72E Ch. 9.4 - Prob. 73E Ch. 9.4 - Prob. 74E Ch. 9.4 - Prob. 75E Ch. 9.4 - Prob. 1Q Ch. 9.4 - Prob. 2Q Ch. 9.4 - Prob. 3Q Ch. 9.4 - Prob. 4Q Ch. 9.4 - Prob. 5Q Ch. 9.4 - Prob. 6Q Ch. 9.4 - Prob. 7Q Ch. 9.4 - Prob. 8Q Ch. 9.4 - Prob. 9Q Ch. 9.4 - Prob. 10Q Ch. 9.4 - Prob. 11Q Ch. 9.4 - Prob. 12Q Ch. 9.4 - Prob. 13Q Ch. 9.4 - Prob. 14Q Ch. 9.4 - Prob. 15Q Ch. 9.4 - Prob. 16Q Ch. 9.4 - Prob. 17Q Ch. 9.5 - Prob. 1E Ch. 9.5 - Prob. 2E Ch. 9.5 - Prob. 3E Ch. 9.5 - Prob. 4E Ch. 9.5 - Prob. 5E Ch. 9.5 - Prob. 6E Ch. 9.5 - Prob. 7E Ch. 9.5 - Prob. 8E Ch. 9.5 - Prob. 9E Ch. 9.5 - Prob. 10E Ch. 9.5 - Prob. 11E Ch. 9.5 - Prob. 12E Ch. 9.5 - Prob. 13E Ch. 9.5 - Prob. 14E Ch. 9.5 - Prob. 15E Ch. 9.5 - Prob. 16E Ch. 9.5 - Prob. 17E Ch. 9.5 - Prob. 18E Ch. 9.5 - Prob. 19E Ch. 9.5 - Prob. 20E Ch. 9.5 - Prob. 21E Ch. 9.5 - Prob. 22E Ch. 9.5 - Prob. 23E Ch. 9.5 - Prob. 24E Ch. 9.5 - Prob. 25E Ch. 9.5 - Prob. 26E Ch. 9.5 - Prob. 27E Ch. 9.5 - Prob. 28E Ch. 9.5 - Prob. 29E Ch. 9.5 - Prob. 30E Ch. 9.5 - Prob. 31E Ch. 9.5 - Prob. 32E Ch. 9.5 - Prob. 33E Ch. 9.5 - Prob. 34E Ch. 9.5 - Prob. 35E Ch. 9.5 - Prob. 36E Ch. 9.5 - Prob. 37E Ch. 9.5 - Prob. 38E Ch. 9.5 - Prob. 39E Ch. 9.5 - Prob. 40E Ch. 9.5 - Prob. 41E Ch. 9.5 - Prob. 42E Ch. 9.5 - Prob. 43E Ch. 9.5 - Prob. 44E Ch. 9.5 - Prob. 45E Ch. 9.5 - Prob. 46E Ch. 9.5 - Prob. 47E Ch. 9.5 - Prob. 48E Ch. 9.5 - Prob. 49E Ch. 9.5 - Prob. 50E Ch. 9.5 - Prob. 51E Ch. 9.5 - Prob. 52E Ch. 9.5 - Prob. 53E Ch. 9.5 - Prob. 54E Ch. 9.5 - Prob. 55E Ch. 9.5 - Prob. 56E Ch. 9.5 - Prob. 57E Ch. 9.5 - Prob. 58E Ch. 9.6 - Prob. 1E Ch. 9.6 - Prob. 2E Ch. 9.6 - Prob. 3E Ch. 9.6 - Prob. 4E Ch. 9.6 - Prob. 5E Ch. 9.6 - Prob. 6E Ch. 9.6 - Prob. 7E Ch. 9.6 - Prob. 8E Ch. 9.6 - Prob. 9E Ch. 9.6 - Prob. 10E Ch. 9.6 - Prob. 11E Ch. 9.6 - Prob. 12E Ch. 9.6 - Prob. 13E Ch. 9.6 - Prob. 14E Ch. 9.6 - Prob. 15E Ch. 9.6 - Prob. 16E Ch. 9.6 - Prob. 17E Ch. 9.6 - Prob. 18E Ch. 9.6 - Prob. 19E Ch. 9.6 - Prob. 20E Ch. 9.6 - Prob. 21E Ch. 9.6 - Prob. 22E Ch. 9.6 - Prob. 23E Ch. 9.6 - Prob. 24E Ch. 9.6 - Prob. 25E Ch. 9.6 - Prob. 26E Ch. 9.6 - Prob. 27E Ch. 9.6 - Prob. 28E Ch. 9.6 - Prob. 29E Ch. 9.6 - Prob. 30E Ch. 9.6 - Prob. 31E Ch. 9.6 - Prob. 32E Ch. 9.6 - Prob. 33E Ch. 9.6 - Prob. 34E Ch. 9.6 - Prob. 35E Ch. 9.6 - Prob. 36E Ch. 9.6 - Prob. 37E Ch. 9.6 - Prob. 38E Ch. 9.6 - Prob. 39E Ch. 9.7 - Prob. 1E Ch. 9.7 - Prob. 2E Ch. 9.7 - Prob. 3E Ch. 9.7 - Prob. 4E Ch. 9.7 - Prob. 5E Ch. 9.7 - Prob. 6E Ch. 9.7 - Prob. 7E Ch. 9.7 - Prob. 8E Ch. 9.7 - Prob. 9E Ch. 9.7 - Prob. 10E Ch. 9.7 - Prob. 11E Ch. 9.7 - Prob. 12E Ch. 9.7 - Prob. 13E Ch. 9.7 - Prob. 14E Ch. 9.7 - Prob. 15E Ch. 9.7 - Prob. 16E Ch. 9.7 - Prob. 17E Ch. 9.7 - Prob. 18E Ch. 9.7 - Prob. 19E Ch. 9.7 - Prob. 20E Ch. 9.7 - Prob. 21E Ch. 9.7 - Prob. 22E Ch. 9.7 - Prob. 23E Ch. 9.7 - Prob. 24E Ch. 9.7 - Prob. 25E Ch. 9.7 - Prob. 26E Ch. 9.7 - Prob. 27E Ch. 9.7 - Prob. 28E Ch. 9.7 - Prob. 29E Ch. 9.7 - Prob. 30E Ch. 9.7 - Prob. 31E Ch. 9.7 - Prob. 32E Ch. 9.7 - Prob. 33E Ch. 9.7 - Prob. 34E Ch. 9.7 - Prob. 35E Ch. 9.7 - Prob. 36E Ch. 9.7 - Prob. 37E Ch. 9.7 - Prob. 38E Ch. 9.7 - Prob. 39E Ch. 9.7 - Prob. 40E Ch. 9.7 - Prob. 41E Ch. 9.7 - Prob. 42E Ch. 9.7 - Prob. 43E Ch. 9.8 - Prob. 1E Ch. 9.8 - Prob. 2E Ch. 9.8 - Prob. 3E Ch. 9.8 - Prob. 4E Ch. 9.8 - Prob. 5E Ch. 9.8 - Prob. 6E Ch. 9.8 - Prob. 7E Ch. 9.8 - Prob. 8E Ch. 9.8 - Prob. 9E Ch. 9.8 - Prob. 10E Ch. 9.8 - Prob. 11E Ch. 9.8 - Prob. 12E Ch. 9.8 - Prob. 13E Ch. 9.8 - Prob. 14E Ch. 9.8 - Prob. 15E Ch. 9.8 - Prob. 16E Ch. 9.8 - Prob. 17E Ch. 9.8 - Prob. 18E Ch. 9.8 - Prob. 19E Ch. 9.8 - Prob. 20E Ch. 9.8 - Prob. 21E Ch. 9.8 - Prob. 22E Ch. 9.8 - Prob. 23E Ch. 9.8 - Prob. 24E Ch. 9.8 - Prob. 25E Ch. 9.8 - Prob. 26E Ch. 9.8 - Prob. 27E Ch. 9.8 - Prob. 28E Ch. 9.8 - Prob. 29E Ch. 9.8 - Prob. 30E Ch. 9.8 - Prob. 31E Ch. 9.8 - Prob. 32E Ch. 9.8 - Prob. 33E Ch. 9.8 - Prob. 34E Ch. 9.8 - Prob. 35E Ch. 9.8 - Prob. 36E Ch. 9.8 - Prob. 37E Ch. 9.8 - Prob. 38E Ch. 9.8 - Prob. 39E Ch. 9.8 - Prob. 40E Ch. 9.8 - Prob. 41E Ch. 9.8 - Prob. 42E Ch. 9.8 - Prob. 43E Ch. 9 - Prob. 1CR Ch. 9 - Prob. 2CR Ch. 9 - Prob. 3CR Ch. 9 - Prob. 4CR Ch. 9 - Prob. 5CR Ch. 9 - Prob. 6CR Ch. 9 - Prob. 7CR Ch. 9 - Prob. 8CR Ch. 9 - Prob. 9CR Ch. 9 - Prob. 10CR Ch. 9 - Prob. 11CR Ch. 9 - Prob. 12CR Ch. 9 - Prob. 13CR Ch. 9 - Prob. 14CR Ch. 9 - Prob. 15CR Ch. 9 - Prob. 16CR Ch. 9 - Prob. 17CR Ch. 9 - Prob. 18CR Ch. 9 - Prob. 19CR Ch. 9 - Prob. 20CR Ch. 9 - Prob. 21CR Ch. 9 - Prob. 22CR Ch. 9 - Prob. 23CR Ch. 9 - Prob. 24CR Ch. 9 - Prob. 25CR Ch. 9 - Prob. 26CR Ch. 9 - Prob. 27CR Ch. 9 - Prob. 28CR Ch. 9 - Prob. 29CR Ch. 9 - Prob. 30CR Ch. 9 - Prob. 31CR Ch. 9 - Prob. 32CR Ch. 9 - Prob. 33CR Ch. 9 - Prob. 34CR Ch. 9 - Prob. 35CR Ch. 9 - Prob. 36CR Ch. 9 - Prob. 37CR Ch. 9 - Prob. 38CR Ch. 9 - Prob. 39CR Ch. 9 - Prob. 40CR Ch. 9 - Prob. 41CR Ch. 9 - Prob. 42CR Ch. 9 - Prob. 43CR Ch. 9 - Prob. 1CT Ch. 9 - Prob. 2CT Ch. 9 - Prob. 3CT Ch. 9 - Prob. 4CT Ch. 9 - Prob. 5CT Ch. 9 - Prob. 6CT Ch. 9 - Prob. 7CT Ch. 9 - Prob. 8CT Ch. 9 - Prob. 9CT Ch. 9 - Prob. 10CT Ch. 9 - Prob. 11CT Ch. 9 - Prob. 12CT Ch. 9 - Prob. 13CT Ch. 9 - Prob. 14CT Ch. 9 - Prob. 15CT Ch. 9 - Prob. 16CT Ch. 9 - Prob. 17CT Ch. 9 - Prob. 18CT Ch. 9 - Prob. 1CA Ch. 9 - Prob. 2CA Ch. 9 - Prob. 3CA Ch. 9 - Prob. 4CA Ch. 9 - Prob. 5CA Ch. 9 - Prob. 6CA Ch. 9 - Prob. 7CA Ch. 9 - Prob. 8CA Ch. 9 - Prob. 9CA

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

A sinusoidal model for the tide depth d (in feet) as a function of time t (in hours).

Videos

To find: A sinusoidal model for the tide depth d<m:math><m:mi>d</m:mi></m:math> (in feet) as a function of time t<m:math><m:mi>t</m:mi></m:math> (in hours).

Answer to Problem 31E

Explanation of Solution

To find: All the time when low and high tide occurs in 24<m:math><m:mrow><m:mn>24</m:mn></m:mrow></m:math> hour period.

Answer to Problem 31E

Explanation of Solution

To find: The relationship between graph from part b<m:math><m:mi>b</m:mi></m:math> and graph of tide depth t<m:math><m:mi>t</m:mi></m:math> hours after 3:00<m:math><m:mrow><m:mn>3</m:mn><m:mo>:</m:mo><m:mn>00</m:mn></m:mrow></m:math> AM.

Explanation of Solution

Chapter 9 Solutions

To find: A sinusoidal model for the tide depth $d$ (in feet) as a function of time $t$ (in hours).

To find: All the time when low and high tide occurs in $24$ hour period.

To find: The relationship between graph from part $b$ and graph of tide depth $t$ hours after $3:00$ AM.