a. Answer D ∈ ( − ∞ , ∞ ) Explanation Given: The table shows the normal daily high temperatures in Houston H (in degree Fahrenheit) for month t, with t = 1 corresponding to January. Month, t 1 2 3 4 5 6 7 8 9 10 11 12 Houston, H 62.3 66.5 73.3 79.1 85.5 90.7 93.6 93.5 89.3 82.0 72.0 64.6 Plot the points on graph using scatter creator. b. To determine To find: The cosine model. Answer H = 15.65 cos ( π 6 t − 7 π 6 ) + 77.95 Explanation Given: The table shows the normal daily high temperatures in Houston H (in degree Fahrenheit) for month t, with t = 1 corresponding to January. Month, t 1 2 3 4 5 6 7 8 9 10 11 12 Houston, H 62.3 66.5 73.3 79.1 85.5 90.7 93.6 93.5 89.3 82.0 72.0 64.6 First trace the all the points and then find the cosine function. So, cosine function will be H = 15.65 cos ( π 6 t − 7 π 6 ) + 77.95 c. To determine To fit: The model and data plot on graph Explanation Given: The table shows the normal daily high temperatures in Houston H (in degree Fahrenheit) for month t, with t = 1 corresponding to January. Month, t 1 2 3 4 5 6 7 8 9 10 11 12 Houston, H 62.3 66.5 73.3 79.1 85.5 90.7 93.6 93.5 89.3 82.0 72.0 64.6 Best fit H = 15.65 cos ( π 6 t − 7 π 6 ) + 77.95 d. To determine To find: The overall normal daily high temperature. Explanation Given: The table shows the normal daily high temperatures in Houston H (in degree Fahrenheit) for month t, with t = 1 corresponding to January. Month, t 1 2 3 4 5 6 7 8 9 10 11 12 Houston, H 62.3 66.5 73.3 79.1 85.5 90.7 93.6 93.5 89.3 82.0 72.0 64.6 The coefficient of cosine model is normal daily high temperature. H = 15.65 cos ( π 6 t − 7 π 6 ) + 77.95 Hence, the overall normal daily temperature 77.95 ∘ F e. To determine To find: The months during which the normal daily high temperature is above 86 ∘ F and below 86 ∘ F . Answer Below 86 ∘ F Months: October through May Above 86 ∘ F Months: June through September Explanation Given: The table shows the normal daily high temperatures in Houston H (in degree Fahrenheit) for month t, with t = 1 corresponding to January. Month, t 1 2 3 4 5 6 7 8 9 10 11 12 Houston, H 62.3 66.5 73.3 79.1 85.5 90.7 93.6 93.5 89.3 82.0 72.0 64.6 The coefficient of cosine model is normal daily high temperature. H = 15.65 cos ( π 6 t − 7 π 6 ) + 77.95 First check the months below 86 ∘ F Months: October through May Months above 86 ∘ F Months: June through September

3rd Edition

ISBN: 9781285607160

Author: Larson

Publisher: CENGAGE CO

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topic…

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Question

Chapter 5.3, Problem 93E

To determine

To plot: The data on graph.

Expert Solution

Answer to Problem 93E

D∈(−∞,∞)

Explanation of Solution

Given:The table shows the normal daily high temperatures in Houston H (in degree Fahrenheit) for month t, with t=1 corresponding to January.

Month,t123456789101112Houston,H62.366.573.379.185.590.793.693.589.382.072.064.6

Plot the points on graph using scatter creator.

EBK PRECALCULUS W/LIMITS, Chapter 5.3, Problem 93E , additional homework tip 1

To determine

To find: The cosine model.

Expert Solution

Answer to Problem 93E

H=15.65cos(π6t−7π6)+77.95

Explanation of Solution

Given: The table shows the normal daily high temperatures in Houston H (in degree Fahrenheit) for month t, with t=1 corresponding to January.

Month,t123456789101112Houston,H62.366.573.379.185.590.793.693.589.382.072.064.6

First trace the all the points and then find the cosine function.

So, cosine function will be

H=15.65cos(π6t−7π6)+77.95

To determine

To fit: The model and data plot on graph

Expert Solution

Explanation of Solution

Given: The table shows the normal daily high temperatures in Houston H (in degree Fahrenheit) for month t, with t=1 corresponding to January.

Month,t123456789101112Houston,H62.366.573.379.185.590.793.693.589.382.072.064.6

EBK PRECALCULUS W/LIMITS, Chapter 5.3, Problem 93E , additional homework tip 2

Best fit H=15.65cos(π6t−7π6)+77.95

To determine

To find: The overall normal daily high temperature.

Expert Solution

Explanation of Solution

Given: The table shows the normal daily high temperatures in Houston H (in degree Fahrenheit) for month t, with t=1 corresponding to January.

Month,t123456789101112Houston,H62.366.573.379.185.590.793.693.589.382.072.064.6

The coefficient of cosine model is normal daily high temperature.

H=15.65cos(π6t−7π6)+77.95

Hence, the overall normal daily temperature 77.95∘F

To determine

To find: The months during which the normal daily high temperature is above 86∘F and below 86∘F .

Expert Solution

Answer to Problem 93E

Below 86∘F Months: October through May

Above 86∘F Months: June through September

Explanation of Solution

Given: The table shows the normal daily high temperatures in Houston H (in degree Fahrenheit) for month t, with t=1 corresponding to January.

Month,t123456789101112Houston,H62.366.573.379.185.590.793.693.589.382.072.064.6

The coefficient of cosine model is normal daily high temperature.

H=15.65cos(π6t−7π6)+77.95

First check the months below 86∘F

Months: October through May

Months above 86∘F

Months: June through September

Chapter 5.3, Problem 92E

Chapter 5.3, Problem 94E

Chapter 5 Solutions

EBK PRECALCULUS W/LIMITS

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