Question

1. [-/4 Points] DETAILS MY NOTES ASK YOUR TEACHER Fernando just installed a solar panel on his roof. The panel is most effctive when the sun is directly overhead, and less effective near sunrise and sunset. By reading his meter every few minutes, Fernando constructs a model of his solar panel's efficiency. $$P = 58sin(\frac{\pi}{12}t - \frac{5\pi}{12}) + 58$$ Here P is solar panel's power output, measured in kilowatts, while t is the time of day in hours, without AM or PM designation (so PM times become values of 12 or greater). Use this model to find the solar panel's peak power output. At what time of day does this peak occur? A: What is the maximum value the given sine function can take? kilowatts. B: At what angle (in radians) is the sine function maximized? ---Select--- C: Set the argument of the given sine function equal to its maximizing angle to obtain an equation involving time. What is this equation? D: Solve your equation from part C to identify when the solar panel reaches its peak power output. The peak power output occurs at hour Submit Answer [-/4 Points] > DETAILS MY NOTES ASK YOUR TEACHER FAs a meteorologist, James has collected a lot of information about how temperature varies throughout the year. He uses this data to create a model. $$T = 52+23cos(\frac{\pi}{6}t - \frac{7\pi}{6})$$ Here m is the month (1 for January, 2 for February, etc.) while T is the average temperature for that month, measured in degrees Fahrenheit. According to James's model, what is the hottest month of the year? What is the average temperature during that month? A: What is the maximum value the given cosine function can take? degrees. B: At what angle (in radians) is the cosine function maximized? ---Select--- C: Set the argument of the given cosine function equal to its maximizing angle to obtain an equation involving the month t. What is this equation? D: Solve your equation from part C to identify the hottest month. Write the name of the month, not its number, and be sure to capitalize the first letter. The hottest month is Submit Answer

          1. [-/4 Points]
DETAILS
MY NOTES
ASK YOUR TEACHER
Fernando just installed a solar panel on his roof. The panel is most effctive when the sun is directly overhead, and less effective
near sunrise and sunset. By reading his meter every few minutes, Fernando constructs a model of his solar panel's efficiency.
$$P = 58sin(\frac{\pi}{12}t - \frac{5\pi}{12}) + 58$$
Here P is solar panel's power output, measured in kilowatts, while t is the time of day in hours, without AM or PM designation (so
PM times become values of 12 or greater). Use this model to find the solar panel's peak power output. At what time of day does
this peak occur?
A: What is the maximum value the given sine function can take?
kilowatts.
B: At what angle (in radians) is the sine function maximized?
---Select---
C: Set the argument of the given sine function equal to its maximizing angle to obtain an equation involving time. What is this
equation?
D: Solve your equation from part C to identify when the solar panel reaches its peak power output.
The peak power output occurs at hour
Submit Answer
[-/4 Points]
>
DETAILS
MY NOTES
ASK YOUR TEACHER
FAs a meteorologist, James has collected a lot of information about how temperature varies throughout the year. He uses this data
to create a model.
$$T = 52+23cos(\frac{\pi}{6}t - \frac{7\pi}{6})$$
Here m is the month (1 for January, 2 for February, etc.) while T is the average temperature for that month, measured in degrees
Fahrenheit. According to James's model, what is the hottest month of the year? What is the average temperature during that
month?
A: What is the maximum value the given cosine function can take?
degrees.
B: At what angle (in radians) is the cosine function maximized?
---Select---
C: Set the argument of the given cosine function equal to its maximizing angle to obtain an equation involving the month t. What
is this equation?
D: Solve your equation from part C to identify the hottest month. Write the name of the month, not its number, and be sure to
capitalize the first letter.
The hottest month is
Submit Answer

1 4 points details my notes ask your teacher fernando just installed a solar panel on his roof the panel is most effctive when the sun is directly overhead and less effective near sunrise an 72285

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