In a certain town, the longest day of the year, which is in June, lasts fourteen hours. The shortest day of the year, which is in December, lasts ten hours. Twice per year, in March and September, the day is the same length as the night, or twelve hours. Length of day varies sinusoidally through the year. Write an equation for H(m), the length of the day in hours, as a function of the cosine of m, the number of months since January.

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A: Sketch the function.

Q: Determine whether the equation x2 + y2 = 1 defines y as a function of x.

A: The given equation is x2+y2=1. This implies that,

Q: What is meant by Constant function in reference to algebra?

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Q: 24. Is arcsine an even function, an odd function, or neither?

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Q: Find y as a function of x if

A: The given differential equation y'''-4y''-y'+4y=0D3-4D2-D+4=0D+1D-1D-4=0D=-1, 1, 4

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Q: Give the equation for the function whose graph appears above. Use f(x) as the output.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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Q: Write the equation of a sine or cosine function to describe the graph. 4+ 3+ 1+ 3% -1- 4

A: Write the equation of a sine or cosine function to describe the following graph:

Q: Sketch the graph of the function

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Q: Write the following function in terms of its cofunction. IT sec 6.

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A: Note:- According to our guideline i didn't solved multiple questions, so please again repost the…

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Q: 7. The path of football during a kickoff can be modeled by the function y = -.0046x + 1.23x a. How…

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Q: Determine whether the equation x = y2 defines y as a function of x.

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Q: Determine whether the equation 4x = y2 defines y as a function of x.

A: we have to determine whether the equation  4x=y2 defines y as a function of x.

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Q: 8. Which equation does not represent y as a function of x?

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Q: Find the equation for a radical function.in the form y = avx-h+k with intercepts of G.0) and (0,-1).

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Q: Who would you algebraically find the two equations for this radical function?

A: The standard form of a the given radical function can be written as follows:

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Q: t3 -4- Based on the graph above, determine the amplitude, midline, and period of the function

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Q: Find the slope of the function given at the point shown: f(x)=(1+cscx)/(1-cscx)at((\pi )/(6),-3)

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A: Velocity is given by the formula v(h) = (9.8)(2)(h) , where h is the height Here we need to find the…