The graph of a sinusoidal function has been vertically stretched, horizontally stretched by a factor of 2, vertically shifted down 1 unit, and horizontally translated left. The graph has a maximum at (,5). If the x-axis is in radians, state the amplitude of the function and state the coordinates of one point where the graph has a minimum.

Q: Outside temperatures over a 24-hour period can be modeled by a sinusoidal function. Suppose the high…

A: Given: The outside temperature over a 24hours is modeled using a sinusoidal function. The high…

Q: he graph of y=cosx is vertically stretched up by a factor of 3 and shifted down by 5 units. One…

A: In this question we have to translate the basic function y=cos(x)

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Q: Suppose that you are on the beach on December 25th and notice high tide occurs at 1:00 pm with a…

A: High tide occours at  pm and the depth is  meterLow tide occours at  and the depth is

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A: The function is given as fx=cosx......(1)

Q: Consider the following system. 9 -4 0 *- (-:;:;)* X'= 1 0 2 X 0 2.9

A:

Q: Write down the characteristics of cosine function and draw its graph

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Q: Use a graphing utility to graph y = x sin1/ x . Show that the graph is concave downward to the right…

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Q: Suppose that cotx 3 find the value of cot (x − 3)

A:

Q: Graph, show two cycles of the curve  y= -2 sin (1/3 (×- pi/4) ) + 1

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Q: On 31 January, 2009, during a heat wave in Mildura, Victoria, the maximum temperature recordedwas…

A: Given that the maximum temperature recorded was approximately 44°C and the minimum overnight…

Q: Find the amplitude, equation of the midline, period of the function, and equation of the function…

A:

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A: Consider the given table.

Q: A pendulum is release data point 5 meters to the right of its position at rest. Graph a cosine…

A:

Q: What are the domain and the range of the secant function? What is the period?

A: The domain of a function is the set of input or argument values for which the function is real and…

Q: Which function has a vertical asymptote when the value of the cosine function is 0?

A: We have to find the function which has a vertical asymptote when the value of cosine function is 0 .

Q: A swimmer on a floating air mattress will follow the rise and fall of the waves in lake. When the…

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Q: The graph of the cosine function has been vertically compressed by a factor of 3, reflected in the…

A: Using the given transformations, we can find the required equation.

Q: 2) A 50 foot diameter Ferris wheel is constantly turning at four revolutions per hour. The bottom of…

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