Data on sunspots shows that the sunspot number waxes and wanes with a more or less regular solar cycle which repeats itself every 11 years. If there was a minimum in the sunspot number in 1744 of about 10 and a maximum of about 90 in 1750, use the model n(t)  = a. sin( b t + c) + d with appropriate values of a, b, c and d to predict the sunspot number n during the years 1752 and 1758

Q: Give an equation for a transformed sine function with an amplitude of a period of, and a vertical…

A: In the given problem we have to find an equation for a transformed sine function with an amplitude…

Q: What is the graph of the function over a one-period interval? y = cot 7x

A: Given: y=cot7x The graph has no horizontal asymptote and no oblique asymptote. Vertical asymptote:…

Q: without a calculator tan(π/3)=

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Q: graph one fundamental period of  y=-tan(x-pi/2)+1 phase shift=              period=

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Q: Scientists have studied the annual biorhythm of the excretion of norepinephrine (a hormone and a…

A: Introduction: A curve, also known as a sine wave or a sinusoid, that displays smooth, periodic…

Q: On a piece of graph paper, create an amplitude vs. time graph of a sine wave with an amplitude of 5…

A: Formula: Frequency=1Period. Given: Amplitude = 5 Pa Period(T) = 0.03 sec. To find: Frequency(f).

Q: You are asked to check a classmate's work and give quality feedback. Your classmate said that cos 30…

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Q: Determine the equation of the cosine function that has an amplitude of 4, a period of 2T, and has a…

A: The general equation of cosine function is y=AcosBx-C+D Here,  A=AmplitudeP=2πB=PeriodCB=Horizontal…

Q: hat is the period, amplitude, phase shift of y=-4sin2(x-45

A: calculation of above requirement are as follows

Q: What is the period of the graph of the function y=3cos(2pix)

A: Graph of a function is

Q: Suppose the point (4,6) sits on a ray from the origin making an angle of A in standard position, and…

A: topic - trigonometric ratios

Q: Shown is your author’s chart,beginning January 25, 2015, when he was 25,473 days old. We all have…

A: Consider the graph,To find:If you extend these sinusoidal graphs to the end of the year, is there a…

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

A: To graph the following function    y= -2 sin (1/3 (×- pi/4) ) + 1 This graph is opposite to sine…

Q: Compute the exact value of cos (-7π/ 8) . Show work and do not use a calculator.

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Q: y y 70 70 60 60 50 50 40 40 30 30} 20 20 10 10 10 15 10 15 y y 70 70 60 60 50 50 40 40 30 30 20 20…

A: Consider the given table.

Q: A 1.4-m pendulum is initially at its leftmost position of -9 degrees .Determine the period for one…

A: The objective of this question is to find the period of a pendulum swing and to model the angular…

Q: A sine function has a period of P units and has a phase shift of 2 units (to the right 2 units) when…

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Q: Give an equation for a transformed sine function with an amplitude of 3, a period of , and a phase…

A: Given That : Amplitude  =3 Period =π4  phase shift =π5 To Find : Transform equation of sine function…

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: The population of arctic foxes in Yukon can be modelled by the following equation: P = 400 cos(30t -…

A: P=400cos30t-180+1100 t represents the number of  year since  1992