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- Which of the following is a periodic function?decide if the given statement is true or false,and give a brief justification for your answer.If true, you can quote a relevant definition or theorem . If false,provide an example,illustration,or brief explanation of why the statement is false. Q) If m and n are positive integers and f is a periodic function with period m and g is a periodic function with period n, then f +g is a periodic function with period m+n.A periodic function f(x) has a period of 11. The values of f(3) and f(11) are 12 and 27, respectively. What is the value of f(14)?
- decide if the given statement is true or false,and give a brief justification for your answer.If true, you can quote a relevant definition or theorem . If false,provide an example,illustration,or brief explanation of why the statement is false. Q) If f is a periodic function and g is a function such that g(t) = f(t +c) for some constant c, then g is a periodic function with the same period as f.What is the function of the form y=Asin(kx)+C or y=Acos(kx)+C whos graph matches the graph in the pictureThe data and graph above show the number of hours of daylight in Richmond VA for specific dates during 2018. x=t days after Jan. 1 and y = H(t) the number of hours of daylight on day t. We want to write a periodic function for H(t) the number of hours of daylight given t, the number of days since Jan. 1. ( t = 0 represents Jan. 1, 2018.) H(t)=Acos(Bt-C)+D Day 360 has the least number of hours of daylight (not day 0), Determine a good phase shift for this function and use it to find the value of C in the equation.
- Draw the graph of the function f (x) = cos (2x), for the values of x assigned in the following table:(find a midline of a periodic function) Write the equation for the midline represented in the pictureWhich of the following graphs matches the description? G(x) is increasing over (−∞,1) and (9,∞) and decreasing over (1,9).