Math Assignment| May 11 2012 | | 1) Is the blood amongst hours of 24 hour period and day of year cyclic in nature? guarantee your answer. Yes, the relationship between hours of daylight and day of year periodic is in nature. It is because there are 365.25 days in peerless year and four years for unmatchable period which nub there are loss to cast four said(prenominal) data in the whole period. And there is going to arrive at the very(prenominal) maximum and minimum for four times. Therefore, this relationship is a periodic. 2) development the interpret intend the business offices (a) Amplitude= (Max. - Min. )/2 = (15.45- 8.95) /2 = 3.25 (b) menstruation= 360 (c) Phase happy chance= vertical reflection, vertical stretched by agentive role of 3 (d) commentary= 12.2 units upward (3) Given your answer from 2. Determine the equivalence of the musical line in the form: (a) f(x)= a sin k ( x-d ) +c f( x)= 3.25sin(1/2x)+8.96 (b) f(x) = a cos k ( x d ) +c f(x)= -3.25cosx+ 12.2 (4) Entering the conniption used: X min. = 0 X max. = 375 Y min. = 0 Y max. = 16 (5) The equation occurred in the graphing ready reckoner is 3.232 sin (0.17x+1.38) +12.

17 (6) The electronic computer provide only do sinusoidal regression in radians. To alternate your equation to degrees, take your b (or k) purview and quadruplex it by 180/?. Answer: 180/? for two equations. In degrees, it is 57.3. (7) How does your graph co mpare with your data generated graph on the ! calculator? State any similarities or differences using toll from this unit. The law of similarity between my graph and the data generated graph is both of them have the same y- interrupt which is 8.96. And, my cosine function is exactly the same with the data generated graph. However, my sine functions maximum value is not 15.45 but 12.2. Heres the difference between my sine function and the data generated graph. (8) Using both equations, determine the expected hours of daylight...If you want to get a full essay, hunting lodge it on our website:
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