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Quiz 5 - January and a high of nearly 16.2fu in July(a Find...

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Precalculus February 12,2010 L. Brubaker All work must be shown to receive credit. Do not use a calculator to do the graphing. lra) (2 points) Use a reference rectangle and the rule of fourths to draw a sketch of the function f(t)=2sin(4t)throughtwocompletecycles-onewhere/>0andonewhere/<0,statetheamplitude and period. A =_ I I I I l, I I --\- I I , 3'15 D, \- il, *r 4*1,\ ., -t f .^ I -\ I 9>4 i= = 'rl'a lr; I -_l Mfl points) Using the graph of part a), draw the graph of the function g(t) = 2csc(4t) on the same axes. V t, points) Graph the functio n y = 3 tan(2n) over the interval [+ , +l . State the period, asymptotes, and ,'-\' L2'2J zeroes. 3. (4 points) In Vancouver, British Columbia, the number of hours of daylight reaches a low of 8.3 hr in
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Unformatted text preview: January, and a high of nearly 16.2fu in July. (a) Find a sinusoidal equation model (of the form ! = Acos(Br) + D ) for the number of daylight hours each month; (b) Sketch the graph; and (c) Approximate the number of months each year there are more than I 5 hr of daylight. Assume t : corresponds to January l, t: 0 corresponds to February l, etc. A-_ @r t6,L - v.z Ltr IL tb,'> 4 tr,7 + 'A,5 T * ) t (z '250 D lo 17' 2JO ., G.t q 5 c--s ( / 1 )' i l-\rlrr I u1 ::: fi .''.:) i' 1 1 r-tr \ L '-'l i't-t 't ' .'\ f''Jortt''i1'') ) lrifi x (J' \tn * ) 1,i itt'5 (r1 '[ ' tt (att {'.1 'l 'L/a tG 11-K .i CJ t ... _? ili r"'\r. f i'i r; rz- ,L 6o...
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