12:41 PM Sun Jul 10 1. [10.24/33.33 Points] 1 Consider the following. Function f(x) = sin²(x) + cos(x) (a) Use a graphin
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- 12 41 Pm Sun Jul 10 1 10 24 33 33 Points 1 Consider The Following Function F X Sin X Cos X A Use A Graphin 1 (29.07 KiB) Viewed 49 times
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- 12 41 Pm Sun Jul 10 1 10 24 33 33 Points 1 Consider The Following Function F X Sin X Cos X A Use A Graphin 3 (31.6 KiB) Viewed 49 times
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12:41 PM Sun Jul 10 local maximum local minimum. *= x= CO24 Approximate the maximum and minimum points on the graph in the interval [0, 2r). (Round each coordinate to four decimal places.) 1.25 ) (smaller x-value) A 3 5x 3 X=X x-2x 7 140.0063 53 Drin IN (x, y) = (x, y) = (x, y) = x x 60|24 5x 3 DETAILS (b) Solve the trigonometric equation and verify that its solutions are the x-coordinates of the maximum and minimum points of f. (Calculus is required to find the trigonometric equation. For each solution, give an exact answer and then round to four decimal places. Enter your answers from smallest to largest.) A-1 2x,1 x 5.24 1.05 * 1.25 3.14 6.28 X x x ✓ x www webassign.net 2x DOQUC ANGINED ✓ ) (larger x-value) x) (smaller x-value) x) (larger x-value) -1 LADI 2 14.4.0.0FF 14% S MY NOTEC
12:41 PM Sun Jul 10 2. [19.98/33.33 Points] The number of hours H of daylight in Denver, Colorado, on the 15th of each month starting with January are: 9.68, 10.72, 11.92, 13.25, 14.35, 14.97, 14.72, 13.73, 12.47, 11.18, 10.00, and 9.37. A model for the data is H(t) - 12.13 +2.77 sin(-1.60) 15 10 where t represents the month, with t= 1 corresponding to January, (a) Use a graphing utility to graph the data points and the model in the same viewing window. H(t) H(t) H(t) 15 O 10 DETAILS 5 PREVIOUS ANSWERS 4 6 8 8 10 12 webassign.net 10 12 LARPCALCLIM4 4.8.056. t t 15 10 O H(t) 15 10 5 2 4 8 10 12 10 12 t 14% t MY NOTES
12:41 PM Sun Jul 10 2 4 6 (b) What is the period of the model? 12 8 10 (c) What is the amplitude of the model? 2.77 12 *** webassign.net a t Is it what you expected? Explain. Yes, this is the expected value because there are 12 months in one year. Yes, this is the expected value because it corresponds to the number of data points. No, this is not the expected value because there are 12 months in one year. No, this is not the expected value because there are four seasons in one year. No, this is not expected because this data is only representative of one year. What does it represent in the context of the problem? O The amplitude represents the average number of hours of daylight. O The amplitude represents the maximum hours of daylight. O The amplitude represents the average displacement from the average number of hours of daylight. The amplitude represents the maximum displacement from the average number of hours of daylight. The amplitude represents the minimum hours of daylight. 10 12 t 14%