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a) Let P(t) be written asP(t) = a cos[b(t - d)] + cThe minimum Pmin and the maximum Pmax of P(t) are given.Pmin = 4Pmax = 20c = (Pmax + Pmin) / 2 = (20 + 4) / 2 = 12|a| = (Pmax - Pmin) / 2 = (20 - 4) / 2 = 8We now need to find the number of days t after January 1st at which P(t) is maximum by counting the days of the months from January to May and adding 21 days in June.t = 31 + 28 + 31 + 30 + 31 + 21 = 172We now use the period to find b (b > 0) as followsperiod = 365 = 2 / bhence b = 2 / 365A cosine function without shift has a maximum at t = 0. P(t) has a maximum at t = 172. We can model P(t) by a cos(x) function shifted by 172 to the right as follows:P(t) = 8 cos[(2 / 365)(t - 172)] + 12check that P(t) is maximum at t = 172: P(172) = 8 cos[(2 / 365)(172 - 172)] + 12 = 8 cos[(0)] + 12 = 20b) The graph of P(t) is shown below. Which is greater, 0.28 or 0.205? Explain how you know. (x^2 - 4)(x^2 + x - 12) = 0 ice cream is served for dessert if Gio serves himself and 3 friends half a cup of ice cream how many total pints did Gio and his friends eat? PLS HELP ITS DUE RIGHT NOW how Do the social structures Of ancient civilizations compare to our societies own social structure Hello, happy Friday, I am just here with some geometry questions.Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!What is x? and how did you get it? Question 7 of 10The radius of Saturn is 60,268 kilometers. What is its diameter?A. 30,134 kilometersB. 120,536 kilometersC. 60,500 kilometersD. 30,528 kilometers If the sum of 20 numbers is 440, find the mean of the numbers. How do people cope or deal with scarcity? between chopin, liszt and brahms, which is most lyrical The position of an object in simple harmonic motion is described by the following equation: y=(0.50 m)cos(pi/2)t. What is the amplitude of vibration?A. 0.75 mB. 0.25 mC. 0.50 m D. 1.0 m Valeria's office recycled a total of 44 kilograms of paper over 4 weeks. How many weeks will it take Valeria's office to recycle a total of 66 kilograms of paper? Solve using unit rates. At the airport, the car rental store charges a $25.00 initial rental fee and $30.00an hour to use the car. What is the total cost of renting the car for 3 hours? ) Alon started in 60% of his team's basketball games this season. He started a total of 12 games. About how many games did Alon's team play this season? * use the two points and the line to find the y-intercepta. (-1, -1)b. (-2, -6)c. (- 3/4, 0)d. (0, 4) Us history what was three undustries in the north answer for brainly pls pls plsbrainly Which of the following was a cause of the Peloponnesian Warbetween Sparta and Athens? 3 yd4 ydWhat is the length of the hypotenuse?yards Which case ruled against segregation at the District Court level? Plessy v. Ferguson Brown v. Board of Education Delgado v. Bastrop ISD Sweatt v. Painter