Lik the example i attachedI need the answer for all part of D i tick the questionI need answer for d as in example View an example | All parts showingIn the theory of biorhythms, a sine function of the form P(t) = 50 sin (t) + 50 is used to measure thepercent P of a person's potential at time t, where t is measured in days and t=0 is the person'sbirthday. Three characteristics are commonly measured: physical potential with a period of 23days, emotional potential with a period of 28 days, and intellectual potential with a period of 33days.(a) Fing for each characteristic. Recall that the period of the sine function in way is given by CO2xSince the period of physical potential is 23 days, solve 23 for 0.2π-=232m = 23002π23= 00Find for emotional potential similarly, using the period of 28 days.2m-28002= 2802m28*14Find for intellectual potential similarly, using the period of 33 days.2n33= 00332π = 33002mMultiply both sides byDivide both sides by 23.= 00(b) Using a graphing utility, graph all three functions on the same screen. The correct graph isshown below in a [0,50,10] by [0,100,10] viewing window.M(c) Since the periods 23, 28, and 33 are relatively prime, there is not a time t when all threecharacteristics have 100% potential.(d) Suppose that a person is 52 years old today (t = 18,993 days). Describe this person's physical,emotional, and intellectual potential for the next 30 days. To examine behavior, set the valuesXmin = 18,993 and Xmax = 19,023 on a graphing calculator.Now use the maximum function of the graphing calculator to find the time that each potentialpeaks.The next time this person's physical potential peaks is 11 days after the person's birthday.The next time this person's emotional potential peaks is 26 days after the person's birthday.The next time this person's intellectual potential peaks is 24 days after the person's birthday. In the theory of biorhythms, a sine function of the form P(t) = 50 sin (t) + 50 is used to measure the percentP of a person's potential at time t, where t is measured in days and t=0 is the person's birthday. Threecharacteristics are commonly measured: physical potential with a period of 23 days, emotional potentialwith a period of 28 days, and intellectual potential with a period of 33 days.(a) Find for each characteristicFor physical potential, co(Simplify your answer. Type an exact answer in terms of Use integers or fractions for any numbers in theexpression.)2xFor emotional potential, =(Simplify your answer. Type an exact answer in terms of Use integers or fractions for any numbers in theexpression.)CIT2t33(Simplify your answer. Type an exact answer in terms of x. Use integers or fractions for any numbers in theexpression.)For intellectual potential, =(b) Using a graphing utility, graph all three functions on the same screen. Choose the correct answerbelow. All graphs are shown in [0,50,10] by [0,100,10] viewing windows.OAO.B.QXXXX XXXX² M ₁Yes; t =(c) is there a time t when all three characteristics have 100% potential? When is it?B. NoVXXXX(d) Suppose that a person is 44 years old today (t = 16,071 days). Describe this person's physical,emotional, and intellectual potential for the next 30 days.The next time this person's physical potential peaks is days after the person's birthday.(Round up to the nearest day.)Q

Question

Lik the example i attachedI need the answer for all part of D  i tick the questionI need answer for d as in example View an example | All parts showingIn the theory of biorhythms, a sine function of the form P(t) = 50 sin (t) + 50 is used to measure thepercent P of a person's potential at time t, where t is measured in days and t=0 is the person'sbirthday. Three characteristics are commonly measured: physical potential with a period of 23days, emotional potential with a period of 28 days, and intellectual potential with a period of 33days.(a) Fing for each characteristic. Recall that the period of the sine function in way is given by CO2xSince the period of physical potential is 23 days, solve 23 for 0.2π-=232m = 23002π23= 00Find for emotional potential similarly, using the period of 28 days.2m-28002= 2802m28*14Find for intellectual potential similarly, using the period of 33 days.2n33= 00332π = 33002mMultiply both sides byDivide both sides by 23.= 00(b) Using a graphing utility, graph all three functions on the same screen. The correct graph isshown below in a [0,50,10] by [0,100,10] viewing window.M(c) Since the periods 23, 28, and 33 are relatively prime, there is not a time t when all threecharacteristics have 100% potential.(d) Suppose that a person is 52 years old today (t = 18,993 days). Describe this person's physical,emotional, and intellectual potential for the next 30 days. To examine behavior, set the valuesXmin = 18,993 and Xmax = 19,023 on a graphing calculator.Now use the maximum function of the graphing calculator to find the time that each potentialpeaks.The next time this person's physical potential peaks is 11 days after the person's birthday.The next time this person's emotional potential peaks is 26 days after the person's birthday.The next time this person's intellectual potential peaks is 24 days after the person's birthday. In the theory of biorhythms, a sine function of the form P(t) = 50 sin (t) + 50 is used to measure the percentP of a person's potential at time t, where t is measured in days and t=0 is the person's birthday. Threecharacteristics are commonly measured: physical potential with a period of 23 days, emotional potentialwith a period of 28 days, and intellectual potential with a period of 33 days.(a) Find for each characteristicFor physical potential, co(Simplify your answer. Type an exact answer in terms of Use integers or fractions for any numbers in theexpression.)2xFor emotional potential, =(Simplify your answer. Type an exact answer in terms of Use integers or fractions for any numbers in theexpression.)CIT2t33(Simplify your answer. Type an exact answer in terms of x. Use integers or fractions for any numbers in theexpression.)For intellectual potential, >=(b) Using a graphing utility, graph all three functions on the same screen. Choose the correct answerbelow. All graphs are shown in [0,50,10] by [0,100,10] viewing windows.OAO.B.QXXXX XXXX² M ₁Yes; t =(c) is there a time t when all three characteristics have 100% potential? When is it?B. NoVXXXX(d) Suppose that a person is 44 years old today (t = 16,071 days). Describe this person's physical,emotional, and intellectual potential for the next 30 days.The next time this person's physical potential peaks is days after the person's birthday.(Round up to the nearest day.)Q

Accepted Answer

The graphing window of a graphing utility should be adjusted to get a clear graph. The maximum…