Outside temperature over a day can be modelled using a sine or cosine function. Suppose you know thehigh temperature for the day is 59 degrees and the low temperature of 31 degrees occurs at 3 AM.Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.D(t) =

In equation we are equating two sides left hand side and right hand side. It contains variable,…

Answered: Outside temperature over a day can be…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A puffin population oscillates 60 above and below an average of 480 puffins during the year, hitting the lowest value in January (t = 0). a. Draw a graph of the puffin population for at least one year. Carefully labet the amplitude, the midline and the period. b. Find an equation for the puffin population, P, in terms of the months since January, t. c. Find a different equation for the puffin population if the lowest value of the puffin population occurred in March (not January).
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A ferris wheel is 27 meters in diameter and completes 1 full revolution in 8 minutes. A ferris wheel is 27 meters in diameter and boarded from a platform that is 1 meter above the ground. The 6 o'clock position on the Ferris Wheel is level with the loading platform. Th wheel conpletes 1 full revolution in 8 minutes. The function h(t) gives a person's height in meters above the ground t minutes after the wheel begins to turn. a. Find the amplitude, midline, and period of h(t). Enter exact answers b. Assume that a person has just boarded Ferris wheel from the platform and that the Ferris Wheel starts spinning at time t=0. Find a formula for the height function h(t). Hints: •What is the value of h(0) • Is this the maximum value of h(t), the minimum value of h(t), or a value between the two? • The function sin(t) has a value between its maximum and minimum at t=0, so can h(t) be a straight sine function? • The function cos(t) has its maximum at t=0, so can h(t) be a straight cosine…
The population of arctic foxes in Yukon can be modelled by the following equation: P = 400 cos(30t - 180) + 1100 Where 't' represents the number of years since 1992. a. b. C. d. c. What was the population of arctic foxes in Yukon in 1992? What are the maximum and minimum number of arctic foxes? Sketch a graph that represents how the population of artic foxes changes over time (since 1992). What will be the population of arctic foxes in 2030? When was the first time the population of arctic foxes reached 1300 (since 1992)?
Find the graph and show your solution:
Answer number 7
Determine the equation of the function whose amplitude is half the original function, the period is double the original function, and the new maximum value is 3 less than the old value. Y = 14cos6x+4
Suppose that Tammy's blood pressure can be modeled by the following function. p (t) = 91 + 24 cos (89 nt) 同 Tammy's blood pressure increases each time her heart beats, and it decreases as her heart rests in between beats. In this equation, p(t) is the blood pressure 00 in mmHg (millimeters of mercury), and t is the time in minutes. 民 Find the following. If necessary, round to the nearest hundredth. Amplitude of p : mmHg Number of heartbeats per minute: Period of p : minutes Save For Later Submit Assignment Check 2021 McGraw-Hili Ecucation. AlI Rights Reserved. Terms of Use Privacy Accessibility

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