(a)
The function
(b)
To graph: The sketch of a function given by
(c)
The effect of the frequency of sound when the speed of the ambulance increases.
Want to see the full answer?
Check out a sample textbook solutionChapter 2 Solutions
PRECALCULUS: ALEKS
Additional Math Textbook Solutions
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
Thinking Mathematically (6th Edition)
Introductory Statistics
College Algebra with Modeling & Visualization (5th Edition)
A First Course in Probability (10th Edition)
- Meteorology The normal monthly high temperatures H (in degrees Fahrenheit) in Erie, Pennsylvania, are approximated by Ht=57.5418.53cost614.03sint6 and the normal monthly low temperatures L are approximated by Lt=42.0315.99cost614.32sint6 where t is the time (in months), with t=1 corresponding to January (see figure). (a) What is the period of each function ? (b) During what part of the year is the difference between the normal high and normal low temperatures greatest ? When is it least ? (c) The sun is northernmost in the sky around June 21, but the graph shows the warmest temperatures at a later date. Approximate the lag time of the temperatures relative to the position of the sun.arrow_forwardAnswer number 7arrow_forwardA 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).arrow_forward
- Identify the function with a period of 4 and an amplitude of 2. Function B Function Function D -3 Function A c. Function C d. Function D a. Function A с. b. Function B 3.arrow_forwardDuring a 12.8-hour period, the water level at Bay of Fundy, Nova Scotia, started at mean sea level (h=0), rose to 23.8 ft above sea level, dropped to 23.8 ft below mean sea level, and then returned to mean sea level. Which of the following model describes the height of the tide in ft as a function of time in hours, h(t) ? 23.8 sin (12.8 t) 23.8 sin(12.8 t) 47.6 sin(0.15625 t) 47.6 sin(12.8 t) 23.8 sin(0.15625 t) 47.6 sin (12.8t)arrow_forwardWhat is the Amplitude of the function y= - 5cos(3x- T) ? Select one: 2 3 3 O -5 O 5arrow_forward
- The number of daylight hours in a northem city varies from approximately 4.4 hours on December 21 to 19.9 hours on June 11. The sine function below can be used to approximate the number of daylight hours, y, in the city for day % y=7.8506 sin (0.0165x-1.3066) + 12.1811 a) Approximate the number of daylight hours in the city for April 5 (x= 95), for August 18 (x= 230), and for November 29 (x 333). b) Determine on which days of the year there will be about 12 hours of daylight. a) The number of daylight hours on April 5 is 14.2 hours. The number of daylight hours on August 18 is 17 hours. The number of daylight hours on November 29 is 5.4 hours. (Round to the nearest tenth as needed.) b) There will be about 12 hours of daylight when x = (Round to the nearest whole number as needed. Use a comma to separate answers as needed.)arrow_forwardA 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…arrow_forwardEach time your heart beats, your blood pressure first increases and then decreases as the heart rests between beats. The maximum and minimum blood pressures are called the systolic and diastolic pressures, respectively. Your blood pressure reading is written as systolic/diastolic. A reading of 120/80 is considered normal.A certain person's blood pressure is modeled by the function p(t) = 125 + 25 sin(150(pi)t) where p(t) is the pressure in mmHg (millimeters of mercury), at time t measured in minutes. (a) Find the period of p. min(b) Find the number of heartbeats per minute. heartbeats per minutearrow_forward
- What is the amplitude of the graph y=-3 sin( T(x– 2)) +4? O A. T О В. 4 о С. 2 O D. 3arrow_forwardPls help ASAParrow_forwardLet W = f(u) be the temperature, in °C, of a chemical reaction u hours after the reaction starts. The temperature varies sinusoidally and oscillates between a low of 30 °C and a high temperature of 110°C. The temperature is at its highest point when u = 0 and completes a full cycle over a 4-hour period. a. Find the amplitude, midline and period of f(u). The amplitude of f(u) is The midline of f(u) is The period of f(u) is °C. °C. (Note: you should give an equation for the midline as your answer.) hours. b. Find a formula for the sinusoidal function W = f(u). f(u)=arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning