Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Test Prep Workbook Update
5th Edition
ISBN: 9780328909148
Author: Prentice Hall
Publisher: Prentice Hall
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Answer number 7
Graph the equation for values of x between 0° and 360° in multiples of 15°.
y = cos(2x)
The x y-coordinate plane is given. The curve begins at the point (0°, 1), goes down and right, crosses the x-axis at x = 90°, changes direction at the point (180°, −1), goes up and right, crosses the x-axis at x = 270°, and ends at the point (360°, 1).
The x y-coordinate plane is given. The curve begins at the point (0°, 2), goes down and right, crosses the x-axis at x = 90°, changes direction at the point (180°, −2), goes up and right, crosses the x-axis at x = 270°, and ends at the point (360°, 2).
The x y-coordinate plane is given. The curve begins at the origin, goes down and right, changes direction at the point (90°, −1), goes up and right, crosses the x-axis at x = 180°, changes direction at the point (270°, 1), goes down and right, and ends at the point (360°, 0).
The x y-coordinate plane is given. The curve begins at the point (0°, 1), goes down and right, crosses the…
The temperature of a chemical reaction oscillates between a low of 20∘C and a high of 100∘C. The temperature is at its lowest point when t=0 and completes one cycle over a five-hour period.
Find the period, the amplitude, and the midline of the graph
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- A Ferris wheel is 29 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 12 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 the exact answers. Amplitude: A = Number Midline: h Period: P = Number = Number meters meters minutes b. Assume that a person has just boarded the 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).arrow_forwardIdentify the amplitude, midline, period, of the following function and then write its equation using sine or cosine. Amplitude = Midline = Period = Equation: f(x)%3= 8. f(x) 2-- 10 15 2025 30 35 40 IT: -2-arrow_forwardDescribe the relationship between the graphs of y = A cos(Bx - C) and y = A cos(Bx - C) + D.arrow_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_forwardthe periou aHU amplitude. 3. The average temperature in Detroit, Michigan on any given day of the year can be modeled by T(t) = 27 sin(0.0172(t- 115) + 50, where T is the temperature in degrees Fahrenheit and t is the number of days elapsed since January 1st. (a) State the period (in days), the amplitude, the vertical shift, and the phase shift. Interpret all four of these in the context of the real-world situation being modeled.arrow_forwardIn whoville, the amount of rainfall varies greatly each week and follows a sinusoidal pattern. The following data is the recorded millimeters (mm) of precipitation across 14 weeks. Determine a sine and a cosine function that approximates the amount of rainfall over time in weeks. Decimals are allowed. Week 1, rainfall(mm) - 1.4 Week 2, rainfall(mm) - 3.1 Week 3, rainfall(mm) - 4.3 Week 4, rainfall(mm) - 2.9 Week 5, rainfall(mm) - 1.2 Week 6, rainfall(mm) - 0.1 Week 7, rainfall(mm) - 1.3 Week 8, rainfall(mm) - 2.7 Week 9, rainfall(mm) - 4.3 Week 10, rainfall(mm) - 3.2 Week 11, rainfall(mm) - 1.1 Week 12, rainfall(mm) - 0.2 Week 13, rainfall(mm) - 1.2 Week 14, rainfall(mm) - 2.8arrow_forward
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