2. The voltage coming from the electricity distribution company is fluc-tuating according to the function Vt) = 200 + 170(sin 376.99t)attime t seconds.a. Determine the first time it takes to reach 300 voltsb. Determine the first time it takes to reach 150 volts

Answered: Image /qna-images/answer/56ca2ec0-ba9c-4fe6-823d-5c63047daf18.jpg

Answered: 2. The voltage coming from the…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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3. A Ferris wheel of diameter 18.5 m rotates at a rate of 0.2 rad/s. If passengers board the lowest car at a height of 3 m above the ground, determine a cosine function that models the height, h, in metres, of the car relative to the ground as a function of the time, t, in seconds. ✓✓✓
The San Francisco Bay tides vary between 1 foot and 7 feet. The tide is at its lowest point when time (t) is 0 and completes a full cycle in 8 hours. What is the amplitude, period, and midline of a function that would model this periodic phenomenon? A. Amplitude = 6 feet; period = 8 hours; midline: y = 4 B. Amplitude = 6 feet; period = 4 hours; midline: y = 3 C. Amplitude = 3 feet; period = 8 hours; midline: y = 4 D. Amplitude = 3 feet; period = 4 hours; midline: y = 3
The London Eye is an observation wheel with a radius of 78 m. Rides consist of one complete revolution, which takes 40 minutes, and begin on a platform 4 m above the ground. The height, h(t), in metres, of a rider above the ground as a function of time, t, in minutes, can be expressed as h(t) = a sin[b(t— c)] + d. Oh(t) = 39 sin Oh(t) = 39 sin 7 40 Which of the following equations could represent the function h(t) ? (t — 7.5)] + 82 7 40 20 Height (m) Oh(t) = 78 sin Oh(t) = 78 sin(t - 7.5)] (t - 7.5)] h 0 (t — 7.5)] + 78 (0,4) +82 + 78 15 Time (min) 30
The velocity v of blood at a valve in the heart of a certain animal is modeled by the equation v= -2 cos (5xt) + 2, where v is in centimeters per second and t is time in seconds. a. What are the maximum and minimum velocities of the blood at this valve? b. What is the animal's heart rate in beats per minute? a. The maximum velocity of the blood at this valve is cm/sec and the minimum velocity of the blood at this valve is b. The animal's heart rate in beats per minute is cm/sec.
T/6 sin t dt cost 39.
The height of a buoy on a lake is changing during a storm. The height's rate of change can be modeled by r(t) = 0.5 cos(0.2t) feet per second where t is measured in seconds. Is the buoy's height increasing or decreasing at time t = 10 seconds? Why?
find instantaneous rate of change at 75 seconds
3. Find the total shaded area, given that r = 1.4 inches, 6 = 288°, and the small circles (Pac- dots) have radius 0.22 in. Express your answers both as a function of a and as a number rounded to 2 decimal places. Include units with both answers.

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2. The voltage coming from the electricity distribution company is fluc- tuating according to the function V(t) = 200 + 170(sin 376.99 t) at %3D time t seconds. a. Determine the first time it takes to reach 300 volts b. Determine the first time it takes to reach 150 volts