B. Solve the following problems. 1. A variable star is a star whose brightness fluctuates as observed from Earth. The magnitude of visual brightness of one variable star ranges from 2.0 to 10.1, and it takes 332 days to observe one maximum brightness to the next. Assuming that the visual brightness of the star can be modeled by the equation y = a sin b(t -c) + d, t in days, and putting t = 0 at a time when the star is at its maximum brightness, find the constants a, b, c, and d, where a, b > 0 and c the least nonnegative number possible.

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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B. Solve the following problems.
1. A variable star is a star whose brightness fluctuates as observed from
Earth. The magnitude of visual brightness of one variable star ranges from
2.0 to 10.1, and it takes 332 days to observe one maximum brightness to
the next. Assuming that the visual brightness of the star can be modeled
by the equation y = a sin b(t -c) + d, t in days, and putting t = 0 at a time
when the star is at its maximum brightness, find the constants a, b, c, and
d, where a, b > 0 and c the least nonnegative number possible.
Transcribed Image Text:B. Solve the following problems. 1. A variable star is a star whose brightness fluctuates as observed from Earth. The magnitude of visual brightness of one variable star ranges from 2.0 to 10.1, and it takes 332 days to observe one maximum brightness to the next. Assuming that the visual brightness of the star can be modeled by the equation y = a sin b(t -c) + d, t in days, and putting t = 0 at a time when the star is at its maximum brightness, find the constants a, b, c, and d, where a, b > 0 and c the least nonnegative number possible.
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