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Chapter Trigonometric Functions, Question Problem 25AYU
Precalculus 10 by Michael Sullivan
Precalculus 10 Edition
Author:
Michael Sullivan
Edition:
10
ISBN:
9780321979070
Publisher:
PEARSON
Subject:
Pre-Calculus
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Chapter Trigonometric Functions, Question Problem 25AYU

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We know that . Use a calculator and the conversion factors above to obtain: .
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Texts: A graphing calculator is recommended. A quadratic function is given. f(x) = -x^2 + x - 3. a) Use a graphing device to find the maximum or minimum value of the quadratic function f, rounded to two decimal places. The x-value of f is x = 0.50. b) Find the exact maximum or minimum value of f and compare it with your answer to part a.
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time. These functions can be used to model various real-world phenomena such as population growth, radioactive decay, and compound interest. In exponential growth functions, the value of b is greater than 1, indicating that the quantity is increasing over time. The growth rate, k, determines how quickly the quantity is increasing. A larger value of k results in faster growth. On the other hand, exponential decay functions have a value of b between 0 and 1, indicating that the quantity is decreasing over time. The decay rate, k, determines how quickly the quantity is decreasing. A larger value of k results in faster decay. To solve problems involving exponential growth or decay, we can use the formula F(t)=A_(0)*b^(kt). We can substitute the given values for A_(0), b, k, and t into the formula to find the value of F(t). In some cases, we may need to find the value of k or t when given the initial amount, A_(0), and the final amount, F(t). To do this, we can rearrange the formula and solve for the desired variable. It is important to note that exponential growth and decay functions assume continuous growth or decay. In reality, many phenomena may experience fluctuations or other factors that affect the growth or decay rate. However, exponential functions provide a useful approximation for many real-world situations. In summary, exponential growth and decay functions are powerful tools for modeling various phenomena. By understanding the formula and properties of these functions, we can analyze and solve problems related to population growth, radioactive decay, and compound interest.
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Question Text
Chapter Trigonometric Functions, Question Problem 25AYU
TopicAll Topics
SubjectPre Calculus
ClassClass 11
Answer TypeText solution:1