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Find all the values of t so that 9eBt > 0. Ot≥0 00 21/1/20 Ot< 1/1/2 9 -00 < t < 00

Find all the values of t so that 9eBt > 0. Ot≥0 00 21/1/20 Ot< 1/1/2 9 -00 < t < 00

Calculus: Early Transcendentals
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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**Question:** Find all the values of \( t \) so that \( 9e^{Bt} > 0 \). **Options:** - ○ \( t \geq 0 \) - ○ \( 0 < t < \infty \) - ○ \( t > \frac{1}{9} \) - ○ \( t < \frac{1}{9} \) - ○ \( -\infty < t < \infty \) **Explanation:** In this question, we are asked to identify the range of values for \( t \) that satisfy the inequality \( 9e^{Bt} > 0 \). The expression involves an exponential function, which is always positive regardless of the value of \( B \) or \( t \), as long as the exponent itself is well-defined. Since \( 9e^{Bt} \) is positive for all real numbers \( t \) (because both 9 and the exponential function are always positive), the correct option is: - ○ \( -\infty < t < \infty \)
Transcribed Image Text:**Question:** Find all the values of \( t \) so that \( 9e^{Bt} > 0 \). **Options:** - ○ \( t \geq 0 \) - ○ \( 0 < t < \infty \) - ○ \( t > \frac{1}{9} \) - ○ \( t < \frac{1}{9} \) - ○ \( -\infty < t < \infty \) **Explanation:** In this question, we are asked to identify the range of values for \( t \) that satisfy the inequality \( 9e^{Bt} > 0 \). The expression involves an exponential function, which is always positive regardless of the value of \( B \) or \( t \), as long as the exponent itself is well-defined. Since \( 9e^{Bt} \) is positive for all real numbers \( t \) (because both 9 and the exponential function are always positive), the correct option is: - ○ \( -\infty < t < \infty \)
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