Your answer is partially correct. Is the given function exponential? If so, identify the initial value and the growth factor. Q = t. 11⁹ If the function is not exponential, enter NA for the initial value and the growth factor. The given function is not exponential. The initial value is The growth factor is e Textbook and Media Hint A quantity Q is an exponential function of t if it can be written as Q = f(t) = a b', a and b constants, a 0, b > 0. Here, a is the initial value and b is the growth factor. We sometimes call b the base. Q Search VA

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Question:**

Is the given function exponential? If so, identify the initial value and the growth factor.

\[ Q = t \cdot 11^9 \]

If the function is not exponential, enter NA for the initial value and the growth factor.

**Options:**

- The given function [is/is not] exponential.

**Input Fields:**

- The initial value is [____]
- The growth factor is [____]

**Additional Resources:**

**eTextbook and Media**

**Hint:**

A quantity \( Q \) is an exponential function of \( t \) if it can be written as:

\[ Q = f(t) = a \cdot b^t, \]

where \( a \) and \( b \) are constants, \( a \neq 0 \), \( b > 0 \).

Here, \( a \) is the initial value, and \( b \) is the growth factor. We sometimes call \( b \) the base.
Transcribed Image Text:**Question:** Is the given function exponential? If so, identify the initial value and the growth factor. \[ Q = t \cdot 11^9 \] If the function is not exponential, enter NA for the initial value and the growth factor. **Options:** - The given function [is/is not] exponential. **Input Fields:** - The initial value is [____] - The growth factor is [____] **Additional Resources:** **eTextbook and Media** **Hint:** A quantity \( Q \) is an exponential function of \( t \) if it can be written as: \[ Q = f(t) = a \cdot b^t, \] where \( a \) and \( b \) are constants, \( a \neq 0 \), \( b > 0 \). Here, \( a \) is the initial value, and \( b \) is the growth factor. We sometimes call \( b \) the base.
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