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Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 16EQ

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### Exponential Growth vs. Exponential Decay

#### Instructions:
Determine whether the given function is an example of exponential growth or exponential decay.

49. \( f(x) = 5e^{-3x} \)

50. \( f(x) = \frac{1}{8} e^{5x} \)

51. \( f(x) = e^{-4x} \)

52. \( f(x) = \frac{1}{6} e^{2x} \)

Each function is formatted in terms of \( e \), the base of the natural logarithm. When determining the nature of these functions:

- **Exponential growth** occurs if the exponent in the function is positive.
- **Exponential decay** occurs if the exponent in the function is negative.

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