/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 47 Use a graphing utility to graph ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Problem 47

Use a graphing utility to graph the exponential function. $$s(t)=2 e^{0.12 t}$$

Short Answer

Expert verified
The graphed exponential function \(s(t)=2e^{0.12t}\) is an upward sloping curve starting at the y-axis, indicating a continuous growth rate of 0.12.

Step by step solution

01

Inputting the Function

You will need to input the function into the graphing utility. In this scenario, you are dealing with the function \(s(t)=2e^{0.12t}\). It's crucial that this formula is entered correctly, ensuring the correct usage of brackets and raised powers.
02

Using the Graphing Utility

After entering the function, use the graphing utility to plot the function. The graphing utility will provide a visual representation of the function. You can adjust the domain and range in the graphing settings to be able to better observe the visualization of the function.
03

Understanding the Graph

The graph of function \(s(t)=2e^{0.12t}\) is an upward sloping curve that starts to the right of the y-axis and increases as \(t\) increases. This is a characteristic of exponential functions. The number 2 in the function is the initial value of the equation, representing where the graph begins on the y-axis. The decimal 0.12 is the growth rate expressed in terms of exponential growth.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Evaluate \(g(x)=\ln x\) at the indicated value of \(x\) without using a calculator. $$x=e^{-5 / 2}$$

Using the One-to-One Property In Exercises \(73-76,\) use the One-to-One Property to solve the equation for \(x\). .\(r\)\ln \left(x^{2}-2\right)=\ln 23$

Rewrite each verbal statement as an equation. Then decide whether the statement is true or false. Justify your answer. The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.

Home Mortgage The total interest \(u\) paid on a home mortgage of \(P\) dollars at interest rate \(r\) for \(t\) years is $$u=P\left[\frac{r t}{1-\left(\frac{1}{1+r / 12}\right)^{12 t}}-1\right]$$ Consider a \(\$ 120,000\) home mortgage at \(7 \frac{1}{2} \%\) (a) Use a graphing utility to graph the total interest function. (b) Approximate the length of the mortgage for which the total interest paid is the same as the size of the mortgage. Is it possible that some people are paying twice as much in interest charges as the size of the mortgage?

The graph of \(f(x)=\log _{3} x\) contains the point \((27,3)\)
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.