Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 16: Problem 29

Subtract \(5 e^{0.2 t}\) from \(6 e^{2.3 t}\). a) \(-0.903+3.481 i\) c) \(-8.898-5.468 i\) b) \(-8.898+3.48 \mathrm{l} i\) d) \(-0.903-5.468 i\)

Short Answer

Expert verified
Question: Subtract the functions \(5 e^{0.2 t}\) and \(6 e^{2.3 t}\) and identify the correct option from the list of complex numbers. Answer: The subtraction of the given exponential functions does not result in a complex number. Therefore, there is no correct option among those provided in the list.

Step by step solution

01

Subtract the exponential functions

To subtract the exponential functions, simply subtract one from the other as follows: \(6 e^{2.3 t} - 5 e^{0.2 t}\)
02

Analyze the result

Notice that after subtracting the functions, we have no further simplification in this equation, and we cannot combine these terms because their exponents are different.
03

Compare the result to given options

We are given four complex number options as the result, which means the problem is formulated incorrectly. It is important to note that the result of subtracting two exponential functions does not result in a complex number. However, since we are looking for an answer based on given options, we can conclude that there is no correct answer among these choices. The exercise is flawed, and the correct answer cannot be found using the given options.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

A \(100-\mathrm{m}\)-long track is to be built \(50 \mathrm{~m}\) wide. If it is to be elliptical, what equation could describe it if the 100 -m length is along the \(x\)-axis? a) \(50 x^{2}+100 y^{2}=1000\) c) \(4 x^{2}+y^{2}=2500\) b) \(2 x^{2}+y^{2}=250\) d) \(x^{2}+2 y^{2}=250\)

Evaluate \(2 \int_{0}^{1} e^{x} \sin x d x\) a) \(1.82\) b) \(1.94\) c) \(2.05\) d) \(2.16\)

Express \(2 \sin ^{2} \theta\) as a function of \(\cos 2 \theta\). a) \(\cos 2 \theta-1\) b) \(\cos 2 \theta+1\) c) \(\cos 2 \theta+2\) d) \(1-\cos 2 \theta\)

Evaluate \(\int_{0}^{2}\left(e^{x}+\sin x\right) d x\) a) \(7.81\) b) \(6.21\) c) \(5.92\) d) \(5.61\)

\(\sqrt{4+x}\) can be written as the series a) \(2-\frac{x}{4}+\frac{x^{2}}{64}+\cdots\) c) \(2-\frac{x^{2}}{4}-\frac{x^{4}}{64}+\cdots\) b) \(2+\frac{x}{8}-\frac{x^{2}}{128}+\cdots\) d) \(2+\frac{x}{4}-\frac{x^{2}}{64}+\cdots\)
See all solutions

Recommended explanations on Physics Textbooks

Conservation of Energy and Momentum

Read Explanation

Kinematics Physics

Read Explanation

Magnetism and Electromagnetic Induction

Read Explanation

Fundamentals of Physics

Read Explanation

Engineering Physics

Read Explanation

Solid State Physics

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.

Sign-up for free