Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 11: Q. 36 (page 860)

Evaluate and simplify the indicated quantities in Exercises 35–41.
(1,t,t2)-(t,t2,t3)

Short Answer

Expert verified

The simplification of (1,t,t2)-(t,t2,t3)is (1-t,t(1-t),t2(1-t)).

Step by step solution

01

Step 1. Given Information.

The quantities:

(1,t,t2)-(t,t2,t3)

02

Step 2. Subtract the appropriate terms.

By subtracting the terms, we get,

(1,t,t2)-(t,t2,t3)=(1-t,t-t2,t2-t3)=(1-t,t(1-t),t2(1-t))

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

Find and graph the vector function determined r(t)=⟨x(t),y(t)⟩by the differential equation

x′(t)=−y,y′(t)=x,x(0)=1,y(0)=0. ( HINT: What familiar pair of functions have the given properties ?)

If α, β, and γare nonzero constants, the graph of a vector function of the formrole="math" localid="1649577570077" rt=αt,βt2,γt3 is called a twisted cubic. Prove that a twisted cubic intersects any plane in at most three points.

Lett=f(τ)beadifferentiablereal-valuedfunctionofτ,andletr(t)beadifferentiablevectorfunctionwitheithertwoorthreecomponentssuchthatf(τ)isinthedomainofrforeveryvalueofτonsomeintervalI.Finddrfτdτ.

Evaluate the limits in Exercises 42–45.

limt→1-(lnt,et-1t-1,et)

Under what conditions does a differentiable vector-valued functionr(t) not have a unit tangent vector at a point in the domain of r(t)?
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Discrete 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.

Sign-up for free