Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 11: Q.56 (page 873)

r1

Short Answer

Expert verified

hdxjggx

Step by step solution

01

step 1

hdjfs

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

For each of the vector-valued functions, find the unit tangent vector.

r(t2)=(t2+5,5t,4t3)

Evaluate the limits in Exercises 42–45.

limt→0+(sintt,1-costt,(1+1t)t)

In Exercises 19–21 sketch the graph of a vector-valued function r(t)=x(t),y(t) with the specified properties. Be sure to indicate the direction of increasing values oft.

Domain

t∈ℝ,r2=1,1,r0=-3,3,r-2=-5,-5limt→-∞x(t)=∞,limt→-∞y(t)=-∞,andlimt→∞r(t)=0,0.

Let f(t)be a differentiable scalar function and r(t)be a differentiable vector function. Prove that ddt(f(t)r(t))=f'(t)r(t)+f(t)r'(t). (This is Theorem 11.11 (b).)

For each of the vector-valued functions in Exercises, find the unit tangent vector and the principal unit normal vector at the specified value of t.

rt=sin2t,cos2t,t,t=π4
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Logic and Functions

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

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