   Chapter 12, Problem 21RE

Chapter
Section
Textbook Problem
1 views

# Higher-Order Differentiation In Exercise 21 and 22, find (a) r'(t), (b) r'(t). (c) r’(t) • r’(t), and (d) r ' ( t ) × r " ( t ) . r ( t ) = 2 t 3 i + 4 t j − t 2 k

(a)

To determine

To calculate: The differentiation, r(t) of the vector-valued function, r(t)=2t3i+4tjt2k.

Explanation

Given:

The vector-valued function is, r(t)=2t3i+4tjt2k.

Formula used:

The differentiation, ddx(xn)=nxn1.

Calculation:

Consider the vector-valued function,

r(t)=2t3i+4t

(b)

To determine

To calculate: The value of r(t) for vector-valued function is r(t)=2t3i+4tjt2k.

(c)

To determine

To calculate: The value of r(t)r(t) for vector-valued function is r(t)=2t3i+4tjt2k.

(d)

To determine

To calculate: The value of r(t)×r(t) for vector-valued function is, r(t)=2t3i+4tjt2k.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 