   Chapter 12.1, Problem 9E

Chapter
Section
Textbook Problem

# Evaluating a function In Exercises 11 and 12 evaluate the vector valued function at each of the given value of t. r ( t ) = 1 2 t 2 i − ( t − 1 ) j (a)r(1).(b)r(0)(C)r(s+1)(d) r ( 2 + Δ t ) − r ( 2 ) Evaluating a function In Exercises 11 and 12 evaluate the vector valued function at each of the given value of t. r ( t ) = 1 2 t 2 i − ( t − 1 ) j (a)r(1).(b)r(0)(C)r(s+1)(d) r ( 2 + Δ t ) − r ( 2 )

To determine

To calculate: The value of the vector function r(t)=12t2i(t1)j at the given value of t

r(1)

r(0)

r(s+1)

r( 2+Δt)−r(2).

Explanation

Given: Vector function: r(t)=12t2i(t1)j

r(1)

r(0)

r(s+1)

r( 2+Δt)−r(2)

Calculation:

Consider t as 1,0, s+1, 2+Δt, and 2 in order to determine the vector value:

r(1)=1212i(11)j=i2

r(0)=1202i(01)j=j

r(s+1)=12(s+1

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