   Chapter 12.1, Problem 11E

Chapter
Section
Textbook Problem

# Evaluating a Function In Exercises 9–12, evaluate (if possible) the vector-valued function at each given value of t. r ( t ) = ln   t i + 1 t j + 3 t k r ( 2 ) r ( − 3 ) r ( t − 4 ) r ( 1 + Δ t ) − r ( 1 )

(a)

To determine

To calculate: The vector value r(2) of the function, r(t)=lnti+1tj+3tk.

Explanation

Given:

The vector value function, r(t)=lnti+1tj+3tk. The value, r(2).

Calculation:

Consider the provided series,

r(t)=lnti+1tj+3tk

The value of function t=2

(b)

To determine

To calculate: The vector value r(3) of the function, r(t)=lnti+1tj+3tk.

(c)

To determine

To calculate: The vector value r(t4) of the function, r(t)=lnti+1tj+3tk.

(d)

To determine

To calculate: The vector value r(1+Δt)r(1) of the function, r(t)=lnti+1tj+3tk.

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