f. ā(0)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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18f

**Problem 18:**

Given the vector function \(\vec{r}(t) = \langle \sin t, \, t, \, \cos t \rangle\), find:

[Note: The problem likely involves finding derivatives, curvature, or other properties related to vector functions, though the specific task isn't provided in this image excerpt.]
Transcribed Image Text:**Problem 18:** Given the vector function \(\vec{r}(t) = \langle \sin t, \, t, \, \cos t \rangle\), find: [Note: The problem likely involves finding derivatives, curvature, or other properties related to vector functions, though the specific task isn't provided in this image excerpt.]
The image contains mathematical notation:

**f. →a(0)**

This notation represents a function `f` applied to a vector `→a` at the point where its argument is 0. The arrow above `a` typically indicates that it is a vector. This expression might be used in calculus, physics, or other mathematical contexts to analyze specific properties of the function with respect to vectors.
Transcribed Image Text:The image contains mathematical notation: **f. →a(0)** This notation represents a function `f` applied to a vector `→a` at the point where its argument is 0. The arrow above `a` typically indicates that it is a vector. This expression might be used in calculus, physics, or other mathematical contexts to analyze specific properties of the function with respect to vectors.
Expert Solution
Step 1

Obtain the velocity vector as shown below:

vt=ddtrtvt=ddtsint,t,costvt=cost,1,-sint

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