Find a unit vector that is tangent to the vector function F(t) = < 4t + 5,3t2 – 10t > at t = 1. Step 1: take derivative with respect to t Step 2: plug in 1 Step 3: unify the vector Rationalize the denominator. Write in the correct vector form. Write "sqrt(a)" for the square root of a, and write "/" for the fraction. Do not use "space".

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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Find a unit vector that is tangent to the vector function
F (t) = < 4t + 5,3t2 – 10t > at t = 1.
Step 1: take derivative with respect to t
Step 2: plug in 1
Step 3: unify the vector
Rationalize the denominator. Write in the correct vector form. Write
"sqrt(a)" for the square root of a, and write "/" for the fraction. Do not use
"space".
Transcribed Image Text:Find a unit vector that is tangent to the vector function F (t) = < 4t + 5,3t2 – 10t > at t = 1. Step 1: take derivative with respect to t Step 2: plug in 1 Step 3: unify the vector Rationalize the denominator. Write in the correct vector form. Write "sqrt(a)" for the square root of a, and write "/" for the fraction. Do not use "space".
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