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For the vector-valued function r(t) = t³i + (2t² + 1)j + (3t − 6)k find the following and express your solution in the standard unit vector notation 1. r' (t) = 3t² i + 4tj + 3k 2. r" (t) = 6ti + 4j+0k 3. r' (t) · r" (t) = 18t³ + 16t

For the vector-valued function r(t) = t³i + (2t² + 1)j + (3t − 6)k find the following and express your solution in the standard unit vector notation 1. r' (t) = 3t² i + 4tj + 3k 2. r" (t) = 6ti + 4j+0k 3. r' (t) · r" (t) = 18t³ + 16t

Calculus: Early Transcendentals
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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For the vector-valued function r(t) = t³i + (2t² + 1)j + (3t − 6)k find the following and express your solution in the standard unit vector notation 3t² i + 4tj + 3k 6ti + 4j + 0k 1. r' (t): - 2.r"(t) 3. r' (t) · r" (t) = 18t³ + 16t 4. r' (t) * r"(t) = −12i - 6tj - 12t²k =
Transcribed Image Text:For the vector-valued function r(t) = t³i + (2t² + 1)j + (3t − 6)k find the following and express your solution in the standard unit vector notation 3t² i + 4tj + 3k 6ti + 4j + 0k 1. r' (t): - 2.r"(t) 3. r' (t) · r" (t) = 18t³ + 16t 4. r' (t) * r"(t) = −12i - 6tj - 12t²k =
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