1. Calculate the velocity, speed, and direction: r(t) = (2 − 5t³)i + 7t²j + (1 − t¹)k d d d 2. Solve: a) & (u + 2v), & (u · v), đ (u × v), by using: dt dt dt u(t) = 2ti + 4k, v(t) = i + 2tj + 3t²k

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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1. Calculate the velocity, speed, and direction:
-
r(t) = (2 − 5t³)i + 7t²j + (1 − tª) k
-
d
d
d
dt
dt
2. Solve: a) & (u + 2v), & (u.v), & (u × v), by using:
u(t) = 2ti + 4k, v(t) = i + 2tj + 3t²k
dt
Transcribed Image Text:1. Calculate the velocity, speed, and direction: - r(t) = (2 − 5t³)i + 7t²j + (1 − tª) k - d d d dt dt 2. Solve: a) & (u + 2v), & (u.v), & (u × v), by using: u(t) = 2ti + 4k, v(t) = i + 2tj + 3t²k dt
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