Use the properties of the derivative to find the following. r(t) = ti + 5tj + t?k, u(t) = 5ti + t³j + t³k (a) r'(t) i+5j+ 2fk (b) ar(t) – u(e)] -2i+ (15 – 21)j + (6t – 3² )k |

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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hello I will like the answer for question (c) and (e).

Use the properties of the derivative to find the following.
r(t) = ti + 5tj + tk, u(t) = 5ti + t2j + t°k
(a) r'(t)
i+ 5j + 2fk
(b) ar(t) - u())
-2i+ (15 – 21)j + (61 – 32 )k
30fi + 9j + 12°k
(d) r(e) · u(t)]
10f + 15r + 54
(e) re) * u(t)]
16i + (157 + 4)j – (3? – 50:).
Transcribed Image Text:Use the properties of the derivative to find the following. r(t) = ti + 5tj + tk, u(t) = 5ti + t2j + t°k (a) r'(t) i+ 5j + 2fk (b) ar(t) - u()) -2i+ (15 – 21)j + (61 – 32 )k 30fi + 9j + 12°k (d) r(e) · u(t)] 10f + 15r + 54 (e) re) * u(t)] 16i + (157 + 4)j – (3? – 50:).
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