d d. Calculate[r₁(t) · r2(t)] and [r₁(t) × r²(t)] first by differentiating dt the product directly and then by applying the formulas d dr₂ dr₁ [r₁(t) · r₂(t)] = r₁(t) .. + r₂(t) and dt dt dt d dr2 dr₁ [r₁(t) × r₂(t)] = r₁(t) × · + x r₂(t). dt dt dt r₁(t) = cos(t)i + sin(t)j +4tk, r₂(t) = 3i+ tk d [r₁(t) · r₂(t)] = [3 i + tk X dt dri(t) [r₁(t) x r₂(t)] = 3i+7k X

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...
icon
Related questions
Question
d
d.
Calculate[r₁(t) · r2(t)] and [r₁(t) × r²(t)] first by differentiating
dt
the product directly and then by applying the formulas
d
dr₂ dr₁
[r₁(t) · r₂(t)] = r₁(t) .. + r₂(t) and
dt
dt dt
d
dr2
dr₁
[r₁(t) × r₂(t)] = r₁(t) × · + x r₂(t).
dt
dt dt
r₁(t) = cos(t)i + sin(t)j +4tk, r₂(t) = 3i+ tk
d
[r₁(t) · r₂(t)] = [3 i + tk
X
dt
dri(t)
[r₁(t) x r₂(t)] = 3i+7k
X
Transcribed Image Text:d d. Calculate[r₁(t) · r2(t)] and [r₁(t) × r²(t)] first by differentiating dt the product directly and then by applying the formulas d dr₂ dr₁ [r₁(t) · r₂(t)] = r₁(t) .. + r₂(t) and dt dt dt d dr2 dr₁ [r₁(t) × r₂(t)] = r₁(t) × · + x r₂(t). dt dt dt r₁(t) = cos(t)i + sin(t)j +4tk, r₂(t) = 3i+ tk d [r₁(t) · r₂(t)] = [3 i + tk X dt dri(t) [r₁(t) x r₂(t)] = 3i+7k X
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning