Given the vector-valued functions е ú(t) = e5ti + e−4tj + tk - 3ti - 2t²j+ 3k v(t) find d = dt d -(u(t) v(t)) when t dt -(ũ · v)( − 1) = - 1.

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

3.2.3

Given the vector-valued functions
-
е
ū(t) =e5ti + e¯4tj + tk
- 3ti - 2t²j + 3k
v(t)
find
d
=
dt
d
dt
-(ū(t) · v(t)) when t
-(u · v) ( − 1) =
=
- 1.
Transcribed Image Text:Given the vector-valued functions - е ū(t) =e5ti + e¯4tj + tk - 3ti - 2t²j + 3k v(t) find d = dt d dt -(ū(t) · v(t)) when t -(u · v) ( − 1) = = - 1.
Let F(t) = 4t³ + 5, t² + 2t¹, 3t²).
( −
−
Find the line (L) tangent to r(t) at the point (1, 3,
L: (x, y, z)
=
+t
3)
Transcribed Image Text:Let F(t) = 4t³ + 5, t² + 2t¹, 3t²). ( − − Find the line (L) tangent to r(t) at the point (1, 3, L: (x, y, z) = +t 3)
Expert Solution
Step 1

We’ll answer the 1st question since we answer only one question at a time. Please submit a new question specifying the one you’d like answered.

Given,

ut=e5ti+e-4tj+tkvt=-3ti-2tj+3k

steps

Step by step

Solved in 3 steps

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