A particle moves along a curve so that at any time t > 0, its x- 3 coordinate is given by x (t) = t³ - 4 and its y-coordinate is given by y(t) = 2t + 5. An equation of the tangent line to the curve at t= 1 is 2 ○ (A) y-7== (x+3) 3 3 O (B) y-7== (x+3) 2 O (C) y-7= 2(x+3) O (D) y-7= 3(x+3)

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
A particle moves along a curve so that at any time t > 0, its x-
coordinate is given by x (t) = t³ - 4 and its
y-coordinate is given by y(t) = 2t + 5. An equation of the tangent
line to the curve at t= 1 is
2
O (A) y-7== (x+3)
○
(B) y- 7 = ²2/(x
3
= (x+3)
O (C) y-7= 2(x+3)
O (D) y-7= 3(x+3)
Transcribed Image Text:A particle moves along a curve so that at any time t > 0, its x- coordinate is given by x (t) = t³ - 4 and its y-coordinate is given by y(t) = 2t + 5. An equation of the tangent line to the curve at t= 1 is 2 O (A) y-7== (x+3) ○ (B) y- 7 = ²2/(x 3 = (x+3) O (C) y-7= 2(x+3) O (D) y-7= 3(x+3)
20. Using the substitution u = x²,
©
2
(A) / Se
1
-2
(B) 2 e" du
25₁
1
(C)
e" du
•√₂
1
e" du
√₂
(D) 2 e du
1
√√2
te+²
dx is equal to which of the following?
1
Transcribed Image Text:20. Using the substitution u = x², © 2 (A) / Se 1 -2 (B) 2 e" du 25₁ 1 (C) e" du •√₂ 1 e" du √₂ (D) 2 e du 1 √√2 te+² dx is equal to which of the following? 1
Expert Solution
Step 1

Calculus homework question answer, step 1, image 1

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