What is the purpose of evaluating the line integral along the curve C?

Understanding Line Integrals and Vector Fields

Interactive Video
•
Mathematics, Physics
•
11th Grade - University
•
Hard

Olivia Brooks
FREE Resource
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
To find the maximum value of the vector field
To find the length of the curve
To calculate the work done by the vector field on a particle
To determine the area enclosed by the curve
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the radius of the circle used in the problem?
5
3
4
2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the parametric equations for a circle centered at the origin?
x = r sec t, y = r csc t
x = r tan t, y = r cot t
x = r cos t, y = r sin t
x = r sin t, y = r cos t
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the x component of the vector function r(t) for the circle?
4 sin t
4 cos t
3 cos t
3 sin t
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the vector field F expressed as a function of t?
Using x = 4 sin t and y = 4 cos t
Using x = 3 sin t and y = 3 cos t
Using x = 4 cos t and y = 4 sin t
Using x = 3 cos t and y = 3 sin t
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the x component of r(t)?
4 sin t
-4 sin t
4 cos t
-4 cos t
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of the dot product of F and r'(t)?
48 + 16 cos t sin t
32 + 16 cos t sin t
16 + 48 cos t sin t
16 + 32 cos t sin t
Create a free account and access millions of resources
Similar Resources on Quizizz
11 questions
Calculus Concepts and Techniques

Interactive video
•
11th Grade - University
11 questions
Partial Derivatives and Surface Area

Interactive video
•
11th Grade - University
11 questions
Vector Fields and Integrals Concepts

Interactive video
•
11th Grade - University
11 questions
Calculus: Integrals and Vector Fields

Interactive video
•
11th Grade - University
11 questions
Helical Path and Line Integrals

Interactive video
•
11th Grade - University
11 questions
Understanding Vector Valued Function Integration

Interactive video
•
10th - 12th Grade
11 questions
Understanding Position Vector Functions

Interactive video
•
10th - 12th Grade
11 questions
Ellipse Area and Parameterization Concepts

Interactive video
•
11th Grade - University
Popular Resources on Quizizz
15 questions
Multiplication Facts

Quiz
•
4th Grade
25 questions
SS Combined Advisory Quiz

Quiz
•
6th - 8th Grade
40 questions
Week 4 Student In Class Practice Set

Quiz
•
9th - 12th Grade
40 questions
SOL: ILE DNA Tech, Gen, Evol 2025

Quiz
•
9th - 12th Grade
20 questions
NC Universities (R2H)

Quiz
•
9th - 12th Grade
15 questions
June Review Quiz

Quiz
•
Professional Development
20 questions
Congruent and Similar Triangles

Quiz
•
8th Grade
25 questions
Triangle Inequalities

Quiz
•
10th - 12th Grade
Discover more resources for Mathematics
40 questions
Week 4 Student In Class Practice Set

Quiz
•
9th - 12th Grade
25 questions
Triangle Inequalities

Quiz
•
10th - 12th Grade
10 questions
Right Triangles: Pythagorean Theorem and Trig

Quiz
•
11th Grade
45 questions
Week 3.5 Review: Set 1

Quiz
•
9th - 12th Grade
17 questions
High School Survival Guide

Lesson
•
9th - 12th Grade