What shape does the wire take in the problem discussed?

Understanding Mass Calculation of a Semicircular Wire

Interactive Video
•
Mathematics, Physics
•
10th - 12th Grade
•
Hard

Emma Peterson
FREE Resource
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A full circle
A semicircle
A square
A triangle
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the radius of the semicircle in the problem?
1
2
3
4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the parametric equations for the semicircle?
x(t) = 2 sin(t), y(t) = 2 cos(t)
x(t) = sin(t), y(t) = cos(t)
x(t) = 2 cos(t), y(t) = 2 sin(t)
x(t) = cos(t), y(t) = sin(t)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of x(t) with respect to t?
2 cos(t)
-2 sin(t)
2 sin(t)
-2 cos(t)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the density function used in the line integral?
x^2 + y^2
x^6 y
2x + 3y
x^3 y^2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of the square root in the integrand?
4
1
2
0
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What substitution is used to evaluate the integral?
U = sin(t)
U = tan(t)
U = t^2
U = cos(t)
Create a free account and access millions of resources
Similar Resources on Wayground
11 questions
Parametric Equations and Derivatives

Interactive video
•
11th - 12th Grade
11 questions
Parameterization of Circles in Space

Interactive video
•
9th - 12th Grade
11 questions
Exploring Parametric Equations: Beginnings Part 2

Interactive video
•
9th - 12th Grade
11 questions
Surface Area and Rotation Concepts

Interactive video
•
10th - 12th Grade
11 questions
Understanding Parametric Equations of Conic Sections

Interactive video
•
9th - 12th Grade
11 questions
Surface Area of Revolution in Polar Coordinates

Interactive video
•
10th - 12th Grade
11 questions
Understanding Parametric Equations

Interactive video
•
9th - 12th Grade
11 questions
Understanding Parametric Equations of an Ellipse

Interactive video
•
10th - 12th Grade
Popular Resources on Wayground
25 questions
Equations of Circles

Quiz
•
10th - 11th Grade
30 questions
Week 5 Memory Builder 1 (Multiplication and Division Facts)

Quiz
•
9th Grade
33 questions
Unit 3 Summative - Summer School: Immune System

Quiz
•
10th Grade
10 questions
Writing and Identifying Ratios Practice

Quiz
•
5th - 6th Grade
36 questions
Prime and Composite Numbers

Quiz
•
5th Grade
14 questions
Exterior and Interior angles of Polygons

Quiz
•
8th Grade
37 questions
Camp Re-cap Week 1 (no regression)

Quiz
•
9th - 12th Grade
46 questions
Biology Semester 1 Review

Quiz
•
10th Grade