
Vector-Valued Functions and Integration
Interactive Video
•
Mathematics
•
11th Grade - University
•
Practice Problem
•
Hard
Standards-aligned
Emma Peterson
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary goal when integrating vector-valued functions in this lesson?
To find the derivative of a function
To determine the specific anti-derivative given an initial condition
To calculate definite integrals
To solve differential equations
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the first example, what is the initial condition given for R(0)?
R(0) = 0
R(0) = 2I + 1J
R(0) = 3I + 4J
R(0) = 1I + 2J
Tags
CCSS.HSN.VM.A.2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the constant C1 in the first example?
By setting the X component to zero
By setting the X component to one
By setting the Y component to zero
By setting the Z component to two
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What substitution is used to integrate sin(2T) in the second example?
U = 2T
U = T
U = cos(T)
U = sin(T)
Tags
CCSS.HSN.VM.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral of 1/(1 + T^2) in the second example?
sin(T)
ln(T)
cos(T)
arctan(T)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second example, what is the initial condition given for R(0)?
R(0) = 2I + 3J + K
R(0) = 3I - 2J + K
R(0) = I + J + K
R(0) = 0
Tags
CCSS.HSN.VM.A.2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the constant C2 determined in the second example?
By setting the Y component to two
By setting the Z component to one
By setting the Y component to -2
By setting the X component to zero
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