
Vector-Valued Functions and Integration Quiz
Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
Nancy Jackson
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in integrating a vector-valued function?
Integrate the entire function at once
Differentiate each component
Integrate each component separately
Use the chain rule
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example with the derivative r'(t), what substitution is used for u?
u = 2t
u = 4e^t
u = t
u = e^t
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine the constants when integrating a vector-valued function?
By setting them to zero
By differentiating the function
By using initial conditions
By guessing
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the antiderivative of secant squared?
Cosine
Tangent
Cotangent
Sine
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which function's antiderivative is the inverse tangent?
1/(1 + t^2)
1/(1 - t^2)
1/t
1/t^2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When evaluating definite integrals, what is the first step?
Find the derivative
Set the limits to zero
Integrate each component
Multiply the components
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of evaluating the definite integral of t^3 from -1 to 1?
1
0
2
-1
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