What is a vector valued function in terms of its components?

Understanding Vector Valued Functions and Partial Derivatives

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

Ethan Morris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A function with scalar components
A function with vector components
A function with no components
A function with both scalar and vector components
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you take the partial derivative of a vector valued function with respect to a parameter?
By varying all parameters simultaneously
By holding one parameter constant and varying the other
By ignoring all parameters
By integrating over the parameters
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of taking the partial derivative of each component of a vector valued function?
An undefined result
A new vector valued function
A scalar function
A constant
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a non-vector valued function?
A function that outputs vectors
A function that outputs scalars
A function that has no output
A function that outputs matrices
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do non-vector valued functions contribute to vector valued functions?
They are multiplied by unit vectors to form vector valued functions
They are added together to form vector valued functions
They are subtracted to form vector valued functions
They are divided to form vector valued functions
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a differential in the context of calculus?
A large change in a variable
A super small change in a variable
A constant value
An undefined concept
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why might some mathematicians cringe at the pseudo-mathy approach to differentials?
Because it is too complex
Because it is too simple
Because it lacks rigorous definition
Because it is too rigorous
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