All Calculus 3 Resources
Example Questions
Example Question #1 : Partial Derivatives
Evaluate:
Possible Answers:
Does not exist
Correct answer:
Explanation:
Since we won't have any divided by zero problems, we can just evaluate at the point.
Example Question #2 : Partial Derivatives
Calculate the following limit.
Possible Answers:
Correct answer:
Explanation:
We can calculate the limit
by simply plugging in because the value is defined at and around that point.
So we get
.
Example Question #3 : Partial Derivatives
Calculate the following limit.
Possible Answers:
Correct answer:
Explanation:
We can calculate the limit
by simply plugging in because the value is defined at and at every value in .
So we get
.
Example Question #3 : Limits
Evaluate
Possible Answers:
None of the other answers
Does not exist
Correct answer:
Does not exist
Explanation:
If we try evaluating the limit along two different paths, , we have
And
Since evaluating along these two paths yielded diffferent values, the limit does not exist.
Example Question #2 : Partial Derivatives
Possible Answers:
Correct answer:
Explanation:
Example Question #4 : Limits
Possible Answers:
Correct answer:
Explanation:
Example Question #1 : Limits
Possible Answers:
Correct answer:
Explanation:
Example Question #5 : Limits
Possible Answers:
Correct answer:
Explanation:
Example Question #1 : Partial Derivatives
Possible Answers:
Correct answer:
Explanation:
Example Question #1 : Limits
Possible Answers:
Correct answer:
Explanation:
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