If All the Third-Order Partial Derivatives Of $f ( x , y )$

question 196

Multiple Choice

If all the third-order partial derivatives of $f ( x , y )$ are continuous, what is the largest number of them that can be distinct?

• A)3
• B)4
• C)5
• D)6
• E)7
• F)8
• G)9
• H)10

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Definitions:

Test Statistic

A value calculated from sample data that is used in statistical hypothesis testing to determine whether to reject the null hypothesis.

Correlation Coefficient

A measure indicating the extent to which two variables change together, ranging from -1 to 1.

One-tailed Test

A hypothesis test in which the values for which we can reject the null hypothesis are located entirely in one tail of the probability distribution.

Two-tailed Test

A statistical hypothesis test in which the area of rejection is on both tails of the normal distribution, testing for the possibility of both positive and negative differences.