Eva is working two summer jobs, making $16 per hour tutoring and $8 per hour clearing tables. Last week Eva worked 3 times as ma
1 answer:
You might be interested in
Answer:
1. 4 categories are shown in the rows.
2. 2 categories are shown in the columns.
3. The number of 14 year olds that consider winter their favorite season is 12.
4. Total number of people polled is 82.
Step-by-step explanation:
The question is to test the ability of a student to group data using a frequency table accurately, and make appropriate deductions from it. Consider the attachment for the accurate table required to answer the given questions.
If the given information is grouped as required, thus the answers to the questions are:
i. 4 categories are shown in the rows.
ii. 2 categories are shown in the columns.
iii. The number of 14 year olds that considers winter their favorite season is 12.
iv. Total number of people polled is 82.
Answer:
A(-1,0) is a local maximum point.
B(-1,0) is a saddle point
C(3,0) is a saddle point
D(3,2) is a local minimum point.
Step-by-step explanation:
The given function is
The first partial derivative with respect to x is
The first partial derivative with respect to y is
We now set each equation to zero to obtain the system of equations;
Solving the two equations simultaneously, gives;
and
The critical points are
A(-1,0), B(-1,2),C(3,0),and D(3,2).
Now, we need to calculate the discriminant,
But, we would have to calculate the second partial derivatives first.
At A(-1,0),
and
Hence A(-1,0) is a local maximum point.
See graph
At B(-1,2);
Hence, B(-1,0) is neither a local maximum or a local minimum point.
This is a saddle point.
At C(3,0)
Hence, C(3,0) is neither a local minimum or maximum point. It is a saddle point.
At D(3,2),
and
Hence D(3,2) is a local minimum point.
See graph in attachment.
