Check where the first-order partial derivatives vanish to find any critical points within the given region:

The Hessian for this function is

with
, so unfortunately the second partial derivative test fails. However, if we take
we see that
for different values of
; if we take
we see
takes on both positive and negative values. This indicates (0, 0) is neither the site of an extremum nor a saddle point.
Now check for points along the boundary. We can parameterize the boundary by

with
. This turns
into a univariate function
:



At these critical points, we get






We only care about 3 of these results.



So to recap, we found that
attains
- a maximum value of 4096 at the points (0, 8) and (0, -8), and
- a minimum value of -1024 at the point (-8, 0).
10,080 because you can multiply it out....
Answer:
₹2835
Step-by-step explanation:
Working out discount of 10% of jeans at ₹1450:
10% of 1450 = 1450/10 = ₹145
the price would now be ₹1450 - ₹145 = ₹1305
Working out discount of 10% of a shirt at ₹850:
10% of 850 = 850/10 = ₹85
the price would now be ₹850 - ₹85 = ₹765
so the price of two shirts = ₹765 × 2 = ₹1530
the total the customer would have to pay:
₹1305 + ₹1530 = ₹2835
Answer:
D. tan(-π/6)
Step-by-step explanation:
The tangent function is periodic with a period of π, so ...
tan(5π/6) = tan(5π/6 ± kπ) . . . for any integer k
For k = -1, we have ...
tan(5π/6) = tan(5π/6 -π) = tan(-π/6)
Answer:
IQR = 22
Step-by-step explanation:
IQR Formula:
IQR = Q3 - Q1
In order you find Q3 and Q1, please follow these steps:
1. First, you need to order the list of numbers from least to greatest:
2, 6, 9, 10, 16, 28, 33
2. Then, you need to find the median, or the middle number.
2, 6, 9, 10, 16, 28, 33
3. In order to find IQR, you must find the first and third quartiles.
2, 6, 9, 10, 16, 28, 33
Q1 = 6
Q3 = 28
This is because 6 basically means that all the numbers leading to 6 would account for 25% of the data while all the numbers leading to 28 would account for 75% of the data, hence why these are called quartiles.
Now since you have Q1 and Q3, you follow the formula.
28 - 6 = 22
IQR = 22