



has only one critical point at

. The function has Hessian

which is positive definite for all

, which means

attains a minimum at the critical point with a value of

.
To find the extrema (if any) along the boundary, parameterize it by

and

, with

. On the boundary, we have


Find the critical points along the boundary:


Respectively, plugging these values into

gives 11, 47, 43, and 47. We omit the first and third, as we can see the absolute extrema occur when

.
Now, solve for

for both cases:


so

has two absolute maxima at

with the same value of 47.
Answer:
y=-2
Step-by-step explanation:
because it's parallel --> a=-2
therefore we have y=-2x+b
the line goes through the point (3,-6) --> (-2).3+b=-6 --> b=0
Answer:
i beleive its 5.76
Step-by-step explanation:
Answer:
67 times
Step-by-step explanation:
Spinner's sample space = (1, 2, 3, 4, 5, 6)
Number less than 5 = (1, 2, 3, 4)
Total possible outcomes = 6
Required outcome = 4
P(number less than 5) = required outcome / Total possible outcomes
P(number less than 5) = 4 /6 = 2/3
Number of spins = 100
Predicted Number of times a number less than less than 5 is spurn in 100 spins :
100 * 2/3
= 66.666
= 67 times
56=70% of __
56/0.7=80
56 is 70% of 80.
Hope I helped!