Lagrange multipliers:
(if
)
(if
)
(if
)
In the first octant, we assume
, so we can ignore the caveats above. Now,
so that the only critical point in the region of interest is (1, 2, 2), for which we get a maximum value of
.
We also need to check the boundary of the region, i.e. the intersection of
with the three coordinate axes. But in each case, we would end up setting at least one of the variables to 0, which would force
, so the point we found is the only extremum.
Hi there!
Find the area of the parallelogram using the formula:
A = b × h
Thus:
A = 7 × 5 = 35 units²
Answer:
y= -4x/3 + 4
Step-by-step explanation:
Answer:
Number of 3 point goals = 85
Number of 2 point goals = 3(85) - 62 = 193
Number of free throws = 3(85)- 32 = 223
Step-by-step explanation:
Given that :
2 point goals
Number of 3 point goals = x
Number of 2 point goals = 3x - 62
Number of free throws = 3x - 62 - 30 = 3x - 32
3x + 2(3x - 62)+ 3x - 32= 864.
3x + 6x - 124 + 3x - 32 = 864
12x = 864+ 124 + 32
12x =1020
x = 1020 / 12
x = 85
Number of 3 point goals = 85
Number of 2 point goals = 3(85) - 62 = 193
Number of free throws = 3(85)- 32 = 223
Answer:
x=1
Step-by-step explanation:
Anytime there is a vertical line, the y value becomes infinite as the line goes on forever. The only restriction on the line is on the x value of your coordinate. The same goes for a horizontal line, only the x value would become infinite and the y value would be constant.
Vertical Line: (x,∞)
Horizontal Line: (∞,y)
