The volume as a function of the location of that vertex is
... v(x, y, z) = x·y·z = x·y·(100-x²-y²)
This function is symmetrical in x and y, so will be a maximum when x=y. That is, you wish to maximize the function
... v(x) = x²(100 -2x²) = 2x²(50-x²)
This is a quadratic in x² that has zeros at x²=0 and x²=50. It will have a maximum halfway between those zeros, at x²=25. That maximum volume is
... v(5) = 2·25·(50-25) = 1250
The maximum volume of the box is 1250 cubic units.
Step-by-step explanation:
I think it's D 1 1/2......
Answer:
5) a
6) a
7) b
8) d
9) a
10) b
11) c
12) a
Step-by-step explanation:
When it asks for range it is asking for the y values so when you plug in numbers such as 0,1,2 into the equation the y values you get are {0,90,180..}
Overall slope can be found by taking the x and y values of the two given points.
((y value of the second point)-(y value of the first point))/((x value of the second point)-(x value of the first point))
Using (1,2) and (-2, 5) you can do this by plugin in the numbers (5-2)/(-2-1)
So the slope will be 3/-3 = -1
Once you find the slope you can use this to find the equation of a line by pluging in values into y=mx + b
m = slope
y = use this from the points given
x = use this from the points given
Answer:
The length of each side is 4 m
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
64 = s^3
Take the cube root of each side
64 ^ (1/3) = s^3 ^ (1/3)
4 = s
The length of each side is 4 m
Answer:
y = -2x - 3
Step-by-step explanation:
