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Answer:
in
Step-by-step explanation:
Let x be the side of square.
Length of box=8-2x
Width of box=15-2x
Height of box=x
Volume of box=
Substitute the values then we get
Volume of box=V(x)=
Differentiate w.r.t x
Again differentiate w.r.t x
Substitute x=6
Substitute x=5/3
Hence, the volume is maximum at x=
Therefore, the side of the square ,
in cutout that gives the box the largest possible volume.
A. The distance between the red ant and the black ant is five units.
To represent the red ant,
xr = 3 - t
yr = 2 + 2 t
zr = 6 + 2 t
To represent the black ant,
xb = t/2
yb = 2 + 3 t
zb = 2 + t
To calculate,
at t = 0
xb - xr = -3
yb - yr - 2-2 = 0
zb - zr = 2-6 = -4
Therefore,
d = √(9+16) = √(25) = 5
b. There will be no collision between the two ants.
To calculate,
3 - t = t/2
6 - 2t = t
6 = 3t
t = 2
If t = 2,
2 + 2*2 = 2 + 3*2
The first 10 and 50 digits of Pi:
3.14159265 35897932384626433832795028841971693993751
Let the be the time in hours, and meters of fencing completed.
We know that After three hours, they have 15 meters of fencing complete, our graph will go from the point (0,0) to the point (3,15). We also know that they decide to take a 2-hour break for lunch and then resume building the fence, so our graph will go from the point (3,15) to the the point (5,15). Finally, After four more hours, they have a fence that is a total of 55 meters long, so the final part of our graph will go from the point (5,15) to the point (9,55)
We can conclude that the graph of t vs y is:
