Answer:
Step-by-step explanation:
Remark
Assume all of the sheet of plywood is to be used.
Front and back = 2 * 2x *h
Top and Bottom = 2 * 2x * x
Left/Right side = 2 * x * h
Total area = 4xh + 4x^2 + 2xh
Total area = 6xh + 4x^2
Total area = 600
6xh + 4x^2 = 600
h = (600 - 4x^2)/6x
h = 100/x - 2/3 x
Volume = x * 2x * h
Volume = 2x^2 * (100/x - 2/3 x)
Volume = 200x - 4/3 x^3
I can do this without calculus (I think), but it is much easier to use it.
dV/dx = 200 - 4x^2
This is a maximum when dV/dx = 0
dV/dx = 200 - 4x^2 = 0
4x^2 = 200
x^2 = 50
x = 5√2
The rule is to subtract 6
Answer:
Step-by-step explanation:
1. Three million, two hundred ninety eight thousand, seventy six
2. 50,003,087
50,000,000+3000+87
3. 60,400,239
Answer:
X - 2.
Step-by-step explanation:
x - 2
----------------------------
x2 – x + 1 ) x3 – 3x2 + 3x – 2
x3 - x2 + x
-------------------
-2x^2 + 2x - 2
-2x^2 + 2x - 2
---------------------
0