Answer:
34.16 cm
Step-by-step explanation:
side of square base = x
height = h
area, A = 3500 cm^2
Area = x² + 4xh = 3500
4 xh = 3500 - x²
h = (3500 - x²)/4x
Volume = Area of base x height
V = x² h
V = x² (3500 - x²)/4x
V = (3500 x - x³) / 4
Differentiate volume with respect to x
dV/dx = (3500 - 3x²) / 4
It is equal to zero for maxima and minima
3500 - 3x² = 0
x = 34.16 cm
Now differentiate again
d²V/dx² = 6x / 4
It is negative so the volume is maximum.
Thus, for x = 34.16 cm, the volume is maximum.
Answer:
Basically this is because division can be thought of as how many times does the divisor have to be multiplied in order to produce the dividend.
So you would need to multiply 1 8 times in order to produce the dividend,
Similarly, 10 goes into 80 8 times. The zeros are simply cancelled out in the division.
8x+8y=2
-) 8x+5y=1
——————
3y=1
y=1/3
8x+8(1/3)=2
24x+8=6
24x=-2
x=-1/12
(-1/12,1/3)
Answer:
y=1
Step-by-step explanation:
because 2×1=2 and when you add 4 to it you will get 6
