Answer:
500
Step-by-step explanation:
It's a box with a square base, so let's say the width and length are x and the height is y.
The surface area of the box without the top is:
A = x² + 4xy
300 = x² + 4xy
The volume of the box is:
V = x²y
Solve for y in the first equation and substitute into the second:
y = (300 − x²) / 4x
V = x² (300 − x²) / 4x
V = x (300 − x²) / 4
V = 75x − ¼ x³
To optimize V, find dV/dx and set to 0:
dV/dx = 75 − ¾ x²
0 = 75 − ¾ x²
x = 10
So the volume of the box is:
V = 75x − ¼ x³
V = 500
The maximum volume is 500 cm³.
Step-by-step explanation:
Step 1: On the horizontal axis, we can choose the scale to be 1 unit = 11 lb.Since the weights in the table start from 65, not from 0, we give a break/kink on the X-axis. Step 2: On the vertical axis, the frequencies are varying from 4 to 10.Thus, we choose the scale to be 1 unit = 2.
Your question is first one that’s your answer
Hello, This is correct.
first one is whole numbers
the third one natural numbers
the fourth are complex numbers
The last one is irrational numbers
