For the answer to the question above,
1. If we let x as the side of the square cut-out, the formula for the capacity (volume) of the food dish is:
V = (12 - 2x)(8 - 2x)(x)
V = 96x - 40x^2 + 4x^3
To find the zeros, we equate the equation to 0, so, the values of x that would result to zero would be:
x = 0, 6, 4
2. To get the value of x to obtain the maximum capacity, we differentiate the equation, equate it to zero, and solve for x.
dV/dx = 96 - 80x + 12x^2 = 0
x = 5.10, 1.57
The value of x that would give the maximum capacity is x = 1.57
3. If the volume of the box is 12, then the value of x can be solved using:
12 = 96x - 40x^2 + 4x^3
x = 0.13, 6.22, 3.65
The permissible value of x is 0.13 and 3.65
4. Increasing the cutout of the box increases the volume until its dimension reaches 1.57. After that, the value of the volume decreases it reaches 4.
5. V = (q -2x) (p - 2x) (x)
Answer: God
Step-by-step explanation: LORD HAVE MERCY
Step-by-step explanation:
1.answer is 6.9667738478
2 answer is 42.872454448
3answer is 14.1339764202
4answer is 0.0857449089.
Y = 3.5x
24= 3.5x
the train will be ride 6 times each day
and there are 7 days in a week
so multiply 6 and 7
=42
Answer:
B. $1.60 per notebook
Step-by-step explanation:
Because:
4 notebooks ÷ $2.50 (4 notebooks cost) = $1.60 per notebook
