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:
The answer is: small+large.
Step-by-step explanation:
If the variable of the smaller sheetrock is stored in small:
var small.
And the variable of the larger sheetrock is stored in large:
var large.
The length of the wall will be the sum of the two pieces of sheetrock:
For example:
var small = 5;
var large = 10;
small+large = 5 + 10 = 15 is the length of the wall.
Answer:
Step-by-step explanation: You added the following numbers multiplied the product by 5 = 17 and then you abbrieviated it and reapeated the process
Answer:
3077.2
Step-by-step explanation:
A circle's mass is found by
Pie times R^2
7^2 is 49, times 3.14 is 153.86
then you Multiply 153.86 by 20 which gives you 3077.2
