Answer:
a. V = (20-x)
b . 1185.185
Step-by-step explanation:
Given that:
- The height: 20 - x (in )
- Let x be the length of a side of the base of the box (x>0)
a. Write a polynomial function in factored form modeling the volume V of the box.
As we know that, this is a rectangular box has a square base so the Volume of it is:
V = h *
<=> V = (20-x)
b. What is the maximum possible volume of the box?
To maximum the volume of it, we need to use first derivative of the volume.
<=> dV / Dx = -3
+ 40x
Let dV / Dx = 0, we have:
-3
+ 40x = 0
<=> x = 40/3
=>the height h = 20/3
So the maximum possible volume of the box is:
V = 20/3 * 40/3 *40/3
= 1185.185
Answer:
553 km
Step-by-step explanation:
1:55.3 to 10:553
Step-by-step explanation:
because 9+14+10+7=40, you could say 9/40 or if you wanted to get a percent, you could multiply 40×2.5 ( because 40×2.5=100) then multiply 9×2.5 to get the percent
Answer:
Area: 78.5in²
Circumference: 31.4in
Step-by-step explanation:
A=πr²
C=2πr
The slope of the tangent line to

through the point

is given by the derivative:

The value of the derivative is zero when

, which happens for infinitely many points

where

is any integer.