Answer:
h=60/7
w=45/7
Step-by-step explanation:
just try it.
Answer:
1/2
Step-by-step explanation:
Just divide 7 by 18.
7/18 = 0.38888888889
Answer:
a) No.
b) Yes.
Step-by-step explanation:
a) It's not proportional. Although the graph represents a straight line, it does not pass through the origin (0,0).
b) It is proportional. It is a straight line that passes through the origin.
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
Recall the Laplace transform of a second-order derivative,

and the transform of cosine,

Here, both
, so taking the transform of both sides of

gives

