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
In plain text, it is appropriate to express the division using a division bar (/) and parentheses around the numerator and denominator:
(3x^4 +7x^3 +2x^2 +13x +5)/(x^2 +3x +1)
It is best to reserve the square root symbol (√) for an actual square root.
Your quotient is
3x^2 -2x +5
F(x)=|x-5|+2
plug it in
so f(3)
f3)=|3-5|+2
solve whats inside first
|-2|+2
since its absolute value its actually positive
2+2
4
Your answer is C.) 4
The answer is B I agree with him/her
Answer:
The first one the slope is 0.
The second one the slope is 1/2