Answer:
F(1,5)
Step-by-step explanation:
This is a vertical parabola.
The vertex is at (1,4).
The directrix is y=3.
The distance from the vertex to the directrix is p=1
The focus is (1,4+p), which is (1,4+1)
Therefore the focus is (1,5)
Answer:
Volume =
cubic centimeter
Step-by-step explanation:
Let the length of each side of the base of the box be A and the height of the box be H.
Area of material required to make the box is equal to is 
Rearranging the above equation, we get -

Volume of box is equal to product of base area of box and the height of the box -

Substituting the given area we get -

For maximum volume



Volume of the box
= 
=
cubic centimeter
Answer:
f(x) = x^3 - 2x^2 - x + 2
Step-by-step explanation:
since the zeroes are 1,-1, and 2. we can write the function like
f(x) = (x-1)(x+1)(x-2)
f(x) = (x^2-1)(x-2)
f(x) = x^3 -2x^2 -x +2
and it is true that f(0)=2
Answer: 197
Step-by-step explanation:
The nth term is 3n+5
so the 64th term will be
(3 x 64)+5
192+5
= 197