Answer:
64 square yards
Step-by-step explanation:
If the room is a square, then all sides of the room should be equal. To find the area of the room, we would need to multiply 2 adjacent sides of the room, meaning 24 x 24 = 576. Since we need yards of carpet, not feet, and we know that 1 square yard is 9 square feet, we divide our total area in feet by 9. This gives us 64sq yards of carpet
We'll need to find the 1st and 2nd derivatives of F(x) to answer that question.
F '(x) = -4x^3 - 27x^2 - 48x - 16 You must set this = to 0 and solve for the
roots (which we call "critical values).
F "(x) = -12x^2 - 54x - 48
Now suppose you've found the 3 critical values. We use the 2nd derivative to determine which of these is associated with a max or min of the function F(x).
Just supposing that 4 were a critical value, we ask whether or not we have a max or min of F(x) there:
F "(x) = -12x^2 - 54x - 48 becomes F "(4) = -12(4)^2 - 54(4)
= -192 - 216
Because F "(4) is negative, the graph of the given
function opens down at x=4, and so we have a
relative max there. (Remember that "4" is only
an example, and that you must find all three
critical values and then test each one in F "(x).
Answer:
9
Step-by-step explanation:
f(8)=3(8)-2=22
f(5)=3(5)-2=13
22-13=9
