Answer:
(1,1)
Step-by-step explanation:
x=1
y=1
6(1) + 1=7
6+1=7
Integrate <span>f ''(x) = −2 + 36x − 12x2 with respect to x:
f '(x) = -2x + (36/2)x^2 - (12/3)x^3 + c. Find c by letting x = 0 and using f(0)=8.
Then f '(0) = -2x + 18x^2 - 4x^3 + c = 18 (which was given).
Then -0 + 0 - 0 + c = 18, so c = 18 and
f '(x) = </span>-2x + 18x^2 - 4x^3 + 18.
Go through the same integration process to find f(x).
Answer:
We are looking for the amount of wax it will take to fill up that size candle mold to make that candle. That means that we are looking for the volume of wax, and the shape is a cylinder. The volume formula for a cylinder is
For us, that will look like this:
which translates to
V = 3.14(9)(5) which gives us a volume of 141.3 cubic inches. Rounding to the nearest cubic inch is simply 141 cubic inches of wax.
Step-by-step explanation:
Answer:
x = 19.5 or 19 1/2
Step-by-step explanation:
cos 41 = 14.7/x
x = 19.5
