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:
(-4, -3)
Step-by-step explanation:
The graph of both lines will be shown below.
To find the solution, we need to find the point on the graph that both lines intersect on.
As we can see, both lines intersect on the point (-4, -3). Thus, that is the solution.
Best of Luck!
Answer:
25/4 square inches
Step-by-step explanation:
The area of a sector of a circle is given by the formula ...
A = (1/2)r²θ
where r is the radius and θ is the central angle in radians.
For your sector, the area is ...
A = (1/2)(5 in)²(1/2) = 25/4 in²
Answer:
Step-by-step explanation:
The angle marks mean those angles have the same measure. That means the sides opposite them have the same measure, so ...
2x -24 = x -2
x = 22 . . . . . . . . . add 24-x
The length of BC is x, so is 22.
BC = 22