Answer:
f(x) = x^4/12 + 8x + 4
Step-by-step explanation:
f"(x) = x^2
Integrate both sides with respect to x
f'(x) = ∫ x^2 dx
= (x^2+1)/2+1
= (x^3)/3 + C
f(0) = 8
Put X = 0
f'(0) = 0+ C
8 = 0 + C
C= 8
f'(x) = x^3/3 + 8
Integrate f(x) again with respect to x
f(x) = ∫ (x^3 / 3 ) +8 dx
= ∫ x^3 / 3 dx + ∫8dx
= x^(3+1) / 3(3+1) + 8x + D
= x^4/12 + 8x + D
f(0) = 4
Put X = 0
f(0) = 0 + 0 + D
4 = D
Therefore
f(x) = x^4 /12 + 8x + 4
Answer: option D is the correct answer
Step-by-step explanation:
The shaded portion of the circle is the smaller sector whose radius is the same as the radius of the circle which is given as 4 units. The sector is always bounded by two radii with a common point which is the center of the circle and forming an angle at that point. The given sector forms an angle of 45 degrees.
Area of a sector is expressed as
#/360 × π × r^2 and # is in degrees
Therefore, area of the shaded portion or sector = 45/360 × π × 4^2
= 45/360 × 16π
= 45/360 (16π)
Answer:
(4,9) is in quarter I and (4,-9) is in quarter IV of the graph. (4,-9) is the point (4,9) reflected over the x-axis. they are similar bc both have 4 as their x coordinate.
Step-by-step explanation:
Answer:
<h2>
31.7 cm^2</h2>
Solution,
In ∆ ABC
< A + <B + < C = 180°
or, 72 + 59 + <C = 180°
or, 131 + <C = 180°
or, <C = 180 - 131
< C = 49
Area of ∆ABC = 1/2 ab sin C
= 1/2 * 12 * 7 * sin 49
= 42 * sin 49
= 31.7 ( approximately)
Hope this helps...
Good luck on your assignment...
Answer:
x - 2
Step-by-step explanation:
2x - 1 + 4x - 11
First, you want to combine like terms.
We can see that the one and eleven can go together, so add them together.
2x + 4x - 12
The reason that we made one, and eleven, negative twelve, is because they are both being subtracted from the numbers before that.
6x - 12
We added the 2x, and the 4x together to make 6x.
Another way to write this would be x - 2, because you can simplify it by dividing it by 6.
