Surface area = 2 x 2 + 4 x 1/2 x 2 x 5
= 24 square inches
Answer:
The answer is B.
Step-by-step explanation:
Let us go through each of the points one by one:
The label A represents the radius of the base of the cone.
The label B represents the height of the cone.
The label C represents the origin of the base of the cone.
The label D represents the vertex of the cone (where the cone ends).
So it is choice B that represents the height of the cone.
<em>P.S: it is tempting to pick label D to represent the height, but since label A already points to a line that is the height of the cone, we don't pick Label D.</em>
First, for end behavior, the highest power of x is x^3 and it is positive. So towards infinity, the graph will be positive, and towards negative infinity the graph will be negative (because this is a cubic graph)
To find the zeros, you set the equation equal to 0 and solve for x
x^3+2x^2-8x=0
x(x^2+2x-8)=0
x(x+4)(x-2)=0
x=0 x=-4 x=2
So the zeros are at 0, -4, and 2. Therefore, you can plot the points (0,0), (-4,0) and (2,0)
And we can plug values into the original that are between each of the zeros to see which intervals are positive or negative.
Plugging in a -5 gets us -35
-1 gets us 9
1 gets us -5
3 gets us 21
So now you know end behavior, zeroes, and signs of intervals
Hope this helps<span />
The answer is below

multiply both sides by dx

integrate both sides of the diffrential

simplify and integrate to get y alone don't forget to tack on c with your indefinite integral
Answer:
4ab² + 20b - 3a
Step-by-step explanation:
This question most likely asks us to simplify the expression, as factoring is not possible...
(ab² + 13b - 4a) + (3ab² + a + 7b),
ab² + 13b - 4a + 3ab² + a + 7b,
ab² + 3ab² + 13b + 7b - 4a + a,
Solution : 4ab² + 20b - 3a