Answer:
False
Step-by-step explanation:
In this case, i woudnt reccomend to use integration by parts, becuase you are not simplifying the expression by doing an integration and a derivation. It is not easy to integrate 1/x³+1, and if you derivate it, then a natural logarithm would appear, and the integral wont be easier after this parts step.
It is a better idea to use integration by substitution. Note that if you replace x³+1 by a variable y, we have that dy = 3x² dx. We can easily make a 3xdx appear in the integral by multiplying and dividing by 3, solving the integral easily:
(Note that, if x ranges from 0 to 1, then u = x³+1 ranges from 0³+1 = 1 to 1³+1 = 2)
Apparently, there is a sphere inside a cylinder, and we need to find
(the volume of the cylinder) minus (the volume of the sphere).
This wouldn't be too awfully difficult if we had the measurements we need
in order to calculate the volume of the cylinder and the volume of the sphere.
You did give us a number, thank you, but no description, so we don't even know
what's 12, because we don't know how 'H' figures into anything.
If you have the numbers, here are the formulas you'll need:
Volume of a cylinder = π (radius)² (height or length)
Volume of a sphere = (4/3) π (radius)³
===============================================
Oh I think I get it. There's a little ball stuck inside a cylinder, they
both have the same radius, and the height of the cylinder is 12.
That's still not enough information to do a complete calculation.
I'm afraid we still need that radius. But we can get closer:
Volume of the cylinder = π (radius)² (12)
Volume of the sphere = (4/3) π (radius)³
(Cylinder) minus (sphere) = (4/3) π (radius²) ( 9 - radius ) .
Stuff the number for the radius into that, and you'll have the answer.
And if you need it, remember, the radius is 1/2 of the diameter.
14.95 would be the answer
Answer:
-2b^2+3b
Step-by-step explanation:
You just have to add like terms, which is the single numbers, the numbers with just the variables, and the numbers with variables that are squared.
Answer:
I believe it's u=11
Step-by-step explanation:
10=-2+u÷2
10=-1+u
11=u
