I maybe wrong, but I think it is 14
Simplify both sides of the equation
(Do distributive property)
Add 6v to both sides
Subtract 67 from both sides
Divide both sides by -1
It's simple,
f(x)=x^2+2
is the formula that you start with
you are then given f(x). f(4x)
you then plug in 4x
4x=(4x)^2+2
you then solve for x
4x=16x+2
-16x. -16x
-12x=2
÷-12. ÷-12
x=0.16 is your answer
Answer:
64π/5 cubic units.
Step-by-step explanation:
The line x = 2 and y = x^3 intersect at the point (2 , 2^3) = (2, 8).
The required volume = volume of the cylinder with height 8 and radius 2 - the volume of shape form between the curve and the y axis when revolved about the y-axis.
Using the disk method for volumes of revolution:
Note that x = y^1/3 so:
the second volume = Integral π ((y^1/3)^2) dy between y = 0 and y = 8.
= 3/5 y^5/3 * π between 0 and 8
= 96π/5.
The required volume = π 2^2 *8 - 96π/5
= 32π - 96π/5
= 64π/5.
M^3 is the square root of m6
