Answer:
Step-by-step explanation:
we know that
The phrase "Three times the quantity five less than x" means 3 multiplied by the difference of x minus 5
3(x-5)
The phrase "the product of six and x" means the number 6 multiplied by x
6x
therefore
The phrase" Three times the quantity five less than x, divided by the product of six and x" is equal to the quotient of 3(x-5) and 6x
Answer & Step-by-step explanation:
To find if they have a constant of proportionality of 12, use the following:
Divide y by the x value (x,y), and if the remaining equation is true, then that table has a constant of proportionality of 12.*
:Done
*Make sure you check all the values in a table. Sometimes only the first values will have k=12, while the others don't.
**The constant of proportionality is represented by <em>k</em>.
The Volume of the given solid using polar coordinate is:
V=
<h3>What is Volume of Solid in polar coordinates?</h3>
To find the volume in polar coordinates bounded above by a surface z=f(r,θ) over a region on the xy-plane, use a double integral in polar coordinates.
Consider the cylinder, and the ellipsoid,
In polar coordinates, we know that
So, the ellipsoid gives
4() +
= 64
= 64- 4(
)
z=±
So, the volume of the solid is given by:
V=
=
To solve the integral take, = t
dt= -8rdr
rdr =
So, the integral become
=
=
=
so on applying the limit, the volume becomes
V=
=
V =
Since, further the integral isn't having any term of .
we will end here.
The Volume of the given solid using polar coordinate is:
Learn more about Volume in polar coordinate here:
#SPJ4