Find a vector function that represents the curve of intersection of the paraboloid z=3x2+2y2 and the cylinder y=6x2. use the variable t for the parameter.

Step-by-step explanation:

First plug the equation of y into the equation of z, so that we get their intersection:

We plug  

Into:

So, we get:

Then we set  

And plug that in the equation and the one we just got for z.

So that we get:

Therefore, the vector function that represents the curve of intersection is:

irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

step-by-step explanation: