Write the equation \(4x^2-8x+9y^2-72y+112=0\) in standard form. 

What kind of polar plot is produced by the equation \(r=2+5\cos(\theta)\)? (Hint, you can just plot it)

Determine a unit vector pointing in the direction of \(\langle 3,4\rangle \).

Determine the sum of the vectors \(\mathbf{u}=\langle 3,1\rangle\) and \(\mathbf{v}=\langle 1,3\rangle\)

Convert \((4,2)\) from cartesian coordinates to polar coordinates.

Determine the foci of the ellipse given by the equation \(\frac{x^2}{4}+\frac{y^2}{49}=1\)

Which of these graphs matches the equation \((x-1)^2-\frac{(y-2)^2}{4}=1\).

Convert the equation \(x^2+y^2=4y\) from cartesian to polar coordinates.

Below in the left-side column are a list of “checks” that balance out our branches of government.  Correctly identify the two branches that are associated with that “check” in the right-side column. 

A host in an organization has IP address 190.126.14.251 Identify the address class of the IP address. Answer format:  To receive the correct points for this problem, enter only the letter in the box. Class = [class] Example: For a class F IP address, enter F Class = F