Convert the cartesian equation x^2 + y^2 = 16 to a polar equation.
convert the cartesian equation x^2 + y^2 + 2y = 0 to a polar equation.
convert the cartesian equation y = 3 to a polar equation.
will someone tell me a good calculator to use for these equations?

Problem 1:

Problem 2:

Problem 3:

Step-by-step explanation:

Problem 1:

So we are going to use the following to help us:

So if we make those substitution into the first equation we get:

Factor the out:

The following is a Pythagorean Identity: .

We will apply this identity now:

This implies:

We don't need both because both of include points with radius 4.

Problem 2:

Factoring out from first two terms:

Apply the Pythagorean Identity I mentioned above from problem 1:

or if we factor out r:

r=0 is actually included in the other equation since when theta=0, r=0.

Problem 3:

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.

10 you would take 50/ .2

step-by-step explanation: