Math  /  Geometry

Question3. Identify the curve by finding a Cartesian equation for the curve. a) r=2r=2 b) r=3sinθr=3 \sin \theta c) r=cscθr=\csc \theta

Studdy Solution
Identify the type of curve represented by each Cartesian equation.
a) x2+y2=4 x^2 + y^2 = 4 is a circle with radius 2 centered at the origin.
b) x2+y2=3y x^2 + y^2 = 3y can be rewritten as x2+(y32)2=94 x^2 + (y - \frac{3}{2})^2 = \frac{9}{4} , which is a circle with radius 32\frac{3}{2} centered at (0,32)(0, \frac{3}{2}).
c) y=1 y = 1 is a horizontal line at y=1 y = 1 .
The Cartesian equations and their corresponding curves are: a) x2+y2=4 x^2 + y^2 = 4 (Circle) b) x2+y2=3y x^2 + y^2 = 3y (Circle) c) y=1 y = 1 (Line)

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord