PHY 205 Midterm: PHY 205 UMiami Spring 06 f
Document Summary
Math 126, section f, summer 2011, midterm ii. Instructions: you are allowed to use one page of notes in your own handwriting, graphing calculators are not allowed, show your work. If i cannot read or follow your work, i cannot grade it. You may not get full credit for a right answer if your answer is not justi ed by your work: please box your nal answer. Problem 1. (10) consider the curves c1, c2 with the polar equations. C2 r = sin , r = , for : (2) find a cartesian equation for the curve c1. Proof. r = sin = r2 = r sin = x2 + y2 = y: (4) find the equation of the tangent line to the curve c2 at = /2. Plugging = /2 into the right hand side, we get the slope 2/ of the tangent line.
