Show that Laplaces equation in polar coordinates is urr + 1 r ur + 1 r2 u = 0. Hint: Use x = r cos and y = r sin and the chain rule.

FUNCTIONS AND THEIR GRAPHS NOTES Pythagorean Theorem- For a right triangle with hypotenuse c and length sides a and b. Formula: a^2+b^2=c^2 Distance Formula- To find the distance d between the points (x1,y1) and (x2,y2) in the plane. Formula: d=√(x2 −x1)^2 +(y2 −y1)^2 Midpoint Formula- To find the midpoint of the line...