The temperature on a unit sphere x^2 + y^2 + z^2 = 1, is given by a temperature distribution
T(x,y,z) = 50.(xy + yz)
What is the temperature difference between the coldest and warmest point on the sphere?
A circle of radius 1 is tangent to the parabola y=x^2 as shown. Find the gray area between the circle and the parabola?
Find the angle in which these two curves intersect each other: 1) xy=1 2) x^2-y^2=1