The equation z^2+y^2+x^2 = 4, represents the surface of a sphere. Using implicit differentiation, calculate ∂y/∂x(deltay/deltax) at the point [7,3,−3].

Parametrize the circle of radius 7 centered at (-2, 3) in the clockwise direction starting at (-2, -4). y =

Use traces to sketch the graph of the function y = x^2+z^2. For each variable,sketch the traces seen when that variable is equal to 0, ±1, and ±2. Then sketch the solid itself.