Elliptic Geometry | Definition & Applications

Consider z = x/4 y/9, an elliptical paraboloid. The contour p... | Filo

EXAMPLE 1 Estimate the volume of the solid that lies above the squareR = [0, 2] ×[0, 2] and below the elliptical paraboloid z = 29 - x^2 - 6y^2. Divide Rinto 4 equal squares and choose the sample point to be the upper right corner ofeach square Rij. Sketch the solid and the approximating rectangular boxes.SOLUTION The squares are shown in the top figure. The paraboloid is the graph off(x, y) = 29 - x^2 - 6y^2 and the area of each square is Δ A =Approximating the volume of the Riemann sum with m

Cylindrical & Spherical Coordinates | Conversion & Examples