Find the surface area of the part of the paraboloid z=5-3x^2-2y^2 located above the xy plane. (10 points) z

Use the formula

Step-by-step explanation:

Let be the explicit parametrization of the paraboid. The intersection of this paraboid with the xy plane is the ellipse given by

The partial derivatives of the parametrization are:

and computing the cross product we have

. Then

Then,  if is the interior region of the ellipse the superficial area located above of the xy  is given by the double integral

The last integral is not easy to calculate because it is an elliptic integral, but with any software of mathematics you can obtain this value.

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.

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