Questions from General Calculus

Q: Use polar coordinates to evaluate ∫_0^3 ∫ (-√(9

Use polar coordinates to evaluate ∫_0^3 ∫ (-√(9-x^2 ) ^(√(9-x^2 ) (x^2+xy^2) dy dx

Q: Use spherical coordinates to evaluate ∫_(-2)^2 ∫_0^(√(

Use spherical coordinates to evaluate ∫_(-2)^2 ∫_0^(√(4-y^2 ) ∫_(-√(4-x^2-y^2 ) ^(√(4-x^2-y^2 ) y^2 √(x^2+y^2+z^2 ) dz dx dy

Q: The contour map shows wind speed in knots during Hurricane Andrew on

The contour map shows wind speed in knots during Hurricane Andrew on August 24, 1992. Use it to estimate the value of the directional derivative of the wind speed at Homestead, Florida, in the directi...

Q: Find parametric equations of the tangent line at the point (-2

Find parametric equations of the tangent line at the point (-2, 2, 4) to the curve of intersection of the surface z = 2x2 - y2 and the plane z = 4.

Q: The joint density function for random variables X and Y is

The joint density function for random variables X and Y is (a). Find the value of the constant C. (b). Find P (X 1). (c). Find P (X + Y

Q: A lamp has three bulbs, each of a type with average

A lamp has three bulbs, each of a type with average lifetime 800 hours. If we model the probability of failure of a bulb by an exponential density function with mean 800, find the probability that all...

Q: Find the local maximum and minimum values and saddle points of the

Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the importa...

Q: Find the local maximum and minimum values and saddle points of the

Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the importa...

Q: Suppose f is a differentiable function of one variable. Show that

Suppose f is a differentiable function of one variable. Show that all tangent planes to the surface z = x f (y/x) intersect in a common point.

Q: Find the absolute maximum and minimum values of f on the set

Find the absolute maximum and minimum values of f on the set D. f (x, y) = 4xy2 - x2y2 - xy3; D is the closed triangular region in the xy-plane with vertices (0, 0), (0, 6), and (6, 0)