Consider the solid body which lies above the upper half of the cone x^2 +y^2= 3z^2 and below the sphere x^2 + y^2 + z^2 = 4z. Assume this body is of constant density. Use...
Consider the solid body which lies above the upper half of the cone x^2 +y^2= 3z^2 and below the sphere x^2 + y^2 + z^2 = 4z. Assume this body is of constant density. Use...
A person's BMI is given by I(W,H) = W/H^2, where W is the person's weight in kilograms and H is height in meters. Suppose I am 1.65 meters tall and weigh 54.5 kilograms. After a month, I become 1...
The boundary of a thin plate is an ellipse with semiaxes a and b. Let L denote a line in the plane of the plate passing through the center of the ellipse and making an angle k with the axis...
Let us assume that every vector in S_2 is a linear combination of vectors in S_1. Question: Does that mean that S_1 and S_2 are bases for the same subspace of V? I know that the...
∫∫ √(4v2 + 4u2 + 1) dvdu, with limits of integration 0≤v≤1 & 0≤u≤2 *Note: the entire expression is supposed to be under the square root symbol I have tried...
triple integrals
0∫2(0∫¶/2 xsin(y)dy)dx