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1. Evaluate the double integral.
∫∫D 3y2 dA, D is the triangular region with vertices (0, 1), (1, 2), (4, 1).
2. Find the volume of the given solid.
Under the plane x - 2y + z = 9 and above the region bounded by x + y = 1 and x2 + y = 1.
3. Find the volume of the given solid.
Under the surface z = 5xy and above the triangle with vertices (1, 1), (4, 1), and (1, 2)
View the answers from (a) as two linear equations in two "unknowns" (∂z/ ∂x and ∂z/ ∂y). Solve these equations to write ∂z/ ∂x and ∂z/ ∂y terms of ∂z/ ∂τ and ∂z/ ∂θ.
The preferred stock of Gapers Inc. pays an annual dividend of $6.50. What is the price of the preferred stock if the required return.
Identify and sketch the graph of the conic described by the quadratic equation x^2 + 4xy + y^2 - 12 = 0. Do this by writing this equation in matrix form
Use the limit comparison test to determine if this series converges or diverges.
a certain sum of money amounts to Rs.312 at 4% interest: Rs.324 at 8% interest. find the principal and period of time.
Similarly, one additional unit will be occupied for each 6 dollar decrease in rent. What rent should the manager charge to maximize revenue.
The base of an aquarium with volume V = 215 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
Using law of cosines for solving the problem.
Determine an equation for the right bisector of the line segment with endpoints P(-5,-2) and Q(3,6)
An equilateral triangle has each side 4x units long. Find its area both by the standard formula, A=(1/2)bh and by Heron's Formula and verify the results are equal.
An air conditioning manufacturer produces room air conditioners at plants in Houston, Phoenix, and Memphis. These are sent to regional distributors in Dallas, Atlanta, and Denver. The shipping costs vary, and the company would like to find the lea..
Find a vector equation for the line through the point P = (-4, -1, 1) and parallel to the vector v = (1, 4, 3).
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