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1. Find the volume of the solid region which lies under the surface z = x2y and which lies over the parallelogram with vertices (0,0), (0,1), (6,0), and (6,1).
2. Compute
½∫1 √(1-x2)∫x√3 (x2 + y2) dy dx + ½∫1 √(1-x2)∫x√3 (x2 + y2) dy dx + 2∫4 0)∫√(16-x^2) (x2 + y2) dy dx.
town A is 60 km due east of town B. Town C is 144 km from town A at a bearing (from A) of N57degreesE. How far apart are towns B and C?
There are two lines through the point (2,-3) that are tangent to y=x²+x. Find the x-coordinates of the points where these lines touch the parabola.
The displacement s cm of the end of a stiff spring at time t seconds is given by: s = a (e^-kt) sin 2πft. Determine the velocity and acceleration of the end of the spring after 2 seconds if a = 3, k = 0.75 and f = 20.
An equilateral triangle has vertices at (0,0) and (6,0) in a coordinate plane. what are the coordinates of the third vertex?
suppose the following game. a player rolls two dice. if the outcome on both dice is the same doubles the player wins 5.
How to understand the idea to find sum with infinite many terms? How is idea related to definite Integral? What is strategy to use the comparison tests: Direct and Limit Comparisons tests
What are the Sum of Squares between (SSB) and what is the degress of freedom within (dfW)
Prove that if P is any point in a regular tetrahedron of height h, then the sum of the perpendicular distances from p to the four faces of the tetrahedron is equal to h.
A realty company has 100 homes listed for sale. Some of these homes have fireplaces, some have garages, and some have neither. A breakdown is provided in the two-way classification table below.
Find the expected value and the variance of X, the number of inspected bottles with serious defects.
imagine covering an unlimited plane surface with a single layer of pennies arranged so that each penny touches six
What do you think the big ideas in mathematics are, And what might they be for young children and how is mathematics usually represented by, and to, people?
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