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1. Find the volume of the solid lying under the elliptic paraboloid (x2/4) + (y2/9) + z = 1 and above the rectangle R - [-1, 1] times [-2, 2].
2. a. Sketch the region of the integrate and change the order of integration of integrate 0∫1 integrate 3y∫3 ex^2 dxdy.
b. Evaluate the integral 0∫1 integrate 3y∫3 ex^2 dxdy by evaluating the integral in (a) in which the order of integrate has been reversed.
Find all points where the tangent plane to the surface is parallel to the plane z = 3x + y. Find the symmetric equations for the normal line to the surface at the point (1, 1, 2).
the area of a rectangle is 991cm square. if 991 is a prime number what are the whole number dimensions of the
Find a position vector of a particle that has the acceleration a(t) = if v(0) = and r(0) = .
what are the length and width of a rectangle traffic sign if the length exceeds the width by 15 inches and the perimeter is 158.
represents an estimate of the average cost of gas for year x starting in 1997 ("Consumer price index," 2006). The year 1997 would be represented by x = 1, for example, because it is the first year in the study. Similarly, 2005 would be year 9, or ..
Present your final solutions as decimal approximations carried out to the third decimal place. Due to the nature of these solutions, no check is required.
problem its been a busy weekend for larry. five people in his neighborhood left on vacation saturday morning and each
How can I get moment in nonlinear bridge system? Could you provide an example as well?
a 52-year-old client asks an accountant how to plan for his future retirement at age 62. he expects income from social
Find the equation of the tangent line to the graph of the function f(x) = x + 3^-2x - 2sin(x) at the point with x-coordinate 0.
A bag contains 10 red, 12 green, and 8 yellow marbles. Assuming that all marbles are equally likely to be picked from the bag
finding the exact value of cosalpha-betalet cos alpha 2425 where alpha has its terminal side in the first quadrant and
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