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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.
One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations of X and Y:
Calculate the mass of the solid contained by the ellipsoid (x2/a2) + (y2/b2) + (z2/c2) = 1 given constant mass density β. Hint: You want to do TWO transforms.
Is there sufficient evidence to support the claim that women in the different age categories have different mean blood pressure levels?
Write this as an augmented matrix, call it T . (b) Solve the linear system from part (a) in terms of the free variable f4 . (c) If the traffic is regulated on CD so that f4 = 10, what will the average flows on the other streets be? (d) What is the..
The tank has height 7 m and the diameter at the top is 6 m. If the water level is rising at a rate of 18 cm/min when the height of the water is 2.5 m, find the rate at which water is being pumped into the tank.
application of differential calculus maximization and minimization.you run a small furniture business. you sign a deal
Find all subfields of Q ( sqrt2, sqrt 3) with proof that you have them all. What is the minimal polynomial of sqrt2+ sqrt3? Which subfields does it generate over Q?
jan had a beaker that contained 104 mL of acid and 783 mL of water. What percent of this total mixture is acid?
What is stock and what is bonds? What does it mean to be a stock holder? Why does a company issue stock?What is common stock? What is preferred stock
Determine which coin is the counterfeit coin in as few weightings as possible. Does your method also allow you to state whether the counterfeit coin is heavy or light?
Find the dimensions of a rectangle with area 125000 m2 whose perimeter is as small as possible. (Give your answers in increasing order, to the nearest meter.)
Cole's student loans totaled $31,000. One of his loans was at 2.8% simple interest and the other at 4.5%. After one year, Cole owed $1024.40 in interest. What was the amount of each loan.
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