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Let x = x(u, v) = u + v^2, and y = y(u, v) = u^2 + v^4.
(a). Find out where the Jacobian of the transformation equals 0, and find the chambers in the u-v plane where the Jacobian is positive and the chambers where it is negative.
(b). Find the curves in the x-y plane that correspond to the rays in the u-v plane where the Jacobian equals 0. (One of the curves is only half a curve!)
(c). As you go counterclockwise about the origin in the u-v plane, describe the corresponding motion in the x-y plane, using your answer to part (a).
If one gallon of paint has a volume of approximately 4000 cm3, what is the maximum number of whole gallons of paint that can be poured into the bucket?
The population of a community is known to increase at a rate proportional to the number of people present at time t
Students with a class size of under 30,have finished their tests. One third of the class received a "B," one quarter a "B-",and one sixth a "C".
Decision Analysis with Decision Tree, Jack Nimble, an employee of Daniel Construction Company, claims to have injured his back as a result of a fall while repairing the roof at one of the Eastview apartment buildings
Use properties of moduli to sow that when |z3| does not equal |z4|, Re(z1 + z2) / |z3 + z4|
a rectangle is bounded by the x- and y- axes and the graph of y=6-x/2. What length and width should the rectangle have so that its area is a maximum?
Determine the angle of the launch to obtain the maximum length of the trajectory. Let v0 = 96 feet per second
An estimated 8% of men and O.5% of women are colorblind. If a colorblind person is selected at random, what is the probability that the person is a man?
How could you interpret infinity in the y values for costs, a negative x value for time, or a horizontal asymptote in y values for profits?
The mean PCB concentration for fish the lake exceeds 5 ppb
Use the leading coefficient test to determine the behavior of the function.
(a) How many committees of six can be formed from the club membership? (b) How many committees will contain at least three men who, in the preliminary survey,favored opening membership to women?
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