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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).
What are the odds that a randomly selected number between 1 and 100 will not have a digit 7?
Use the Lagrange interpolating polynomial of degree three or less and four-digit chopping arithmetic to approximate cos 0:75 using the following values. Find an error bound for the approximation.
Find all the complex cube roots of w= 8(cos 150 + i sin 150). Write the roots in polar form with theta in degrees.
A major credit card company has determined that customers charge between $100 and $1100 per month. Given that the average monthly amount charged is uniformly distributed, what percent of monthly charges are between $100 and $1100?
An open rectangular box is to be constructed from material that costs $12/ft2 for the bottom and $10/ft2 for its sides. Find the dimensions of the box of greatest volume that can be constructed for $81.
the well circulated air mixture is vented from the room at the same rate, find a formula for the percentage of carbon monoxide in the room at time t?
Which is the most economical purchase?
The rate of change of the frequency (f) of an electronic osillator with respect to the inductance (L) is df/dL = 80(4 + L)^-3/2, find (f) as a function of (L) if (f) = 80 Hz for L = 0H.
Let i be an integer with 1
If I am correct, the answer guide says this one converges but my answer is going to infinity which is diverges. I need to see your steps to compare with mine please.
A 42 inch piece of string is cut into two pieces. One piece is used to form a circle and the other to form a square. The two peices of string are not equal in length. How should the string be cut so the sum of the areas is a minimum?
a bank gives you a loan of 1000 now. You have to make a payment of 500 after 9 months and a payment of 600 after 12 months. What is effective annual interest rate?(set up equation for B(beta)
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