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Determine the stable and unstable manifolds for the rest point of the system:
x' = 2x - (2 + y) e^y y' = - y
Two forces of 255 N and 325 N act on an object. The angle between the forces is 64 degree. Find the magnitude of the resultant and the angle that it makes with the smaller force.
Determine whether or not the given vector field is conservative. If its conservative find f such that F=delta f
Give a counter example and then prove why, i.e., a metric space and a sequence, that disproves the claim: Every Cauchy sequence converges.
Write a Matlab script to do the following. Assign m and n to 3 and 4 respectively, create a m by in matrix with terms a_ij=i*j and call t A and then multiply A by random 4x4 matrix
Determine the equilibrium position of a cylinder of radius 3 inches, height 20 inches, and weight 5pi lb that is floating with its axis vertical in a deep pool of water of weight density 62.5 lb/ft^2.
Accurately and neatly graph and label each of the equations and estimate the point of intersection of the two lines.
Give a sketch of the graph of the function V(t). Your graph can be a "rough draft" and evaluate the value of the fax machine in years 0, 1 and 4. to the nearest tenth.
Consider a state lottery that has a weekly television show. On this show, a contestant receives the opportunity to win $1 million. The contestant picks from 4 hidden windows
Recall that an element a is called algebraic over a ring (or field) R if a is the root of some polynomial in R[x].
True or False. In a multinomial experiment, all outcomes of each trial can have several categories. In finding Expected Frequency you multiply what divided by what?
A random sample of 11 patients using the drug is selected. Find the probability that exactly two will have this mild side effect
Chandeliers Corp. has no debt but can borrow at 7.9 percent. The firm's WACC is currently 9.7 percent, and the tax rate is 35 percent. What is the company's cost of equity?
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