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a) Compute the integral of xdz (|z|=r) for the positive sense of the circle in two ways first by using parametrization and second by observing that x=(1/2)(z+z conjugate)=(1/2)(z+r^2/z) on the circle.
b) Compute the integral of dz/(z^2-1) (|z|=2) for the positive sense of the circle. PS - Here maybe we have to find first a primitive function of the integrand.
Probability : Combinations, Mr james just won 6 tickets for each of 2 consecutive Giants home football games. For the first game, Mrs James will not be able to attend so he has 5 extra tickets.
Solve the given triangle.
Give an example of a nonlinear system of two equations in two unknowns having: Based on your work, how would you devise a method for finding such a system having exactly n solutions?
what is the probability of drawing an orange marble? Give solutions exactly in reduced fraction form.
What is the probability that at least 50 customers pay in cash? What is the probability that no more than 15 customers pay in cash? What is the probability that more than 20 and less than 40 customers pay in cash?
Show that if 7 integers are selected from the first 10 positive integers there must be at least 2 pairs of these integers with the sum 11
If the random variable z is the standard normal score, which of the following probabilities could easily be determined without
The linear equation x=-1 graphs as a horizontal/vertical/diagonal line(choose the correct label). Describe how you determined your answer.
Mike, who is standing on the deck of a yacht that is traveling due west at 6km/h, sees a sailboat sailing southwest at 4km/h, 3 km northwest of the yacht. How close to each other do these boats get?
Suppose that f is continuous on [a,b], f(z) 0. Set z = sup{x: f (t)
A stone is dropped from a high cliff and falls with velocity v = 32t feet per second. How many feet does the stone travel during the first 3 seconds?
At the the Pittsburg zoo, children ride a train for 25 cents, adults pay $1.00, and Senior citizens 75 cents. On a given day, 1400 passengers paid a total of $740 for the rides.
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