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Prove: For any given circles R and R' in C_oo, there is a mobius transformation T such that T(r)=R'. Further, we can specify that T take any 3 points on R onto any 3 points of R'. If we do specify Tz_j for j=2,3,4 (distinct z_j in R), then T is unique.
Let G be a group (finite or infinite) and let a and b in G. Let o(a) represent the order of a. Suppose G is abelian and both a and b are of finite order. Show that ab is of finite order and o(ab) divides o(a)o(b).
This assignment has two question related to maths. Questions are related to bifurcation cascade and logistic map.
What was the smallest possible number of people? What are all possible numbers of people?
Probability of drawing the following card. One card is drawn from an ordinary deck of 52 cards. Find the probability of drawing the following card
Given A = a*p_hat + b*psi_hat + c*z_hat (cylindrical unit vectors), where a, b, and c are constants. Is A a constant vector (uniform vector field)? If not, find: the divergence and curl of A
A plane flying at an altitude of 25,000 ft. has a defective airspeed indicator. To determine her speed, the pilot sights a fixed point on the ground. At the moment when the angle of depression
Find the distance of the ship from the lighthouse.
Solve the equation on the interval.
In the following case, state if the following set of vectors are linearly independent or linearly dependent. Justify your answer.
Choose one equation of each type: linear, quadratic, polynomial, rational, exponential, and log. Plot each equation on the same graph. Discuss and compare the appearance of each graph.
Apply normal distribution methods to approximate this binomial distribution.
Sufficient evidence to suggest that the democratic candidate.
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