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Sketch and describe the following sets and their images under the function z → z2.
(a) The set of all points of the form z = x + 2i.
(b) The set of all points of the form z = x + 2xi.
(c) The set of all points on the upper half of the unit circle centred at the origin, that is, points z with polar coordinates (r, ?) such that r = 1 and 0.
The distinct equivalence classes of an equivalence relation on a set A provide us with a decomposition of A as a union of mutually disjoint subsets. Conversely, given a decomposition of A as a union of mutually disjoint, nonempty subsets, we can d..
The median age at first marriage for females increased from 24.5 years in 1995 to 25.1 years in 2000 (U.S. Census Bureau, www.census.gov). Let 1995 be year 5 and 2000 be year 10.
eighty percent of drivers wear seat belts. If three drivers are pulled over, what is the probability that all would be wearing their seat belts?
A garden is rectangular with dimensions 20 m by 25 m . it is surrounded by a walkway. the outside perimeter of the walkway is 114m. The width of the walkway is equal on all four sides of the garden. What is the width of the walkway? use an algebra..
Suppose you have 50 American coins totaling exactly $1. This includes at least one quarter, and may contain nickels, dimes, and/or pennies.
During the first part of a trip, a canoeist travels 98 miles at a certain speed. the canoeist travels 44 miles on the second part of the trip at a speed 5 mph slower. the total time for the trip is 3 hours. what was the speed on each part of the t..
Utilizing malthus method, Suppose that a culture of bacteria has initial population of n=100. If the population doubles every three days
passes under it. How fast is the distance s(t) between the bicycle and balloon increasing 6 seconds later?
Find the amount of water R that flows from the tank during the first 54 minutes. r(t)=307-4t
Assume that the number of highway miles that can be graded , is a function of both the hours of labor and of the number of machines. Find the minimum cost of grading 20 miles given that the hourly rates for labor and machines are $ and $.
- the g.m of 10 items of a series was 16.2. it was later found that one of the items was wrongly taken as 12.9 instead
The perimeter of a rectangle is 42 feet. The length of the rectangle is 3 feet more than twice the width. Find the length and width of the rectangle.
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