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How can one prove that the 4 midpoints of the four sides of any quadrilateral form the vertices of a parallelogram using graph geometry (ie. x1, y1 etc. to denote the four vertices)?
Let X be a subset of R, let E be a subset of X, let x_0 be an adherent point of E, and let f: X-->R, g: X-->R, h: X-->R be functions such that f(x)
Let P : C -> R be defined by P(z) = Re z; show that P is an open map but it is not a closed map. ( Hint: Consider the set F = { z : Imz = ( Re z)^-1 and Re z doesn't equal to 0}.) Please explain every step and justify.
Probability: Type of Accommodation. type of accommodation number. find the indicated probability
Calculate the breakeven point
The linear equation x=-1 graphs as a horizontal/vertical/diagonal line(choose the correct label). Describe how you determined your answer.
At a certain time, the temp is maintained constant, the P=100ln/in^2 and is increasing at 4 lb/in ^2. At what rate is the volume changing when it is 60 in^3?
An IRS auditor randomly selects 3 returns from 59 returns of which 10 contain errors. What is the probability of her selecting NONE of those that contain errors?
To pass a course, you must have a final average of at least 60%. If a student scores 42 and 74 on the first two tests, what must be earned on the third test to pass the course?
Use a graphing device to graph the polar curve. Choose the parameter interval to make sure that you produce the entire curve.
Explain and give examples for the following:- Equivalent sets vs. Equal sets-Cardinality of sets and how cardinality relates to the number of subsets of a set
Suppose f and g are functions analytic in a domain D. If z_n is a bounded sequence of distinct points in D and if f(z_n) = g(z_n) for all n, show that f(z) = g(z) for all z in D.
Evaluate the Equation of the line which passes through the two given points and Write down the equations of the line described in the following questions
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