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a) Define a topological space X with a subspace A. Find and describe a pair of sets that are a separation of A in X. b) Also define a topological space X that is not compact and define a set A ⊂ X that is compact. Use the definition of finite open subcovers to show that A is compact.
If 80% of the connectors are kept dry and 205 are wet, what proportion of the connectors fail during the warrnty period?
A bookcase is to be constructed. The length is to be 3 times the height. If 60 feet of lumber is available for the entire unit, find the length and height of the bookcase
Find the area between the x-axis and the curve y = x3 from x = 0 to x = 2 by finding the general formula for lin and then taking lim lin . rt—oo Use the formula: 13 + 23 + 33 + • • • + n3) =
f(z) is defined by the equations: f(z)=1 when y 0, and C is the arc from z=-1-i to z=1+i along the curve y = x^3. The answer is given as 2+3i.
find the three qualitatively different regimes of growth from the given data.human populations are sometimes modeled by
within 5minutes of waking we forget half of our dreams within ten minutes we forget ninety percent. if we remember 3
after how many seconds will it hit the ground?
A building is 133 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 17 inches tall. Which scale will allow her to make the tallest model that will fit in the ..
Use the quadratic formula to find out how long after the rocket is launched it will hit the ground. Round to the nearest tenth of a second.
A 180-lb person compresses a bathroom scale 0.060 in. If the scale obeys Hooke's law, how much work is done compressing the scale if a 90-lb person stands on it?
Control A certain machine that is used to manufacture screws produces a defect rate of .01. A random sample of 20 screws is selected. Find the probabilities that the sample contains the following
What value would you expect to find for the standard deviation of all these sample means? (round to the nearest integer)
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