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Assume that (X, d) is a metric space and let (x1, : : : , xn) be a nite set of pointsof X. Elustrate , using only the de nition of open, that the set X\(x1, : : : , xn) obtained by removing every xi from X is open in X. (Sketch a picture to get some intuition!)
The value of y that minimizes the sum of the two distances from (3,5) to (1,y) and from (1,y) to (4,9) can be written as a/b where a and b are coprime positive integers. Find a+b.
make an assignment based on congruence of triangle
32gal/min = qt/hr
If PA and PB are tangents to a circle from an outside point P, such that PA=10cm and ∠APB=60 o . Find the length of chord AB.
y'-5y=0
if tan theta =1,find the value of sin4 theta + cos4 theta
Determine if the subsequent series is convergent or divergent. Solution As the cosine term in the denominator doesn't get too large we can suppose that the series term
Explain Bachet Equation?
Let D = 1 denotes the event that an adult male has a particular disease. In the population, it is known that the probability of having this disease is 20 percent, i.e., Pr (D = 1)
Infinite Interval - Improper Integrals In this type of integral one or both of the limits that is upper limit and lower limit of integration are infinity. In these cases the
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