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Prove that a set A, a subset of the real numbers, is compact if and only if every sequence {an} where an is in A for all n, has a convergent subsequence.
The region in the first quadrant that is bounded above by the curve y=1/vx, on the left by the line x=1/4, and below by the line y=1.
When Maria was considering buying the peanut butter cookie plant, one of her options was to convert it to make more lemon crème cookies.
Between (0,0) and (0,2), the triangular region between those points on the y-axis and the straight line x=3y/2 using the formula V=?p[R(y)]²dy
Suppose the volume of a cylinder (think about the volume of a can) is given by V = pr2h where r is the radius of the cylinder and h is the height.
The pasture must contain 180,000 square meters. What dimensions would require the least amount of fencing if no fencing is needed along the river?
Exactly how many minutes is it before eight o'clock, if 40 minutes ago, it was three times as many minutes past four o'clock?
Water is being pumped into the pool at 1/4 cubic meter per minute, and there is 1 meter of water at the deep end.
The number of calories K needed each day by a moderately active man who weighs w kilograms, is h centimeters tall, and is a years old can be estimated.
Given a line l and a point P not on l, I contructed a line that contains P and meets l at a 45 degree angle using a compass.
Calculate the return (A) if the bank compounds monthly (n=12) show work.Calculate the return (A) if the bank compounds annually (n=1) show work.
Proof that f is continuous for each x in D in accordance with the epsilon-delta defitinition of continuity(can use the defintion involving f(x+h)
Any open subset U of a compactly generated space X is compactly generated if each point has an open neighborhood in X with closure contained in U.
Four cities plan to build a new airport to serve all four communities. City B (population 180,000) is 4 miles north and 3 miles west of city A.
One hundred piece of the candy are poured into a graduated cylinder with a 30 diameter.
The volume of a cylinder (think about the volume of a can) is given by V = pr2h where r is the radius of the cylinder and h is the height of the cylinder.
An engineer's plan shows a canal with a trapezoidal cross section that is 8 ft deep and 14 ft across at the bottom.
Create a graph with four odd vertices.Provide complete and step by step solution for the question and show calculations and use formulas.
A diagonal walk through a small rectangular garden 9 meters by 12 meters can be built at $10 per linear meter. How much will the walk cost?
The symmetric difference of two sets A and B, denoted by A ?B, is defined by A ? B = ( A - B ) U ( B - A ); it is thus the union of their differences.
Using the method of cylindrical shells to find the volume of the solid rotated about the line x=(-1) given the conditions: y=x3 -x2;y=0;x=0.
Find a necessary and sufficient condition for five points to form a projective frame in a three dimensional projective space P.
Find the volume of the solid that is generated by rotating the region formed by the graphs of y = x2, y =2 and x = 0 about the axis.
Let z1 and z2 be two points on a circle C. Let z3 and z4 be symmetric with respect to the circle. Show that the cross ratio (z1,z2,z3,z4) has absolute value 1.
What is the total area that the cow is capable of grazing, show how you arrived at that answer.