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Suppose I have a finite set of points on the real plane, and I want to find the univariate polynomial interpolating all of them. Lagrange interpolation gi...
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X is compact set iff X closed and pre-compact. X is called pre-compact if $\overline{X}$ is compact. But in some texts, I found that X pre-compact is tota...
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Find the Cartesian equation for the perpendicular bisector of the line joining A(2,3) and B(0,6) How do I do this? Thank you!
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Suppose there's a right-angled triangle inside a rectangle in the following way: (just take any right-angled rectangle, "rotate" it and draw a rectan...
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Do you know the proof for the following statement or where I can find it? Semidirect product of solvable groups is solvable? I thought that this property ...
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I have been given these instructions: Cut out sector from a circle having central angle $\theta$ and radius r Form a cone from what's left of the cir...
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The points $P = (x_1, y_1)$ and $Q(3, 4)$ are on the line $y=kx+m$. What are the coordinates of point $P$ ? Given $m = -2$ $P$ is on the line $x=2$ We nee...
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Sorry for the simple problem, but I wanted to make sure that my idea is right (this is is the problem 1.8.50 from Rice's book) Two dices are rolled a...
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I was given this assignment to do the following. Write a paragraph proof for the following scenario. Given: $ KLMN $ is an isosceles trapezoid. Prove: $ \...
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I am looking for an easy derivation for the area of an obtuse triangle. As everybody knows the formula for any triangle is the same: half the product of t...
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