Region with a shape of an equilateral triangle
A region with a shape of an equilateral triangle can be completely covered by 5 identical tiles that are also equilateral triangles (but smaller than the region being covered). Prove that it is possible to cover the region using just 4 of the tiles.
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Please discuss that any convergent sequence in a metric space is bounded. Then find a bounded sedquence of real numbers that is not convergent.
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If p(x) is a degree four polynomial with real coefficients and p(x) increases on each of the intervals [0, 0.2], [0.4, 0.6], and [0.8, 1], prove that p(1)>p(0).
Please discuss and details of Numerical Mathematic and Computing for single precision representation of:
A region with a shape of an equilateral triangle can be completely covered by 5 identical tiles that are also equilateral triangles (but smaller than the region being covered). Prove that it is possible to cover the region using just 4 of the tile
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Determine all the Eigen values and the corresponding eigen values for each of the eigen values for the following matrix. it is a 3x3 matrix. A= l 3 5 3 l l 0 4 6 l l 0 0 1 l
For the matrix A, (a) determine k such that Nul A is a subspace of R^k, and (b) compute k such that Col A is a subspace of R^k.
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