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Find the basis and dimension of the eigenspace of
[1 0 3][0 1 0][0 0 1]
In a rooted binary tree with 16 vertices, there must be a path of length 4. No tree has a Hamilton path.
Calculate the mean, variance, and standard deviation of this distribution.
What is the probability that a bridge hand is drawn? Find the probability of the following card hands from a 52-card deck
What is an example of a linearly dependent set of three vectors with the property that any single vector can be removed from the set without changing the span of the set?
Use polar coordinates to find the volume of the given solid.
If 1400 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Choose the best decision maximax and maximin principle
Recall that in Theorem 1.1.3 we proved that O is the center of the circumscribed circle, that is, a circle containing the vertices A, B, and C of the triangle. Use the Two-Reflections Theorem to prove that the inscribed angle ABC is measured by ha..
suppose a motorboat is moving at 40ft/s when its motor suddenly quits and that 10s later the boat has slowed to 20ft/s. assume that the resistance it encounters while coasting is proportional to the square of the velocity (v'=-k(v^2)) how far does..
Let R1 and R2 be two rays with a common vertex with an angle strictly less than pie(3.14). Construct the angle bisector ray B. In the setting of the previous problem, if you were given R1 and B, how would you construct R2?
What is the line of symmetry? Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h)2 + k.
Let the sum from n=m to infinity of a_n be a series of real numbers converging to x, and let k be an integer. Then the sum from n=m+k to infinity of a_n-k also converges to x.
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