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Complete the conjecture:
The center of a circle inscribed in a triangle is the same point as the intersection of the triangle's _?_.
Please prove the following theorem: A system of linear equations has zero, one or infinitely many solutions; there are no other possibilities.
minimum spanning tree of a weighted graph is a graph that is drawn with the length of each edge roughly proportional to the value assigned to each edge - Draw a hexagon with vertices and determine the Minimal Spanning Tree in Graph
Let r be the radius on the incircle of tri ABC and a,b,c be the radii of the excircles opposite vertices A, B, and C, respectively. Ilustrate the fact that 1/r = 1/a + 1/b + 1/c. Also, write a proof of this.
Probability and combination based questions. A golf ball is selected at random from a golf bag. If the golf bag contains 9 Titleist's, 8 Maxflis, and 3 Top Flites, find the probability of each event.
Let I be the ring of integral Hamilton Quaternions and define N: I ->Z by N(a+bi+cj+dk) = a^2 +b^2 +c^2+d^2
Find all the complex cube roots of w= 8(cos 150 + i sin 150). Write the roots in polar form with theta in degrees.
Satisfies the Cauchy-Riemann equations
To determine the dimensions of a rectangular container and evaluate the derivative of the given equation.
Determine the Fourier series for the function. Sketch both the expected Fourier series graphs using Mathcad to check solution.
L1=Lo*sqrt(1-(v/c)^2) where Lo is length of an obiect at rest, c is velosity of light, v is velocity of the object. If L2=Lo*(c^2-v^2)/c^2, what is L1-L2?
Describe the first iteration--i.e. write down the formula for the next point x2 and the decision that has to be made. Solve Numerical Analysis and Root Finding
Given a set of all real numbers containing 4s and 5s in their decimal representation. Determine the given set is countable or uncountable.
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