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Find the solution to the given system for the given initial condition
x'(t)= [1,0,-1;0,2,0;1,0,1]x(t)
for
a.) x(0)= [-2;2;-1]
b.) x(-pi)=[0;1;1]
Suppose that N and M are two normal subgroups of G and that N intersection M = (e). Show that for any n belongs to N, m belongs to M, nm = mn.
Problem on speed.
Linear programming problem consisting of only two constraints with one objective function.
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Prepare an equation for the number of cups you sell as a function of the price you charge - Write an equation for the number of cups you sell as a function of the price you charge. Denote "C" for number of cups, and "P" for the price you charge.
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Find the slope and the y-intercept of the line represented by the equation: 2x + y = 14. Write the equation of a line in slope-intercept form with the slope of -4/5 and y-intercept (0, -3)
Hamilton Quaternions : Kernels and Images, Show that the map phi: H->M_2(C) defined by phi(a+bi+cj+dk)=(a+b(sqrt -1),c+d(sqrt-1);-c+d(sqrt-1),a-b(sqrt-1)) is a ring homomorphism
Rewrite the following system of equations as an augmented matrix. Put the matrix in reduced row echelon form to find the solution to the system of equations.
In a triangle ABC, if r 1 is the exradius of the excircle opposite to A, r 2 is the exradius of the excircle opposite to B and r 3 is the exradius of the excircle opposite to C
Write the two equations in slope-intercept form, and then determine how many solutions the system has.
Perform the indicated operation - Find the product. (x 3 - 5x 2 -1) 7x 2
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