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Compute these vector quantities.
1) (i+3j-k) X (4i-j+2k)2) (-i+3j+4k) X [(2i-j-k)x(i+j-3k)]
Find the characteristic equation for the matrix below and determine its eigenvalues and the corresponding eigenvalues.
-2 4 0
1 1 0
-3 4 3
Find the equations for the indicated geometrical objects:
1) the plane containing the line (3t,-t,1-2t) and orthogonal to the plane x-4y+3z=5.
2) the line through the point (2,-1,3) and perpendicular to the plane x-4y+3z=5.
Do the data indicate a significant difference in average off-schedule lime? Use a 5 percent level of significance.
Let D be the linear differential operator defined on the vector space V of infinitely differentiable functions f: R-->R by D(f)=F
Obtain the composite functions f(g(x)) and g (f(x)), and find all (if any) values of x such that f(g(x)) = g (f(x))
Analyze the data using graphical representations & numerical summaries.
Evaluate the number of ways between two town from the word problem - How many ways are there to go from A to C?
Probability problems based on Poisson & Normal distribution
Solving probability problems based on combinations
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
Fishing and Probability. Last week, Pat caught n distinct fish from Lake Nebagamon, but threw all of them back at the end of the fishing trip. Next week, Pat will go fishing again at the same place,
A linear transformation L:V->V is said to be idempotent if L dot L = L. If L is idempotent, show that there exists a basis S={a1,a2,...,an} for V such that L(ai)=ai for i= 1,2,...,r
Expressing the given exponential function as a power series by determining its coefficients.
Now choose a linear inequality of the form 5y 2x - 8. What are the major differences between the linear equation graph and the linear inequality graph?
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