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Find the altitude of a parallelepiped determined by vectors A, B, and C if the base is taken to be the parallelogram determined by A and B and
A=i+j+k
B=2i+4j-k
C=i+j+3k.
Discrete Random Variable Defined on a Finite Sample Space. a) Prove that if X is a discrete random variable defined on a finite sample space, S, then we have E(X) = SUM X(a) P({a}).
Find f'(x) using the appropriate rule and simplify to one expression with positive exponents. Find all values of x, using algebra, where f'(x)=0 (Write your answer with positive exponents)
Show that |Cos(x+iy)|==0 and minus infinity
Construct examples showing that every possible connectivity number occurs (for graphs regular of degree 3):(Kappa) = 0, 1, 2, 3. Kappa = connectivity
Use Gaussian elimination with partial pivoting to find matrices L and U such that U is upper triangular, L is lower triangular with | l_ij| = j and LU = A', where A' can be obtained from A by interchanging rows.
Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability.
The solution to Linear transformations, A linear transformation L: V -- W is said to be one-to-one if L(v1) = L(v2) implies that v1=v2. Show that L is one-to-one if and only if ker(L) = {0v}.
Uniform Distribution and a 20-Sided Die, In this problem there are two ways to solve one is the largest way counting every pair of the outcome and the other is the smallest, using CDF.
Pasta comes with tomato sauce and can be ordered with some , all, or none of these ingredients in the sauce: {onions, garlic, carrots, broccoli,shrimp, mushrooms, zucchini, green pepper}.
Graphing the given function using the graphing utility - Compare with the exact solution w(t) = 2ln(1 + t) + 3.
Using M-method solve the above LP. Does the problem has alternative optimal solution? If so, find all the alternative optimal solutions.
Suppose that X and Y are continuous random variables with joint pdf (probability distribution function). Please give step-by-step process for solving the following problem.
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