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Test Cramer's rule for a random 4 X 4 matrix A and a random 4 X 1 vector b. Compute each entry in the solution of Ax = b, and compare these entries with the entries in A-1b. Write the command (or keystrokes) for your matrix program that uses Cramer's rule to produce the second entry of x.
evolutionary theories often emphasize that humans have adapted to their physical environment. one such theory
Write the formula for angle A in terms of the angels b and c. Also find a when b=20 and c =155 degrees.
Important information about Binomial Random Variable, Four cards are selected, one at a time, from a standard deck of 52 cards. Let x represent the number of aces drawn in a set of 4 cards.
Defining total profits as the difference between total revenue and total cost, express in terms of Q the total profit function of the firm.Determine the output level where total profits are maximized. Show that profit is maximized, rather than minim..
Design a mathematical model for solving this problem and use any gradient method to ?nd an approximation to the solution of the system (either perform 3 iterations manually or use a Matlab/Mathematica program). Hint: minimise the distance between ..
Mariella is selling raffle tickets for a school fundraiser. Adult tickets cost $4 and student tickets cost $3. If she has collected %165 so far, how many adult tickets did she sell?
Find the general solution to the differential equation: t2dy/dt+t(t+2)y=et t>0
Let f(x,y) = 1 - x2 - 2y2 and let S be the surface z = f(x,y). Parametrize the path of steepest ascent up S starting from the point (2, 1, -5). What point does the path approach?
answer each question as a discussion form with 25 to 50 words1make up a differential equation that you feel confident
Each of the numbers 0 through 24 is written on a piece of paper and all of the pieces of paper are placed in a hat. One number is selected at random. Determine the probability that the number selected is even.
Find a matrix A that admits no LU decomposition, even if we only require that L is lower triangular ( not necessarily unit!) and U is upper triangular.
A stone is thrown straight up from the edge of a roof, 925 feet above the ground, at a speed of 10 feet per second.
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