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Which of the following sets are linear spaces?
a) {X = (x1, x2, x3) in R3 with the property x1 - 2x3 = 0}
b) The set of solutions x of Ax = 0, where A is an m × n matrix.
c) The set of 2 × 2 matrices A with det(A) = 0.
d) The set of polynomials p(x) with R1 -1 p(x) dx = 0. e) The set of solutions y = y(t) of y'' + 4y' + y = 0.
If $37000 is borrowed for 8 years at 8.25% interest, compounded annually, and then paid in full at the end of that period, how much must be paid back at that time?
You want to estimate the mean score within 10 points with 90% confidence. How large an SRS of scores must you choose?
The dimensions of a closed rectangular box are measured as 80 centimeters, 90 centimeters, and 70 centimeters, respectively, with the error in each measurement at most .2 centimeters. Use differentials to estimate the maximum error in calculating ..
e customer (i.e. you design your strategy by looking primarily at what your customers want) or competitor (i.e. you design your strategy based on the actions of your competitors) oriented.
If a rock is thrown upward on the planet Mars with a velocity of 19 m/s, its height (in meters) after t seconds is given by H = 19t - 1.86t2.
Find the average value of the function f(x) = cos^3x on the interval 0
The angle of elevation of the sun is decreasing at a rate of 0.25 rad/h. How fast is the shadow cast by a 400-meter-tall building increasing when the angle of elevation of the sun is pi/6?
A box with a square base has length plus girth of 106 in. (Girth is the distance "around" the box.) What are the two possible lengths of the box, if its volume is 2200 in3?
Write and graph a piecewise-defined function that gives the depth of the snow during the snowstorm. How many inches of snow accumulated from the storm?
Make a new variable called BMIDIFF by computing the BMI difference for each twin pair.
Graph this equation and find an appropriate domain and range.
Fischer and Spassky play a sudden-death chess match whereby the first player to win a game wins the match. Each game is won by Fischer with probability p, by Spassky with probability q, and is a draw with probability 1 - p - q.
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