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Suppose that at a certain instant the volume is 540 cubic centimeters and the pressure is 83 kPa and is decreasing at a rate of 11 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant?
A survey was mailed to a total of 400 students; 100 were randomly selected from each of the freshman, sophomore, junior and senior classes last semester. What sampling method was used?
A test consists of 810 true or false questions. If the student guesses on each question, what is the standard deviation of the number of correct answers?
Normal Approximations to Binomial Probabilities, Mathematics Study Centre was established to help students to solve mathematics and statistics problems
Using a suitable change of variables, find the solution of (1/4)y''-((4z 2 +3)/(4z))y'+(z 2 +1)y=z 4 e (2z) , y(0)=y(1)=0.
Assume that for each type of system below there is at least one variable with a nonzero coefficient. Find the smallest and largest rank possible for the corresponding augmented matrix in each case.
Matrices are the most common and popular way to solve systems of equations. Provide an example of a matrix that can be solved using Gaussian elimination. Show specifically how row operations can be used to solve the matrix.
If the solution to an equation is imaginary or irrational, it takes a bit more effort to check. Replace x by each given number to verify the following statement.
Find the range for the measure of the third side of a triangle with the given two sides 31 and 4.
Amy plans to paint both sides of a fence whose base is in the xy-plane and is given by the points (x,y) where x = 30cos^3(t) and y = 30sin^3(t) for 0
Find the breakeven volume as a percentage of capacity.
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
jim has traveled 5/6 of his total trip. he has traveled 520 miles so far. how many more miles does he have to travel?
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