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Suppose A is a 4 X 3 matrix and b is a vector in R4 with the property that Ax = b has a unique solution. What can you say about the reduced echelon form of A? Justify your answer.
seating capacity of six is to be used by six employees who have formed a car pool. If only four of these employees can drive, how many possible seating arrangements are there for the group?
Explain why the approximation (1.01)6 ≈ 1.06 is reasonable. Find all of the critical numbers of the function f(x) = |sin(πx/2)|
What angle above the horizontal does the path in that direction begin - What is the rate of ascent in that direction?
The members of each basketball team wear numbers on the back of their jerseys. What scale of measurement are these numbers considered?
An ice chest contains six cans of apple juice, eight cans of grape juice, four cans of orange juice,and 2 cans of mango juice. What is the probability of selecting a can of apple juice
Find the vertical and horizontal asymptotes. Find the interval where the function is increasing. Find the intervals where the function is decreasing.
Five schoolchildren are weighed in pairs. The readings (in kilograms) are: 58,60,61,64,64,65,67,68,70 and 71. Find the weights of individual children.
Evaluate the width of the lake and Show your method of solution. You may use geometric vector
During the first part of a trip, a conoeist travels 82 miles at a certian speed. The canoeist travels 36 miles on the second part of the trip at a speed 5mph slower. The total time for the trip is 3 hrs. What was the speed on each part of the trip..
Four pairs of data yield r = 0.942 and the regression equation y = 3x. Also, y-bar equals 12.75. What is the best predicted value of y for x = 2.9?
Suppose that V is a complex (i.e. F = C) inner-product space. Prove that if N, an element of L(V), is normal and nilpotent, then N = 0.
find any absolute or local maximum and minimum values of f(x)=8-2x if x≥6.
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