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1) A river 35 m wide flows south at a speed if 15 m/s. What must be the velocity and heading of the boat if it is to move directly from the west bank to the east bank in 5 seconds?
2) Two tractors are hooked to a combine. the combine needs to be pulled due east at 400 N. One tractor is pulling at 190 N, 32degrees S of east. What angle and force must the second tractor be doing?
Describe how you would calculate the odds of winning the jackpot. Do you think it is worth it to buy a ticket? Why or why not?
Blood pressure measurements are taken on a set of patients before & after they receive a lumbar puncture [spinal tap]. You are interested in determining if there is a difference between mean arterial blood pressure between the pre & post measures. Wh..
The mean PCB concentration for fish the lake exceeds 5 ppb
Suppose A divides N and B divides N. Does this always imply: A * B divides n? Now the question is under what condition A*B will always divide N? Prove it.
Let M be a two by two matrix for which each element is a real number, and let S be the set of all such matrices. Consider the mapping f of S to the real numbers R defined by the relation f(M) = determinant of M.
Tom and Jim decided to play the following game for points. A single die is rolled. If it shows a non-prime number, Tom receives points equal to two times the number of dots showing
Show that the functions 1, x and cosx are orthogonal on the interval -(pi)
Determining the dimensions of a rectangle of maximum area that is formed by x- axis and a semi circle - What length and width should the rectangle have so that its area is a maximum?
If a and b are positive numbers, what is all the information we can deduce about the relationship between the lines: L1: y = - ax + b and L2: y = (1/a)x + b?
Find the slope and the equation of the horizontal line that passes through (-325, 185) Find the slope and the equation of the vertical line that passes through (-325, 185) Find the difference quotient of f(x) = 1/x^2
This number system is an extension of the real number system. Any polynomial equation has n complex roots, in general, in the complex number system. For example, the equation x2 + 1 = 0 has no real roots
Compute the mean and standard deviation of the information
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