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At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 22 knots and ship B is sailing north at 23 knots. How fast (in knots) is the distance between the ships changing at 5 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)
If a ring R has a multiplicative identity, then the multiplicative identity is unique.
Find the accumulated amount A if the principal P is invested at the interest rate of r/year for t years.
For which values of k are the following vectors u and v orthogonal? Let u,v be orthogonal unit vectors. Prove that d(u,v) = 2^(1/2)
A lighthouse is fixed 190 feet from a straight shoreline. A spotlight revolves at a rate of 12 revolutions per minute, (24 rad/min ), shining a spot along the shoreline as it spins. At what rate is the spot moving when it is along the shoreline 11..
Prove that the projection onto the plane Y O Z of the intersection curve of an elliptical paraboloid x = y^2 + z^2 with a plane x - 2y + 4z = 0 is a circle of radius R = 3 centered at M (0, 1, -2).
Simulate 1000 interactions of the two strategies over the six-year period. Create a histogram of the final fund values. Based on your simulation results, which of the two strategies would you recommend? Why?
Find the constant of variation and write an equation of direct variation -
What would be the null hypothesis for a chi-square test for testing if the claim made in the medical journal is indeed true?
Suppose that f_n(0) converges to some number, denoted f(0), and also suppose that the sequence (f'_n) converges uniformly on (0,1) to some function g: (0,1) -> R. Prove that the sequence (f_n) converges uniformly. What is its limit?
The equation for the mid-span deflection of a simply supported beam carring a uniformly distributed load can be determined from. Taking care with units, use this transposed equation to find the maximum length of beam that can be used if the midspan..
What is the compound interest earned?
A group of ducks and cows are in a field. They have a total of 65 heads and 226 legs. How many ducks are in the field?
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