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Question: Find an increasing subsequence of maximal length and a decreasing subsequence of maximal length in the sequence 22, 5, 7, 2, 23, 10, 15, 21, 3, 17.
A jeweler has three small solid spheres made of silver, of radius 3 mm, 5 mm, and 3 mm. He decides to melt these down and make just one sphere out of them. What will the radius of this larger sphere be?
How many trees will the forest have at the end of one year, after accounting for both natural replenishment and the effects of harvesting?
the manager of the cheesecake factory in boston reports the following numbers of customers for nine randomly selected
The radius of a circular water wave increases at the rate of 2m/s.
If the random variable z is the standard normal score, which of the following probabilities could easily be determined without
A composition of the integer k into n parts is a list of n positive integers that add to k. How many compositions are there of an integer k into n parts?
Determine whether each statement below is always true, sometimes true, or never true. Explain why you chose each answer. A rectangle is a rhombus. Two angles of a scalene triangle are congruent.
A 5 × 7 photograph has a rectangular cardboard mat frame that is an equal depth on all four sides. If the total area of the mat is 99 in2, what is the depth of the mat?
Three seconds later the pendulum hangs farthest away from the wall (83 cm). Find an equation for the distance the pendulum is from the wall at any time t.
Find the equation of the tangent plane to the central conicoid x2 - 4y2 + 3z2 + 2 = 0 at the point (1,2,0). Find whether the plane 2x + 3y + 2z =3 touches the central conicoid 2x2 + 3y2 + z2 = 1 or not.
Find the work done pulling the bucket to the top of the well. Your answer must include the correct units. (You may enter lbf or lb*ft for ft-lb.)
Let x be the length of the top of the rectangle (and thus also of the bottom of the rectangle and of the diameter of the circle) and y the length of the side of the rectangle.
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