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Question: A car drives clockwise around the track in Figure, slowing down at the curves and speeding up along the straight portions. Sketch velocity vectors at the points P, Q, and R.
Show that the greedy algorithm for making change for n cents using quarters, dimes, nickels and pennies has O(n) complexity measured in terms of comparisons needed.
A kite is 220 feet long from the kite to the ground. The string makes a 45 degree angle with the ground. About how high off the ground is the kite?
Without doing any further calculation, what do you think the jeans in problem #1 would cost if they had gone on sale by 15% first and then had their price increased by 15%? Why?
Consider this variation of the game of Nim. The game begins with n matches. Two players take turns removing matches, one, two, or three at a time.
Five people are to be seated around a circular table. Two seatings are considered the same if one is a rotation of the other.
Prove that if f'(x) = g'(x) for all x in (a, b), then there is a constant C such that f(x) = g(x) + C on (a, b). [Hint: Apply the Constant Function Theorem.
The base of an aquarium with volume V = 250 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
CWD Oil produces two grades of gasoline: regular and premium. The profit contributions are$0.30 per gallon for regular gasoline and $0.50 per gallon for premium gasoline. Determine the coordinates of each extreme point
Federal and state income taxes are normally deducted from your paycheck. What other kinds of taxes are also deducted? What are these for and how are they calculated?
Find the interval of convergence of the series. For what values of x does the series converge conditionally
What is the balance at the end of the first year? (Four quarters) v. What is the balance after t years?
Descriptive statistics (mean, median, range, and standard deviation) for each of the four variables along with an explanation of what the descriptive statistics tell us about the motion picture industry.
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