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Recall that in the Towers of Hanoi problem we have three pegs numbered 1, 2 and 3, and on one peg we have a stack of n disks, each smaller in diameter than the one below it as in Figure 4.1. An allowable move consists of removing a disk from one peg and sliding it onto another peg so that it is not above another disk of smaller size. We are to determine how many allowable moves are needed to move the disks from one peg to another. Describe the strategy you have used or would use in a recursive program to solve this problem.
Use differentials to estimate the amount of material in a closed cylindrical can that is 70 cm high and 28 cm in diameter if the metal in the top and bottom is 0.1 cm thick, and the metal in the sides is 0.05 cm thick.
Johnny is designing a rectangular to contain 20 in2 of printing with 5-in margin at the top and bottom and a 4-in margin at each side. What overall dimensions will minimize the amount of paper used
Give a counter example and then prove why, i.e., a metric space and a sequence, that disproves the claim: Every Cauchy sequence converges.
A triangle drawn on a map has sides of lengths 9.0 cm, 10 cm, and 15 cm. The shortest of the corresponding real-life distances is 93 km. Find the longest of the real-life distances. If necessary, round your answer to the nearest unit.
Define a Markov chain with r+1 classes and find its transition probability matrix.
Prove the quotient rule. Hint: you can do this directly, but it may be easier to find the derivative of 1/x and then use the chain rule and the product rule.
Determine the 90% confidence interval estimate for the true average sales value for prescriptions issues by the company. Interpret the interval estimate.
Is it possible for the graph of a polynomial function to have no y-intercept? No x-intercepts? Briefly explain.
Using limits, calculate the derivative of f(x) = 1/x2 at x = 3. Compute the derivative of f(x) = 1/(x+√x) (you do not need to use limits)
In Mathematics: individual cereal boxes contain 3/4 ounce of cereal. how many boxes can be filled with 600 ounces of cereal.
Sketch the curve represented by the vector-valued function and give the orientation of the curve r(t) = 2sin ti + tj + 3cos tk.
problem 1. for the following evaluate whether the given sets of vectors form a basis or not. if you think it is a basis
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