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Volume. An open box is to be made from a six inch by six inch square piece of material by cutting equal squares from the corners and turning up the sides. Find the volume of the largest box that can be made
Area. A rectangular page is to contain 36 square inches of print . The margins at the top and bottom and on each side are to be 1 and a half inches. Find the dimensions of the paper that will minimize the amount of paper used.
Area. A rectangular page is to contain 30 square inches of print. The margins at the top and bottom of the page are to be 2 inches wide. The margins on each side are to be 1 inch wide. Find the dimensions of the page such that the least amount of paper is used.
One mean z test
What does the final row of the augmented matrix in echelon form (the above description) tell you about the solution to the system of 5 linear equations?
Let A be an n × n matrix with eigen values 1, 2, · · · , n. Prove there are (2 n )n! Different matrix S with the property that the length of each column vector of S is 2 such that (S -1 )AS is diagonal.
With a yearly inflation rate of 7%, prices are given by P=p(1.05)^t, where p is the price in dollars when t=0 and t is the time in years. Suppose p=1. How fast (in cents/ year) are prices rising when t=12?
Apply normal distribution methods to approximate this binomial distribution.
Show that if 7 integers are selected from the first 10 positive integers there must be at least 2 pairs of these integers with the sum 11
In any group G, some of the elements of G commute with all of the other elements in G. The set of all such elements in G is called the centre of G, and is denoted by Z(G).
Determine the number X for the given table and evaluate the number x so that the preceding independence relations hold.
Calculate the breakeven point
Find the probability that everyone who appears for the ride will get a seat.
Find the solution of the given linear equation - Evaluate the time and the height at which she opens her parachute.
A bullet is fired vertically upward. Its distance s (in ft) above the ground is given by: s=2250t-16.1t^2 where t is the time (in s).
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