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At Very Long Hotel in Florida, there are n rooms located along a very long corridor and numbered consecutively from 1 to n.
Suppose we have a building with a floor shaped like an isosceles right triangle. The two sides adjacent to the right triangle have length 100 feet.
Show the existence of an extension of Fq of order l for any prime l.Provide complete and step by step solution for the question.
Let K be obtained as a field Q(a) where a is a root of P(x) = x3 - 3. Find an irreducible polynomial which defines the splitting field of P(x).
Bijection between open interval and half-open interval.Please help with the following problem. Provide step by step calculations.
The endpoints of the diameter of a circle are P=(-3,2) and Q=(5,-6). Find: (i) The center of the circle.
Systems of Linear Equations : Row Operations and Solutions.Find the augmented matrix for each system of linear equations:
Prove that (n + 1)!>2^(n+3) for n>=3 Hint: try using mathematical induction. Provide complete and step by step solution for the question.
The sales S (in thousands of units) of a product after x hundred dollars is spent on advertising is: S = 10(1-e^kx).
Determine the level of sound (in decibels) for the given sound intensity. I=10^-3.5 watt per m^2 (jet 4 miles from takeoff)
Show that the gap between two consecutive squarefree numbers can be arbitrary large.
Use the definition of a logarithm to write the equation in logarithm form. (For instance, the logarithm form of 23 = 8 is log28 = 3.) 93/2 = 27.
Define a universal set U as the set of counting numbers. Form a new set that contains all possible subsets of U.
Leontief Input-Output Model and Real-World Applications.Why did Leontief use linear algebra techniques to create his model?
Solve the following quadratic equations by factorization. Provide complete and step by step solution for the question.
Find how long it takes her to row upstream, how long to row downstream, and how many kilometers she rows?
What do they have in common and how do they help solve systems of linear equations?What is an Eigenvalue? What is an Eigenvector?
To be effective, the antibiotic concentration must exceed 100 oz/gal for a minimum of 60 minutes. Was the dosing effective?
It is an application of Mathematical Induction in proving the relations of Fibonacci Numbers. To prove: F 2n+1 - Fn Fn+2 = (-1) n for n > or, = 3.
However, can we make a decision about a 100 X 167 or a 3600 X 288 rectangle? In general, given an N X K rectangle.
Mathematical modeling using linear first order equations.Two tanks each hold 3 liters of salt water and are connected by two pipes the salt water in each tank
If the perimeter of a rectangle is 10 inches, and one side is one inch longer than the other, how long are the sides?
Discontinuous Counter example.If f:[a,b] -> R is ONE-TO-ONE and satisfies the intermediate value property, then f is continuous on [a,b].
Writing and Solving Three Variable Systems of Equations from Application Word Problems
Sketch the graph of each function. Be sure to label three points on the graph. If f(x) = integral (2x), find: (a) f(1.2) (b) f(1.6) (c) f(-1.8)