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A triangular sail has an area of x^2 + 5x + 6 square meters and a height of x + 3 meters. Find the length of the sail's base.
Formulate the above as linear programming problem. Solve (a) by graphical method. Solve using simplex method.
How many different arrangements of the entries are possible? If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?
Set up an appropriate probability space. Which is larger, (a) the probability of having a full house given that the first 2 cards you've dealt have the same denomination, or (b) the probability of having a full house given that there exist 2 cards
Identify the variables and determine the system of equations. Use the Gauss-Jordan elimination method and solve the system of equations
Find the potential alpha inflation
Determine the equation of the rectangular Hyperbola and understand the concept of parabola and to find the coordinates of the vertex of the parabola.
Find which two variables have the weakest strength of relationship?
Recall that an element a is called algebraic over a ring (or field) R if a is the root of some polynomial in R[x].
Calculate the per capita cost per police officer. Explain why increased population can result in increased per capita taxes, even though the per-capita cost per police officer declines with population.
A function f is given by the following table: Approximate the area between the x-axis and y=f (x) from x=0 to x=4 using Simpson's Rule.
Let K1 and K2 be finite extensions of F contained in the field K, and assume both are splitting fields over F. Prove that their composite K1K2 is splitting field over F.
Please provide an explanation of Modular Arithmetic. I find it very confusing and am having trouble understanding the definitions and applying them.
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