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Alonzo drove 230 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need to drive 299 miles?
Let A be a complex number and B a real number. Show that the equation |z|^2+Re(Az)+B=0 has a solution if and only if |A|^2 >= 4B. If this is so, show that the solutions set is a circle or a single point.
Application of differential calculus: Maximization and Minimization - what are the largest and smallest revenues your company your company can make under this deal?
With the definition that pi is the area of the unit circle, explain why pi equals 8 times the integral from 0 to 1/sqrt(2) of (sqrt(1 - x^2) - x) dx. use the Romberg algorithm to approximate the integral.
Maryam pays $3000 on the 30th day of a $7,000, 120-day, and 8% loan.
If one ball is drawn at random, find the probability it is red. If two balls are drawn, find the probability both are green. If two balls are drawn, find the probability one is red and the other is blue
Cubic Splines: Natural and Clamped, Calculate the natural cubic spline f(x) for the following data and then determine 1(1.5). (Use 3 significant digits.)
Analyzing the graph of the given function using first and second derivative
What is the maximum number of multiplications required to solve a system of n equations with n unknowns using Gaussian Elimination and write a procedure to obtain the inverse of an n by n matrix usingGaussian elimination.
If 4 Americans, 3 Frenchmen and 3 Englishmen are to be seated in a row, how many seating arrangements are possible when people of the same nationality must sit next to each other?
Write a short paper describing a graph or a series of graphs that would represent a real life situation or problem from your own life.
What is the exact area of a circle with a diameter of 29 inches? In an 8 inch square cake pan and a 10 inch square cake pan, what is the difference in volume each pan will hold? Assume each pan is 1.5 inches high. Show step by step work. Include co..
Prove the triangle inequality starting with: |V+W|^2. You must use Re (less than or equal to) | | and the Schwarz inequality.
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