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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. Provide the codes used and all the results and work.
A local company makes pigments used to color fabrics, plastics and paints. To ensure the finished product matches the customer's expectations, pigments of varying strength are blended to obtain what is called a "100% strength" commercial standard.
Standard normal probabilities. According to an article in The New York Times, 19.3% of New York City adults smoked in 2003. Suppose that a survey is conducted this year.
What do you find challenging about working with rational expressions? What strategies have you developed to overcome these challenges?
he first three characters of a car license plate number are letter characters. Car license plates can have repeats. For a), remember that the combination "AA" is possible.a) What's the probability of the first three characters being BAZ?
Please explain the steps and solution. Find an equation of the line tangent to the curve defined by the equation at the specified point:
Find the equation of parabola describe. Find 2 points of latus rectum.Graph. Find all the complex root. Leave your answer in polar form with the argument in degrees.
Determine the probability for independent events - calculate the probability P(AUBUC)
If a and b are positive numbers, what is all the information we can deduce about the relationship between the lines: L1: y = - ax + b and L2: y = (1/a)x + b?
Find the inverse of the matrix.
Suppose u and v are non-parallel unit vectors, a=u+sqrt(3)v and b=u-sqrt(3)v. If the angle theta between u and v are the same as that between a and b, find cos theta.
At the downtown office of First National Bank there are five tellers. Last week the tellers made the following number of errors each: 2, 3, 5, 3, and 5.
Find the critical value for this hypothesis test.
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