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Students are given three chances to pass a basic skills exam for permission to enroll in Calculus I. Sixty percent of the students pass on the first try; of those who fail on the first try, 54% pass on the second try; and, of those remaining, 48% pass on the third try. What percentage of students pass?
Either explain why f is not linear or write down the matrix that represents f . iI general how do you solve problems of this type?
If an open box has a square base and a volume of 105 in.3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction.
A plot of the data points with the best-fit line is given below . What age is predicted by the best-fit line for s height of 70 inches ?
Evaluate the integral log3(x)/(2x). Evaluate the integral sinh^6(x)*cosh(x) dx. Evaluate the integral x^2 * sin(2x) dx. Evaluate the indefinete integral sin^5(x) dx
Find the number b such that the line y = b divides the region bounded by the curves y = 9x2 and y = 1 into two regions with equal area. (Round your answer to two decimal places.)
A person repeatedly and independently flips a coin to decide whether to take a step to the left or to the right from a point X. determine the expected number of times the person returns to X.
Describe objects that have each of the following types of symmetry.
Using the standard inner product in R^3, find two unit vectors that are orthogonal to u=(3,-2)
Let f (x) = |x| for x greater or equal to -1, less than or equal to +1. Write the Fourier series for f (x) on [-1,1]. Show that this series can be differentiated term by term to yield the Fourier expansion of f'(x) on [-1,1]
Compute the inverse of matrix A below, and use this to express A as a product of elementary matrices
A light-year is a measure of length equal to the distance that light travels in 1 year. Compute the conversion factor between light-years and meters, and find the distance to the star Proxima Centauri 4 1016 m in light-years.
A hemispherical bowl of radius 5 cm is filled with water to within 3 cm of the top. Find the volume of water in the bowl.
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