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A ceramic bowl is turned on a potter's wheel to approximate the surface obtained by revolving the curve y= (2/3)((x^2) - 1 ) from x=1 to x=2 about the y axis. What is the approximate outside area of the bowl? [assume that each unit on the x and y axes represents 10 cm]
Discuss the difference in appearance of a graph of an equation and a graph of an inequality.
What is the probability that at least 50 customers pay in cash? What is the probability that no more than 15 customers pay in cash? What is the probability that more than 20 and less than 40 customers pay in cash?
Find the x-coordinate of the absolute maximum for the function f(x)=(3+9ln(x))/x x>0
Use the inverse of the co-efficient matrix to solve the equation.
Use Gaussian elimination with partial pivoting to find matrices L and U such that U is upper triangular, L is lower triangular with | l_ij| = j and LU = A', where A' can be obtained from A by interchanging rows.
Probability that a player's pick wins the grand prize. In a certain lottery, k balls are chosen at random and without replacement from a bin containing N balls numbered 1 through N
A regular hexagon is divided into 6 equilateral triangles. he altitude of each triangle is 6cm. What is the perimeter of the hexagon?
Using the appropriate substitution method and the quotient rule find the integral of: Integral: 1+tanx/1-tanx dx
Service station cars arive randomly at a rate of 1 car every 30 min. the average time to change oil on a car is 20 min. both the time between arrivals and service time can be modeled using the negative exponential Poisson distribution.
Important information about Finding a probability, Super Cola sales break down as 80% regular soda and 20% diet soda. While 60% of the regular soda is purchased by men
From the following augmented matrix, first write the system of equations that represents the augmented matrix and then create a real-world word problem that would represent these equations and their unknowns.
Let X be a path-connected space and suppose that every map f: S^1 --> X is homotopically trivial but not necessarily by a homotopy leaving the base point x_0 fixed. Show that pi_1(X,x_0) = 0.
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