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Find the nodes x_i and the weights w_i so that the Gaussian quadrature of the sum from i=1 to 2 of (w_i) f(x_i) approximating the integral from -1 to 1 of f(x)dx is exact when f(x) is a polynomial of as high degree as possible.
At noon, ship A is 100 km west of ship B. A is sailing south at 35 km/h and B is sailing north at 25 km/h. How fast is the distance between the ships changing at 16:00 h?
Find the equation of horizontal and vertical asymptote of given functions - Find the equations for the horizontal and vertical asymptotes
A particle's position is give by s = 3t^3 - t^2 + 2t. What is it's acceleration at t=2? This seemed too easy.
Suppose Frank owns 2000 shares of company X and 1000 shares of company Y. The total value of Franks holding for these 2 companies is $680,000 please write an equation for Bobs and franks holdings. Usa Variable X and Y to represent the values of sh..
How many permutations are there of 12 objects taken five at a time? How is this answer related to answers in 1 and 2?
Cutter Enterprises purchased equipment for $72,000 on January 1, 2006. The equipment is expected to have a five-year life, with a residual value of $6,000 at the end of five years.
If the minute hand and the hour hand on the clock both start at 12:00 when will the two hands first coincide? How many times will they coincide in 12 hours?
Find the probability that the first card is a king and the second card is a queen.
We will take steps to find the tangent line to the graph of f at the general point (x,f(x)), and use it to find a tangent line with a specific property.
Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back substitution or Gauss-Jordan elimination. Explain steps and show work.
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.
Finding the dimensions of a rectangle using second derivative test - Find length and width should the rectangle have so that its area is a maximum?
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