Determine the equation of the line
A cardbord leans against the sphere x^2 +y^2 +(x-3)^2 = 9 at the point (2,-2,4). Determine the equation of the line which is the intersection of the cardbord with the xy-plane, i.e with z = 0.
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Reiser Sports Products desires to find out the number of All-Pro and College footballs to produce in order to maximize profit over the next four-week planning horizon.
Suggest a 2D line with end points (1, 1) and (4, 5). Rotate this line by 45 degrees about a point (1, 1). Reflect it around y axis.
Suggest the linear optimization model Maximize 3A + 4B subject to -A + 2B ? 8 A + 2B ? 12 2A + B ? 16 A, B ? 0 Graph the constraints and identify the feasible region.
Describe that every two successive term of the Fibonacci sequence are relatively prime hint (write down the explicit definition by induction of this sequence)
You decide to invest $100,000 in the program that is guaranteed to grow by 2.5% for each of next five years. At the end of the five years, how much is your investment worth?
Make a tree which models the following condition. A player decides to play maximum of 4 times, betting upon red each time. The player will quit after losing twice. In tree, any possible last plays will be an ending point of the tree.
A spymaster has network of 10 operatives whom he pays out of slush fund containing $32000. For accounting reasons, his service requires him to employ up his whole fund and to pay his operatives in integer multiples of $1000.
Use Secant technique to find out a solution to cos(x)=x, and compare the approximations and convergence rate with those given by the Newton Raphson method.
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