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Programmers need to solve systems of equations, which often come up during the design of the games. As an example, suppose in a video game 2 persons (or objects) are traveling along linear paths, and you need to find the coordinates at which they might potentially collide. Suppose the two lines are 2x + 3y = 8 and 4x - y = -2. Solving the system of equations would give you the (x, y) coordinates of the possible collision.
Make a system of 2 equations with 2 variables of your own creation.
Discuss which technique (Gaussian elimination, substitution, or Cramer's rule) you prefer when solving a system of equations. Why? What circumstances would cause you to use a different method? You do not have to solve the systems of equations.
ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.6 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall? Eva..
Show that if n is odd then the set of all n-cycles consists of two conjugacy classes of equal size in An. Let G be a transitive permutation group on the finite set A with |A|>1. Show that there is some g in G such that g(a) is not equal to a for al..
Suppose V is a complex inner product space and T: V --> V a linear operator. Use the results from parts (a) and (b) to show V = im(T) + ker (T*) = im(T*) + ker(T).
Determine if the following chemical equation is a kinetically paced reaction: 4NO + 4NH3 + O2 = N2 + 6H2O In other words, is there a kinetic rate equation that can be presented simply that defines the pace of the above reaction
airplane a takes off 60 minutes after airplane a and heads in the same direction. if airplane a travels with a constant velocity of 408 mph and airplane b with a constant velocity of 1554 mph, in how many hours will airplane b catch up to airplane..
The plan for a 20ft-by-12ft patio has a square garden in the middle of it. If each side of the garden is x ft, the function y = 240-x^2 gives the area of the patio without the garden in square feet.
After the plane travels three miles along this flight path, how high (in feet) is it above the ground?
Give five interesting facts about group theory (or tensor calculus). Each one need only be 1 to just a few sentences - please list separately and under each fact provide any links to websites or pictures etc.
How many liters of water are in a bucket that has 8,800 cm3 of water in it?
Test the instructor's claim at a five percent level of significance. Write your conclusion?
Find probability of getting both of them are male republican
A child slides down a slide with a 27o incline, and at the bottom her speed is precisely two-thirds what it would have been if the slide had been frictionless. Calculate the coefficient of kinetic friction between the slide and the child.
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