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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.
You have been given information that if a student is a resident and they enroll for more than 12 hours, then their tuition will equal $120 plus $10 per hour for every hour greater than 12.
Your lamp uses 5 light bulbs to operate. Suppose that each bulb has a lifetime which is exponential with mean 1 year, that the lifetimes are independent random variables and that the lamp does not light if at least one of the bulbs is burnt.
As a balloon in the shape of a sphere is being blown up, the volume is increasing at a rate of 4 [cubic inches/s]. At what rate is the radius increasing when r = 1 inch?
find the margin of error for the given values of c s and n, and c=0.95, s=2.9,n=49
When the price for a color television is 260 dollars , the average monthly sales for this item at a department store is 480 . For each 10 dollar increase in price, the average monthly sales fall by 30 units. What is the average monthly sales if th..
Let G be the group of symmetries of a cube, including the orientation-reversing symmetries. Describe the elements of G geometrically.
A rancher needs to enclose two adjacent rectangular corrals, one for cattle and one for sheep. If the river forms one side of the corrals and 420 yd of fencing is available, find the largest total area that can be enclosed.
Ron the realtor is offered a job directly out of real-estate school. he has a selection as to which way he will receive his salary the first year.
Use implicit differentiation to find an equation of the tangent line to the hyperbola at the point (6, 8)?
the population of Atlanta, GA was 416.1 thousand in January of 2000. By January 2010, the population had grown to 540.9 thousand.
A formula is derived for the n-th derivative of a function that is a product of two other functions, f(x)=u(x).v(x). This formula is used to write down the n-th derivative of f(x) = e^x/(1 − x).
Give an example which shows that in the matrix chain multiplication problem, adding a matrix on the right can force the breakpoint to the left. You can find an example using just 4 matrices
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