ALGEBRA II 2A.3D Supporting
... For example, consider the system given by the equations 4x + 2y = 25 and y = -0.5x2 + 3x. Suppose a student estimates that the system has a solution at (5, 2.5). The first strategy to determine the reasonableness of this solution is to evaluate each equation at the given values of x and y. Here, 4(5 ...
... For example, consider the system given by the equations 4x + 2y = 25 and y = -0.5x2 + 3x. Suppose a student estimates that the system has a solution at (5, 2.5). The first strategy to determine the reasonableness of this solution is to evaluate each equation at the given values of x and y. Here, 4(5 ...
Practice Explanations: Solutions 1. Suppose y1 and y2 are both
... 1. Suppose y1 and y2 are both solutions to the same homogenous, second order, linear differential equation. Explain why, as long as y1 and y2 are not multiples of each other, that y = c1 y1 +c2 y2 can satisfy any initial condition by choosing c1 and c2 correctly. Answer: Let’s look at the differenti ...
... 1. Suppose y1 and y2 are both solutions to the same homogenous, second order, linear differential equation. Explain why, as long as y1 and y2 are not multiples of each other, that y = c1 y1 +c2 y2 can satisfy any initial condition by choosing c1 and c2 correctly. Answer: Let’s look at the differenti ...
