Exercise 2.1a. Sketch (by hand, without using MATLAB) the direction field of the differential equation dy⁄dx= y⁄5for xand yvalues between -5 and 5. (You do not need to include this sketch in your write-up.)b. On your direction field, add a curve (by hand) that approximates the solution passing through the point x = 0, y = 1.c. Now solve the differential equation given in part (a), either working it out by hand or using the dsolve command that we saw in Assignment 1. Compare your answers to parts (a) and (b)

Under normal conditions, 1.5 feet of snow will melt into 2 inches of water. during a winter season high in the mountains, 301 feet of snow fell. how many inches of water will there be when the snow melts?

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Afamily of five rents a kayak and splits the total time, k, equally. each family member spent less than 25 minutes kayaking. which values can be used to complete the math sentence below so that it accurately represents the situation? intro done