[49] Consider y'= 1-2t + 3y, y(0) 0.5. Find approximate values of the solution at t = 0.1, 0.2, 0.3. (a) Use Euler's method with h = 0.1. (b) Use the improved Euler's method with h = 0.1. (c) Use the Runge-Kutta method with h = 0.1.

Hi, I really need some help with this assignment, help will be appreciated! I took some shots below.

It's true sand dunes in Colorado rival sand dunes of the Great Sahara Desert! The highest dunes at Great Sand Dunes National Monument can exceed the highest dunes in the Great - Sahara, extending over 700 feet in height. However, like all sand dunes, they tend to move around in the wind. This can cause a bit of trouble for temporary structures located near the "escaping" dunes. Roads, parking lots, campgrounds, small buildings, trees, and other vegetation are destroyed when a sand dune moves in and takes over. Such dunes are called "escape dunes" in the sense that they move out of the main body of sand dunes and, by the force of nature (prevailing winds), take over whatever space they choose to occupy. In most cases, dune movement does not occur quickly. An escape dune can take years to relocate itself. Just how fast does an escape dune move? Let x be a random variable representing movement (in feet per year) of such sand dunes (measured from the crest of the dune). Let us assume that…

A length of wire that is 160 cm long is cut into two pieces: one to form an equilateral triangle and the other to form a circle. Where do you cut the wire to makes shapes that enclose a maximum amount of area for the two shapes? Where do you cut the wire to enclose a minimum amount of area for the two shapes?