dy/dt = y+6t y(0)=5. In this question we will use a spreadsheet to approximate the value y(1). The picture below shows a spreadsheet being used to implement a linear approximation scheme (ie. Euler's method) with initial value y0= y(0)= 5 and a step size of 0.1 to make such an approximation in 10 steps. A downwards arrow indicates that the contents from the cell above will be dragged down. Column B holds values of t; Column A holds approximations of y(t); and Column C holds approximations of y'(t). A B C 1 0 ? ? ? 23 45 19 8 9 10 52. Now, using a spreadsheet, or otherwise, make the following approximations of y(1) for decreasing step sizest. Give your answers correct to at least 3 decimal places. a) Using Euler's method with 1 step t=1),starting at y(0) =5 we find y(1) ~ ANSWER b) Using Euler's method with 2 steps t = 1/2), starting at y(0)= 5 we find y(1)~ ANSWER c) Using Euler's method with 10 steps (At = 1/10), starting at y(0)= 5 we find y(1)~ Answer