Classical 4th Order Runge-Kutta is used to solve the following ODE with y0 = 5 and h = 0.5. dydt=t−y Calculate the value of y after the first time step (i. e. y(2) in the numerical solution) and enter your answer to 4 decimal places. I suggest you calculate this by hand/calculator to make sure you understand the algorithm.

Write a program that will compute the volume of ice cream served in a cone. as you can see in the diagram below, the ice cream is served as a hemisphere of frozen deliciousness on top of a cone, which is also packed with frozen deliciousness. thus, the total volume of ice cream sold is the volume of the hemisphere plus the volume of the cone. the example shows an ice cream cone in which the hemisphere and cone have a radius of 10 inches and the cone has a height of 15 inches. your program must instead prompt for these two values, which are taken from the keyboard as integers: • the hemisphere/cone radius in inches, and