Write code to simulate the following differential equation for x ranging from 0 to 5. Assume y = 0 when x = 0. Plot y vs. x using Matplotlib. Give the plot a title and x and y axis labels. Also plot grid lines. Use a stepsize for x of 0.01. (4 points) dy/dx=(〖50x〗^2-10y)/3

Janice recently received her college degree and is looking for a job. she is worried that since she just finished school, she will be required to repay her perkins and direct subsidized loans immediately. janice pulls out the paperwork she signed and reviews it again for repayment information. after reading all of the information, janice discovers that

Write a program that displays the following menu: geometry calculator 1. calculate the area of a circle 2. calculate the area of a rectangle 3. calculate the area of a triangle 4. quit enter your choice (1-4): if the user enters 1, the program should ask for the radius of the circle and then display its area. use the following formula: area = ď€(the square of r) use 3.14159 for ď€ and the radius of the circle for r. if the user enters 2, the program should ask for the length and width of the rectangle and then display the rectangle’s area. use the following formula: area = length * width if the user enters 3, the program should ask for the length of the triangle’s base and its height, and then display its area. use the following formula: area = base * height * .5 if the user enters 4, the program should end. input validation: display an error message if the user enters a number outside the range of 1 through 4 when selecting an item from the menu. do not accept negative values for the circle’s radius, the rectangle’s length or width, or the triangle’s base or height. note: if the user enters an improper menu choice (1-4), the program prints "the valid choices are 1 through 4. run the program again and select one of those." if the user enters a negative radius, the program prints "the radius can not be less than zero." if the user enters a negative value for height or base, the program prints "only enter positive values for base and height."

Hazel has just finished adding pictures to her holiday newsletter. she decides to crop an image. what is cropping an image?