The beauty of basic HTML coding is that it facilitates self-directed learning through the practice of reverse coding
reverse technology
reverse imaging
reverse engineering

Write a program called assignment3 (saved in a file assignment3.java) that computes the greatest common divisor of two given integers. one of the oldest numerical algorithms was described by the greek mathematician, euclid, in 300 b. c. it is a simple but very e↵ective algorithm that computes the greatest common divisor of two given integers. for instance, given integers 24 and 18, the greatest common divisor is 6, because 6 is the largest integer that divides evenly into both 24 and 18. we will denote the greatest common divisor of x and y as gcd(x, y). the algorithm is based on the clever idea that the gcd(x, y) = gcd(x ! y, y) if x > = y and gcd(x, y) = gcd(x, y ! x) if x < y. the algorithm consists of a series of steps (loop iterations) where the “larger” integer is replaced by the di↵erence of the larger and smaller integer. this continues until the two values are equal. that is then the gcd.

For positive constants a and b, the force between two atoms in a molecule is given f(r) = −a r2 + b r3 , where r > 0 is the distance between the atoms. note: a and b are upper case letters. (a) find f '(r) = (b) find the critical point for f(r). r = (c) find f ''(r) = (d) find the value of r so that f ''(r) = 0.

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