Define two more implementation classes for shapes of your choice. Choose shapes within the quadrilateral or rectangular prism families. Use the existing implementation classes as a model. Each implementation class must override the Object class toString method by providing the name of the class followed by the shape's dimensions. As needed, update the implementation classes to override the Object class equals method, so that it can be determined when shapes are equal based on the values of their dimensions. Some classes should inherit the equals method. For instance Cube will inherit the equals method of the Box class rather than override it.

The volume v and paper surface area a of a conical paper cup are given by where r is the radius of the base of the cone and h is the height of the cone. a. by eliminating h, obtain the expression for a as a function of r and v. b. create a user-de ned function that accepts r as the only argument and computes a for a given value of v. declare v to be global within the function. c. for v ! 10 in.3 , use the function with the fminbnd function to compute the value of r that minimizes the area a. what is the corresponding value of the height h? investigate the sensitivity of the solution by plotting v versus r. how much can r vary about its optimal value before the area increases 10 percent above its minimum value?

How should you specify box sizes on a web page if you want the boxes to vary according to the font size of the text they contain? a. in pixels b. in inches c. as percentages d. in em units

If the average computer chip had 1,200 transistors per square inch in 1970, approximately how many transistors per square inch would one have in 1976? use moore's law to calculate your answer