In a course, a teacher gives the following tests and assignments:

• A lab activity that is observed by the teacher and assigned a numeric score.
• A pass/fail exam that has 10 questions. The minimum passing score is 70 .
• An essay that is assigned a numeric score.
• A final exam that has 50 questions.

Write a class named Coursegrades. The class should have a GradedActivity array named grades as a field. The array should have four elements, one for each of the assignments previously described. The class should have the following methods:

setLab: $\quad$ This method should accept a GradedActivity object as its argument. This object should already hold the student's score for the lab activity. Element 0 of the grades field should reference this object.

setPassfailexam: $\quad$ This method should accept a PassFailexam object as its argument. This object should already hold the student's score for the pass/fail exam. Element 1 of the grades field should reference this object. setEssay: $\quad$ This method should accept an Essay object as its argument. (See Programming Challenge 4 for the Essay class. If you have not completed Programming Challenge 4 , use a GradedActivity object instead.) This object should already hold the student's score for the essay. Element 2 of the grades field should reference this object.

setFinalexam: $\quad$ This method should accept a FinalExam object as its argument. This object should already hold the student's score for the final exam. Element 3 of the grades field should reference this object. tostring: $\quad$ This method should return a string that contains the numeric scores and grades for each element in the grades array.

Demonstrate the class in a program.

For this assignment, you will write a program that lets the user play against the computer in a variation of the popular blackjack card game. In this variation of the game, two six-sided dice are used instead of cards. The dice are rolled, and the player tries to beat the computer’s hidden total without going over 21. Here are some suggestions for the game’s design: - Each round of the game is performed as an iteration of a loop that repeats as long as the player agrees to roll the dice, and the player’s total does not exceed 21. - At the beginning of each round, the program will ask the users whether they want to roll the dice to accumulate points. - During each round, the program simulates the rolling of two six-sided dice. It rolls the dice first for the computer, and then it asks the user if he or she wants to roll. (Use the Die class that was demonstrated in this chapter to simulate the dice). - The loop keeps a running total of both the computer and the user’s points. - The computer’s total should remain hidden until the loop has finished. - After the loop has finished, the computer’s total is revealed, and the player with the most points without going over 21 wins.

Verify Green’s theorem for the given vector field $\mathbf{F}=M(x, y) \mathbf{i}+N(x, y) \mathbf{j}$ and region D by calculating both $\oint_{\partial D} M d x+N d y$ and $\iint_{D}\left(N_{x}-M_{y}\right) d A.$ $\mathbf{F}=\left(x^{2}-y\right) \mathbf{i}+\left(x+y^{2}\right) \mathbf{j}$ is the rectangle bounded by x = 0, x = 2, y = 0, and y = 1.