Task 2 The relationship between the voltage applied across a resistor and the current flowing through the resistor is given by Ohm's law, which can be expressed in the following mathematical form: V=IX R Where: • V is the voltage across the resistor (volts), ⚫ I is the current flowing through the resistor (amperes), • R is the resistance (ohms). V R The following table gives data for the current flowing through a resistor: S. No. Current 1 0.1 83。2 3 4 5 6 7 0.2 0.5 1.0 1.5 20 30 50 75 8 9 10 10.0 (Amperes) a) Write a script that will prompt the user for the value of the resistance and determine the voltage across the resistor for each current in the table. The script will print the result for each current in the following tabular format: Example: S.No. Current (Amperes) Voltage (Volts) 1 0.1 1.0 2. 0.5 2.0 10. 10.0 100.0 b) Plot Voltage vs Current for the given resistance. c) Prompt the user a second time for a different value of resistance and plot the voltage vs current in the same graph as in part (b) for both resistances. (Hint: Use the subplot command and don't forget to label your graphs) Page VI of 9

When you borrow money to buy a house, a car, or for some other purpose, you repay the loan by making periodic payments over a certain period of time. Of course, the lending company will charge interest on the loan. Every periodic payment consists of the interest on the loan and the payment toward the principal amount. To be specific, suppose that you borrow $1,000 at an interest rate of 7.2% per year and the payments are monthly. Suppose that your monthly payment is $25. Now, the interest is 7.2% per year and the payments are monthly, so the interest rate per month is 7.2/12 = 0.6%. The first months interest on $1,000 is 1000 0.006 = 6. Because the payment is $25 and the interest for the first month is $6, the payment toward the principal amount is 25 6 = 19. This means after making the first payment, the loan amount is 1,000 19 = 981. For the second payment, the interest is calculated on $981. So the interest for the second month is 981 0.006 = 5.886, that is, approximately $5.89. This implies that the payment toward the principal is 25 5.89 = 19.11 and the remaining balance after the second payment is 981 19.11 = 961.89. This process is repeated until the loan is paid. Write a program that accepts as input the loan amount, the interest rate per year, and the monthly payment. (Enter the interest rate as a percentage. For example, if the interest rate is 7.2% per year, then enter 7.2.) The program then outputs the number of months it would take to repay the loan. (Note that if the monthly payment is less than the first months interest, then after each payment, the loan amount will increase. In this case, the program must warn the borrower that the monthly payment is too low, and with this monthly payment, the loan amount could not be repaid.)

(Practice) You’re given the job of preparing a complete meal for five people next weekend. Determine a set of subtasks to accomplish this task. (Hint: One subtask, not necessarily the first, is buying the food.)

What is the opposite of greater than?

(Data processing) Your professor has asked you to write a C++ program that determines grades at the end of the semester. For each student, identified by an integer number between 1 and 60, four exam grades must be kept, and two final grade averages must be computed. The first grade average is simply the average of all four grades. The second grade average is computed by weighting the four grades as follows: The first grade gets a weight of 0.2, the second grade gets a weight of 0.3, the third grade gets a weight of 0.3, and the fourth grade gets a weight of 0.2. That is, the final grade is computed as follows: 0.2grade1+0.3grade2+0.3grade3+0.2grade4 Using this information, construct a 60-by-7 two-dimensional array, in which the first column is used for the student number, the next four columns for the grades, and the last two columns for the computed final grades. The program’s output should be a display of the data in the completed array. For testing purposes, the professor has provided the following data:

One way to determine how healthy a person is by measuring the body fat of the person. The formulas to determine the body fat for female and male are as follows: Body fat formula for women: A1 = (body weight x 0.732) + 8.987 A2 = wrist measurement (at fullest point)/3.140 A3 = waist measurement (at navel) x 0.157 A4 = hip measurement (at fullest point) x 0.249 A6 = forearm measurement (at fullest point) x 0.434 B = A1 + A2 A3 A4 + A5 Body fat = body weight - B Body fat percentage = body fat x 100/body weight Body fat formula for men: A1 = (Body weight x 1.082) + 94.42 A2 = wrist measurement x 4.15 B = A1 A2 Body fat = body weight B Body fat percentage = body fat x 100/body weight Write a program to calculate the body fat of a person.

(Statistics) This is the formula for the standard normal deviate, z, used in statistical applications: z=(X)/ X is a single value. refers to an average value. refers to a standard deviation. Using this formula, you need to write a program that calculates and displays the value of the standard normal deviate when X=85.3,=80,and=4. a. For this programming problem, how many outputs are required? b. How many inputs does this problem have? c. Determine a formula for converting input items into output items. d. Test the formula written for Exercise 7c, using the data given in the problem.

(Conversion) Write a C++ program to convert kilometers/hr to miles/hr. The program should produce a table of 10 conversions, starting at 60 km/hr and incremented by 5 km/hr. The display should have appropriate headings and list each km/hr and its equivalent miles/hr value. Use the relationship that 1 kilometer=0.6241miles.

(Numerical) Write an assignment statement to calculate the nth term in an arithmetic sequence. This is the formula for calculating the value, v, of the nth term: v=a+(n1)d a is the first number in the sequence. d is the difference between any two numbers in the sequence.

(Practice) You’re given the job of planting a vegetable garden. Determine a set of subtasks to accomplish this task. (Hint: One subtask is planning the garden’s layout.)