1BACHELOR OF COMPUTER APPLICATIONS(BCA)ASSIGNMENTSJanuary, 2007(2nd SEMESTER)CS-60 CS-62CS-612SCHOOL OF COMPUTER AND INFORMATION SCIENCESINDIRA GANDHI NATIONAL OPEN UNIVERSITYMAIDAN GARHI, NEW DELHI 110 068BCA/ASSIGN/II/JAN/072CONTENTSCourse CodeAssignment No. Assignment TypeLast Date of Submission Page No.CS-60 BCA(2)-60/TMA/07 TMA 15th April, 2007 3CS-60 BCA(2)-60/Project/07 Project 30th April, 2007 4CS-62 BCA(2)-62/TMA/07 TMA 15th April, 2007 5CS-62 BCA(2)-62/Project/07 Project 30th April, 2007 6CS-612 BCA(2)-612/TMA/07 TMA 15th April, 2007 7CS-612 BCA(2)-612/Project/07 Project 30th April, 2007 83Course Code : CS-60Course Title : Foundation Course in Mathematics in ComputingAssignment Number : BCA(2)-60/TMA/07Maximum Marks : 10 Last date of Submission : 15th April, 2007This is a tutor marked assignment. There are four questions in this assignment. Answer all the questions. You may use illustrations and diagrams to enhance explanations. Question 1: Differentiate y w.r.t. x where.ey2x tanlog4Question 2: Find: 97853limQuestion 3: If f(x) = ,x10Find whether f is continuous at x = 5.Question 4: For the following function, find a point of maxima and a point of minima, if these exist:f(x) = 17x5 14x3 + 44.if x is an integerif x is a real number which is not an integer(3 marks)(1 marks)(2 marks)(3 marks)4Course Code : CS-60Course Title : Foundation Course in Mathematics in ComputingAssignment Number : BCA-60/ Project/07Maximum Marks : 15Last Date of Submission : 30th April, 2007This is a project assignment. There are five questions in this assignment. Answer all the questions. You may use illustrations and diagrams to enhance explanations. Question 1: Find all the sixth roots of (12+5i).Question 2: If , , are the roots of the equationx37x2 + x + 5 = 0,find the equation whose roots are2 + 2, 2 + 2, 2 + 2.Question 3: Evaluate: .dxtan1Question 4: Find the area bounded by the x-axis, the curve y = e2x and the ordinates x = 4 and x = 6.Question 5(a): Find the equation of the line joining the points(7, 9, 3) and (11, 5, 2). (b) Find the equation of the sphere, which contains the circlex2 + y2 + z2 = 16, 3x + 3y + 3z = 17 andpasses through the origin.(1 marks)(5 marks)(2 marks)(2 marks)(2 marks)(3 marks)5Course Code : CS-62Course Title : C Programming & Data StructureAssignment Number : BCA (2)-62/TMA/07Maximum Marks : 10Last Date of Submission : 15th April, 2007This is a tutor marked assignment. There are two questions in this assignment. Answer all the questions. Each question carries equal weightage. You may use illustrations and diagrams to enhance explanations. Question 1: Write a program in c language to merge the contents of two binary search trees into one. Also, calculate the time and space complexities of your program?Question 2: Write a C+ program to create functions that calculate the value of Xn. Assume that X=|=0, n=|=0.6Course Code : CS-62Course Title : C Programming & Data StructureAssignment Number : BCA(2)-62/Project/07Maximum Marks : 15Last Date of Submission : 30th April, 2007This is a project assignment. Answer the following question. You may use illustrations and diagrams to enhance explanation.Question 1:Write a C program to create a calculator. The program will accept an arithmetic expression (assumed to be valid expression of only +, -, *, /, 1/x, and % operations) from the user. Evaluate the expression and display the results. Including the above functions, this calculate should provide the temporary buffer (memory function), to store and retrieve the temporary number values.Note: You may include some features and function in your calculator program.7Course Code : CS-612Course Title : PC Software and Application SkillsAssignment Number : BCA(2)-612/TMA/07Maximum Marks : 10Last Date of Submission : 15th April, 2007This is a tutor marked assignment. There are three questions in this assignment. Answer all the questions. Question 1: What is FTP? Explain commonly used FTP commands.Question 2: What are the basic properties of formulas in MS-Excel? Also explain how formulas are edited in Excel.Question 3: a) Prove that the sum of the squares of the first n integers is 1/24 (2n) (2n+1) (2n+2).b) Explain Konigsberg seven bridge problem. (3 marks)(3 marks)(2 marks)(2 marks)8Course Code : CS-612Course Title : PC Software and Application SkillsAssignment Number : BCA(2)-612/Project/07Maximum Marks : 15Last Date of Submission : 30th April, 2007There are three questions in this project assignment. Answer all the questions. Question 1: Give detailed information on the topic “ Web Browsers” by browsing the Internet. List the browsed URLs and the information associated with them. Question 2: Perform the following tasks using MS-EXCEL:FUEL ESTIMATES COMPUTATIONS: This project is to compute the fuel needed for two types of airplanes, and the cost of the fuel. You must do all computations u