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JAIPUR NATIONAL UNIVERSITY, JAIPUR School of Distance Education & Learning Internal Assignment No. 1 Bachelor of Computer Application (BCA) Paper Code: Paper Title: BCA - 105 Basic Mathematics Last Date of submission: Max. Marks: 15 Note: Question No. 1 is of short answer type and is compulsory for all the students. It carries 5 Marks. (Word limits 50-100) Section-A Simplify the expression (4x3)2 + x3 (x3+2x) +3x4. Solve the equation. –(-x-5) + 5(x-9) = 2(x+8)-(2x+5) Solve by using the addition method. 0.4x - 0.6y = 0.5 0.2x – 0.3y = 0.7 (IV) What is the degree of the polynomial 2x9 + 7x3 + 191? (V) Simplify (2x + 5y) + (3x – 2y) Section-B (I) (II) (III) Note: Answer any two questions. Each question carries 5 marks (Word limits 500) Q1. (a) The formula C=23.95d+0.15(m-780) is used to compute the cost or renting car. Compute the value of C when d=7 and m=956. (b) The formula A=P (1+r/n) r is used in investment computation. Compute the value of A When P=8000, r=0.08, n=4, and t=15. Q2. Show that the following system is consistent if and only if c=2a-3b and solve the system in this case 2x-y+3z=a 3x+y-5z=b -5x-5y+21z=c. Q3. Solve each system by either the substitution or elimination by addition method. 1/2x + 1/3y = 2/3 1/3x + 1/5y = 7/15 JAIPUR NATIONAL UNIVERSITY, JAIPUR School of Distance Education & Learning Internal Assignment No. 2 Bachelor of Computer Application (BCA) Paper Code: Paper Title: BCA - 105 Basic Mathematics Last Date of submission: Max. Marks: 15 Note: Question No. 1 is of short answer type and is compulsory for all the students. It carries 5 Marks. (Word limits 50-100) Section-A (I) (II) (III) (IV) (V) Solve the equation. x2 + -5x + 6=0 Solve the term, (√8 + √6) (√3 + √2). Solve the equation, 2x2 + 5x + 3 = 0. Let S = {1, 2, 3}. How many subsets does S contain? What are the basic concepts of sets? How many types of sets there are? Section-B Note: Answer any two questions. Each question carries 5 marks (Word limits 500) Q1. The width of a rectangle is 15 cm less than 3 times the length. If the area is 42 square cm. Find the dimensions of the rectangle. Q2. Use the quadratic formula to solve the following quadratic equations. (A) x2 – 5x – 2 = 0 (B) 3x2 + 12x + 2 = 0 Q3. If A= {4, 5}, B= {6, 7}, C = {7, 8}, then find [(A * B)] U (B * C)]