Nothing Special   »   [go: up one dir, main page]
Scribd Logo
Upload

Welcome to Scribd!

  • 30 views

    Mathematicsdf

    Uploaded by

    pacito pacito
    This document contains a sample exam for a Basic Mathematics course with 7 questions covering topics like calculus, algebra, matrices, and finance. Students are instructed to attempt any 4 of the 7 questions within the 1 hour time limit. The questions involve tasks like minimizing average cost functions, evaluating derivatives, solving exponential growth problems, and determining rates of change for functions.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd

    Mathematicsdf

    Uploaded by

    pacito pacito
    30 views2 pages
    This document contains a sample exam for a Basic Mathematics course with 7 questions covering topics like calculus, algebra, matrices, and finance. Students are instructed to attempt any 4 of the 7 questions within the 1 hour time limit. The questions involve tasks like minimizing average cost functions, evaluating derivatives, solving exponential growth problems, and determining rates of change for functions.

    Original Description:

    Copyright

    © © All Rights Reserved

    Available Formats

    PDF, TXT or read online from Scribd

    Did you find this document useful?

    Is this content inappropriate?

    This document contains a sample exam for a Basic Mathematics course with 7 questions covering topics like calculus, algebra, matrices, and finance. Students are instructed to attempt any 4 of the 7 questions within the 1 hour time limit. The questions involve tasks like minimizing average cost functions, evaluating derivatives, solving exponential growth problems, and determining rates of change for functions.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    30 views2 pages

    Mathematicsdf

    Uploaded by

    pacito pacito
    This document contains a sample exam for a Basic Mathematics course with 7 questions covering topics like calculus, algebra, matrices, and finance. Students are instructed to attempt any 4 of the 7 questions within the 1 hour time limit. The questions involve tasks like minimizing average cost functions, evaluating derivatives, solving exponential growth problems, and determining rates of change for functions.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 2

    COLLEGE OF BANKING AND FINANCE

    INTERNAL EXAMINATION AUGUST 2022; AFFILIATED COLLEGE


    BASIC MATHEMATICS BA(BS) – 511
    BBA – V
    Time: 1 Hrs Max Marks: 40

    INSTRUCTIONS: Attempt any 4 Questions. Do not write anything on the question paper.

    Q1.
    a) The total cost of producing q units of a certain product is described by the function
    C = 100,000 + 1500 q + 0.2 q^2
    Where C is the total cost stated in dollars. Determine the number of units of q that should be
    produced in order to minimize the average cost per unit.

    b) Find the derivative of following functions (Do any one)

    Q2. An investment of Rs 200,000 is made which earns interest at the rate of 8 percent per year, if
    interest is compounded continuously
    i. Determine the exponential function which states the compounded amount as a
    function of years of investment ‘t’
    ii. What will be the amount Rs 200,000 grow to if it is invested for 5 years?
    iii. Solve equation ln(x^2 + 3) – lnx^2 = 1
    iv. For the quadratic equation y = x^2 – 4x + 3 determine followings: a. Which way the
    parabola opens? b. The vertex c. The roots
    Q3.
    a) A manufacturer produces their production by two units, Unit ‘A’ makes 150 LED TV set and
    800 Smart TV set in a month. Another unit ‘B’ makes 440 LED TV and 860 Smart TV in a
    month. Represent the information into matrix form, also find the production of each unit in the
    duration of one financial year.
    b) Find the inverse of A, and show that A–1A = I

    Page 1 of 2
    Q4.
    a) Determine the domain of the function f(x) = √10 – x
    b) Given f(x, y) = x^2 – 6xy + 2y^2 determine f(5, 10)
    c) Exponential function f(x) = x^2 + 3x – 4e^x Compute f(0) and f(–3)
    d) Determine the average rate of change in the value of y in moving from x = –1 to x = 2
    Y = f(x) = 2x^2 + 6x + 3

    Q5.
    a) Determine the maximum and minimum point of the following curve:

    b) Solve the differential Equation

    Q6.
    a) The ratio of annual incomes of A and B is 4 : 3 and their annual expenditure is 3 : 2 . If each
    of them saves 10000 rupees in a year, find their annual income.
    b) Solve the complex equation and determine the value of x and y.

    Q7.
    a) A businessman deposited Rs.120,000 in a credit account which pay interest @ 6% per year
    compounding semi-annually, calculate the total amount for 3 years.
    b) An individual invests Rs 25,000 in a money market fund which is expected to yield interest at
    a rate of 12 percent per year compounded quarterly, if the interest remains stable, to what amount
    should be the Rs 25,000 grow over the 5 years? How much interest will be earned during this
    period?
    ~~~ Good Luck ~~~~

    Page 2 of 2

    You might also like