Solved question paper for MATH-2 Dec-2017 (DIPLOMA 1st-2nd)

Solved Question Paper

Applied mathematics-2 Dec-2017

PSBTE • DIPLOMA • Information Technology • 1st-2nd • Dec-2017

Applied Mathematics-2 for Punjab State Board of Technical Education Diploma in Engineering helps students find subject-wise previous year question papers for the 1st-2nd semester. This page is useful for checking exam pattern questions, revising repeated topics, and understanding how the paper is usually framed from old papers. Students can use these MATH-2 papers to prepare for semester-wise revision, practice important questions, and look for diploma question paper PDF searches in one place. BRpaper is not the official website of Punjab State Board of Technical Education, and the papers here are only for study and reference.

Solved Questions

Solved
  1. SECTION-A

    Q1. Choose the correct answer.

    i. Which one is a measure of dispersion?

    a) Mean b) Median c) Mode d) Range

    Very Short Answer 5x1=5 Marks Dec-2017 • PSBTE DIPLOMA
  2. Order of differential equation (y''')2 + 2y'' + 3y = x

    a) 1 b) 2 c) 3 d) 4

    Very Short Answer Dec-2017 • PSBTE DIPLOMA
  3. A square matrix A is singular if |Ü£ |is

    a) 0 b) 1 c) 2 d) 3

    Very Short Answer Dec-2017 • PSBTE DIPLOMA
  4. If x = sin3t ,then acceleration at (pi over 2) à¬¶ is (x stands for displacement at time t)

    a) -9 b) -3 c) 3 d) 9

    Very Short Answer Dec-2017 • PSBTE DIPLOMA
  5. The equation of the normal to the curve y = sinx at (0, 0) is

    a) x = 0 b) y = 0 c) x + y = 0  d) x - y = 0

    Very Short Answer Dec-2017 • PSBTE DIPLOMA
  6. State True or False.

    a. limQ->0 sinQ/Q is equal to 1

    Very Short Answer 5x1=5 Marks Dec-2017 • PSBTE DIPLOMA
  7. (int sin 4x dx = cos 4x)

    Very Short Answer Dec-2017 • PSBTE DIPLOMA
  8. If D≠0, then system has unique solution

    Very Short Answer Dec-2017 • PSBTE DIPLOMA
  9. If the mean of 4, 3, 7, x, 10  is 6 then x = 6 

    Very Short Answer Dec-2017 • PSBTE DIPLOMA
  10. The integral of log x w.r.t x is 1/x

    Very Short Answer Dec-2017 • PSBTE DIPLOMA
  11. Fill in the blanks.

    (int e ^{mx}) Ý€ is equal to -------

    Very Short Answer 5x1=5 Marks Dec-2017 • PSBTE DIPLOMA
  12. Area of trapezoid = 1/2 (sum of parallel side) x -------.

    Very Short Answer Dec-2017 • PSBTE DIPLOMA
  13. If AB is defined then (AB)t = -------------

    Very Short Answer Dec-2017 • PSBTE DIPLOMA
  14. Integration is defined as the ------ of differentiation.

    Very Short Answer Dec-2017 • PSBTE DIPLOMA
  15. The differential co-efficient of a constant is ------.

    Very Short Answer Dec-2017 • PSBTE DIPLOMA
  16. SECTION-B

    Q4. Attempt any six questions.

    (i) If = a(t + 1/t), y = a(t - 1/t) where “a” is constant. Then prove that dy/dx = x/y

    Short Answer 6x5=30 Marks Dec-2017 • PSBTE DIPLOMA
  17. If ݇ kx + y - z = 0  and  x-  2y + z = 3, and 4x - 3y + z = 5 system is inconsistent, then find the value of ݇k

    Short Answer Dec-2017 • PSBTE DIPLOMA
  18. Evaluate ∫ dx/1+cotx

    Short Answer Dec-2017 • PSBTE DIPLOMA
  19. If y = (sin-1 x)2  prove that (1+ x2) y2 - xy1 = 2

    Short Answer Dec-2017 • PSBTE DIPLOMA
  20. Evaluate (int)cos4 x dx

    Short Answer Dec-2017 • PSBTE DIPLOMA
  21. The probability of the horse A winning the race is 1/4 and the probability of horse B winning the race is 1/3, find the probability that one of the horse wins the race.

    Short Answer Dec-2017 • PSBTE DIPLOMA
  22. Calculate the median of the following data:-

    Class interval 0-5 5-10 10-15 15-20 20-25 25-30 30-35
    Frequency 12 15 25 40 42 14 8

     

    Short Answer Dec-2017 • PSBTE DIPLOMA
  23. Find the point on the curve y = 10 + 2x - x2 the curve has slope unity.

    Short Answer Dec-2017 • PSBTE DIPLOMA
  24. SECTION-C

    Q5. Attempt any three questions.

    (i) Solve the following equations by matrix method

    x - y + z = 4 , x - 2y - 2z = 9 , 2x + y + 3z = 1 

    Long Answer 3x10=30 Marks Dec-2017 • PSBTE DIPLOMA
  25. Using Simpson’s Rule, calculate the approximate value of  (int_0^1 {1 over 1 +x^2}) by dividing the interval 0 to 1 into four equal parts. Hence obtain the value of π correct to four places of decimals.

    Long Answer Dec-2017 • PSBTE DIPLOMA
  26. Solve the differential equation 

    (y^2 (x^2 - 1){dy over dx} - x^2 (y^2 - 1) = 0)

    Long Answer Dec-2017 • PSBTE DIPLOMA
  27. a) Differentiate etan x w.r.t sin x

    b) Determine the point of maxima of f(x) = sin x + cos x in 0<= x pi/2

    Long Answer Dec-2017 • PSBTE DIPLOMA
  28. Find S.D and coefficient of variation of following data

    Marks  0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80
    No of student 5 10 20 40 30 20 10 4

     

    Long Answer Dec-2017 • PSBTE DIPLOMA

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FAQ

Frequently Asked Questions

Answers about this subject, solved papers, and preparation.

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01 Where can I find MATH-2 previous year question papers for PSBTE Diploma?

You can use this subject page to find Applied Mathematics-2 previous year question papers for the PSBTE Diploma in Engineering 1st-2nd semester.

02 Is this page useful for downloading MATH-2 question paper PDFs?

Yes, students often use this page to look for MATH-2 question paper PDF access and old paper references for revision.

03 Can I use these papers to understand the exam pattern?

Yes, old papers help you see common question types, repeated topics, and the usual exam pattern for Applied Mathematics-2.

04 Are solved question papers available here?

This page is mainly for previous year question papers and study reference. It does not claim to provide official solved papers.

05 What is the best way to prepare with MATH-2 old papers?

Use the papers for subject-wise practice, revise repeated questions, and focus on the units that appear often in past exams.