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

Solved Question Paper

Applied mathematics-2 May-2017

PSBTE • DIPLOMA • Information Technology • 1st-2nd • May-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.

Question papers (year-wise) Solutions

Solved Questions

Solved

SECTION – A

Q1. (A) Choose the correct answer:

(i) If D ≠ 0, then system has

(a) Infinite Solution (b) Unique Solution (c) Not a Solution (d) None of the above

Very Short Answer 5x1=5 Marks May-2017 • PSBTE DIPLOMA

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lim_x->0 (sin x - x over x)

(a) 1 (b) -1 (c) 0 (d) ∞

Very Short Answer May-2017 • PSBTE DIPLOMA

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(int_o^1 {1 over 1+x^2}) dx =

(a) (pi/2) (b)(pi over 4) (c) 1 (d) 0

Very Short Answer May-2017 • PSBTE DIPLOMA

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The order of differential equation ( ({d^4 y over dx^4})^2 + 3 ({d^2 y over dx^2})^4 + y = 0) is

(a) 4 (b) 2 (c) 8 (d) 1

Very Short Answer May-2017 • PSBTE DIPLOMA

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If f(-x) = f(x) then the function is

(a) odd (b) even (c) both (d) none

Very Short Answer May-2017 • PSBTE DIPLOMA

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State true or false.

i. (int log x dx = {1 over x})

Very Short Answer 5 x 1 = 5 Marks May-2017 • PSBTE DIPLOMA

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The differential coefficient of a constant is one.

Very Short Answer May-2017 • PSBTE DIPLOMA

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Dec 2017
The differential co-efficient of a constant is ------.
Tossing of a coin is an event and the turning up of head and tail is a trial

Very Short Answer May-2017 • PSBTE DIPLOMA

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Median is a measure of central tendency

Very Short Answer May-2017 • PSBTE DIPLOMA

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Fill in the blanks.

i. Derivative of x⁶ w.r.t x³ is ………….

Very Short Answer 5x1=5 Marks May-2017 • PSBTE DIPLOMA

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A matrix is said to be singular if its ………….

Very Short Answer May-2017 • PSBTE DIPLOMA

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The square of …………… is called variance.

Very Short Answer May-2017 • PSBTE DIPLOMA

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Arithmetic mean of 10 terms is 7. If each term is decreased by 3, then the new mean is ………..

Very Short Answer May-2017 • PSBTE DIPLOMA

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Area bounded by the curve, y = 4 x - x²and x-axis and the ordinates x=1 and x= 3 is …………..

Very Short Answer May-2017 • PSBTE DIPLOMA

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SECTION – B

Q2. Attempt any six questions.

Short Answer 6x5=30 Marks May-2017 • PSBTE DIPLOMA

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If x^y = e^x-y Prove that ({dy over dx} = {logx over(1+logx^2)})

Short Answer May-2017 • PSBTE DIPLOMA

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Evalluate (x int cos^2 x dx)

Short Answer May-2017 • PSBTE DIPLOMA

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Using Cramer’s rule find the value of x and y for

6x - 4y = -24

5x - 11y = -43

Short Answer May-2017 • PSBTE DIPLOMA

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if y = (tan^-1x)² Prove that (1 + x²)²y₂ + 2x (1+ x²) y₁ = 2

Short Answer May-2017 • PSBTE DIPLOMA

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Dec 2018
If y = tan^-1x , prove that (1 +x²) y₂ + 2xy₁ = 0
Find the equation of tangent to the curve y = 9x²- 12x + 9 which is parallel to x-axis

Short Answer May-2017 • PSBTE DIPLOMA

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Find the approximate area under the smooth curve whose ordinates are given below by the method of trapezoidal rule

x 1 2 3 4 5 6 7 8

y 2 2.6 3 3.2 2.8 2 1.5 1

Short Answer May-2017 • PSBTE DIPLOMA

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Evaluate (int { cosx dx over 2cosx +son x})

Short Answer May-2017 • PSBTE DIPLOMA

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The students work independently on a problem. The probability that the first will solve it is 2/3 and probability that the second one will solve is 2/9 . Find the probability that the problem will be solved.

Short Answer May-2017 • PSBTE DIPLOMA

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Solve ((xy^2 + x )dx/dy = yx^2 - y)

Short Answer May-2017 • PSBTE DIPLOMA

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May 2017
Solve
\r\n\r\n
\\(x^2 {dy \\over dx} - x^2 - 2y^2 + xy\\)

SECTION – C

Q3. Attempt any three questions.

(i) Solve the following equations by matrix method

x + y - z = -2

2x - y - z = -7

4x + y + 2z = 4

Long Answer 3x10=30 Marks May-2017 • PSBTE DIPLOMA

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Dec 2018
SECTION-C

Q3. Attempt any three questions.
i. Solve the following equations by matrix method
3x + y + 2z = 3

2x - 3y - z = -3

x + 2y + z = 4

Dec 2017
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
Find the maximum and minimum values of the function

2x³ -15x² + 36x +10

Long Answer May-2017 • PSBTE DIPLOMA

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Dec 2018
Find the maximum and minimum values of the function x³ - 6x² + 9x + 15
Calculate the standard deviation from the following data

x 25 35 45 55 65 75 85

f 3 61 132 153 140 51 2

Long Answer May-2017 • PSBTE DIPLOMA

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Show that

(int_0^{pi over 4} log (1 + tan Q) dQ = {pi over 8 }log 2)

Long Answer May-2017 • PSBTE DIPLOMA

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Solve

(x^2 {dy over dx} - x^2 - 2y^2 + xy)

Long Answer May-2017 • PSBTE DIPLOMA

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May 2017
Solve \\((xy^2 + x )dx/dy = yx^2 - y\\)

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FAQ

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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.

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

Applied mathematics-2 May-2017

Solved Questions

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PSBTE

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Frequently Asked Questions

x	1	2	3	4	5	6	7	8
y	2	2.6	3	3.2	2.8	2	1.5	1

x	25	35	45	55	65	75	85
f	3	61	132	153	140	51	2