Solved question paper for MATH-2 May-2018 (DIPLOMA 1st-2nd)

Solved Question Paper

Applied mathematics-2 May-2018

PSBTE • DIPLOMA • Information Technology • 1st-2nd • May-2018

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. Choose the correct answer

i) If a square matrix A has two identical rows or columns, then det A =

a) 0 b) 1 c) -1 d) none

Very Short Answer 5x1=5 Marks May-2018 • PSBTE DIPLOMA

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(d over dx ) ((tan^{-1} (cot x)) = )

a) -cosec²x b) -1 c) sin²x d)1

Very Short Answer May-2018 • PSBTE DIPLOMA

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∫ log x dx is equal to

a) ({1 over 2} (log x )^2) b) (1 over x) c) x (log x- x) d) 2log x

Very Short Answer May-2018 • PSBTE DIPLOMA

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if x = a cos³ t, y = a sin³t , then (dy over dx) is equal to

a) cot t b) cos t c) cosec t d) – tan t

Very Short Answer May-2018 • PSBTE DIPLOMA

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Degree of (({d^2y over dx^2})^2 = ({1+dy over dx})^3) is

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

Very Short Answer May-2018 • PSBTE DIPLOMA

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State True or False.

a) ({d over dx} (x sin x) = x cos x)

Very Short Answer 5x1=5 Marks May-2018 • PSBTE DIPLOMA

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If D = D₁ = D₂ D₃= 0, system has infinite solution

Very Short Answer May-2018 • PSBTE DIPLOMA

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({d over dx} ({1 over x }) = log x)

Very Short Answer May-2018 • PSBTE DIPLOMA

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If tangent is parallel to x axis, then slope of curve is zero.

Very Short Answer May-2018 • PSBTE DIPLOMA

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∫ e^mx dx = me^mx

Very Short Answer May-2018 • PSBTE DIPLOMA

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Fill in the blanks.

i. If S = cos2t, then velocity is ……………

Very Short Answer 5x1=5 Marks May-2018 • PSBTE DIPLOMA

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The anti derivative of xⁿ is ……………

Very Short Answer May-2018 • PSBTE DIPLOMA

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Relationship between mean, median, and mode is ……………. .

Very Short Answer May-2018 • PSBTE DIPLOMA

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The probability of an impossible event is …………. .

Very Short Answer May-2018 • PSBTE DIPLOMA

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SECTION-B

Q4. Attempt any six questions.

i) Solve by means of determinants the following equations

3x + 2y = 7

11x - 4y = 3

Short Answer 6x5=30 Marks May-2018 • PSBTE DIPLOMA

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The velocity of a body moving in a straight line at different times is given below

t(sec) 0 1 2 3 4 5

v(m/sec) 4 3.98 3.87 3.55 2.83 0.61

Short Answer May-2018 • PSBTE DIPLOMA

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Evaluate (int_0^{pi over 6}) Cos ⁵ 3x dx

Short Answer May-2018 • PSBTE DIPLOMA

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Solve 3Ýe^x tan y dx + (1 + e^x) Sec²y dy = 0

Short Answer May-2018 • PSBTE DIPLOMA

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Find the equation of the normal to the curve y = 6x² - 5y + 3 at (1,4)

Short Answer May-2018 • PSBTE DIPLOMA

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If y = tan(x+ y), prove that (dy over dx) = ({1- y^2 over y^2})

Short Answer May-2018 • PSBTE DIPLOMA

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Find ({ d^4 y over dx^2 } ) if (y = x^3) log x

Short Answer May-2018 • PSBTE DIPLOMA

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Evaluate (int { e^x over e^{2x} + 6e^x + 5})

Short Answer May-2018 • PSBTE DIPLOMA

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A card is drawn from a well shuffled pack of playing cards. What is the probability that it is either a spade or an ace?

Short Answer May-2018 • PSBTE DIPLOMA

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SECTION-C

Q5. Attempt any three questions.

i) Find the maximum or minimum values of the function

2 x³ - 21 x² + 36 - 20

Long Answer 3x10=30 Marks May-2018 • PSBTE DIPLOMA

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a) Evaluate (int {cos x over cos 3x})

b) Differentiate Sinⁿxⁿ wrt x

Long Answer May-2018 • PSBTE DIPLOMA

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Solve the following equations by matrix method

10x + 10y - z = -2

x + 5y + 2z = 0

x - 5y - z = 4

Long Answer May-2018 • PSBTE DIPLOMA

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Evaluate (int {(x^2 + 4) over (x^2 + 1) ( x^2 + 3) } dx)

Long Answer May-2018 • PSBTE DIPLOMA

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Calculate the median and standard deviation from the following data

class interval 1-10 11-20 21-30 31-40 41-50 51-60

frequency 3 16 26 31 16 8

Long Answer May-2018 • PSBTE DIPLOMA

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FAQ

Frequently Asked Questions

Answers about this subject, solved papers, and preparation.

Updated regularly

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-2018 (DIPLOMA 1st-2nd)

Applied mathematics-2 May-2018

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Frequently Asked Questions

t(sec)	0	1	2	3	4	5
v(m/sec)	4	3.98	3.87	3.55	2.83	0.61

class interval	1-10	11-20	21-30	31-40	41-50	51-60
frequency	3	16	26	31	16	8