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1 MT-102

1. The document is a calculus exam with two sections - Section A contains 10 short answer questions worth 2 marks each, and students should attempt 6 questions. Section B contains 7 long answer questions worth 5 marks each, and students should attempt 4 questions. 2. Section A asks questions about curve tracing, Bernoulli's equation, solving differential equations, curvature, signed curvature, and types of variables. 3. Section B asks questions about finding asymptotes of a curve, solving systems of equations, the purpose of solving math equations quickly, implicit differentiation, solving a linear equation, an example of an equation with the answer of 300, and the use of integration and meaning of <=> in math.

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227 views2 pages

1 MT-102

1. The document is a calculus exam with two sections - Section A contains 10 short answer questions worth 2 marks each, and students should attempt 6 questions. Section B contains 7 long answer questions worth 5 marks each, and students should attempt 4 questions. 2. Section A asks questions about curve tracing, Bernoulli's equation, solving differential equations, curvature, signed curvature, and types of variables. 3. Section B asks questions about finding asymptotes of a curve, solving systems of equations, the purpose of solving math equations quickly, implicit differentiation, solving a linear equation, an example of an equation with the answer of 300, and the use of integration and meaning of <=> in math.

Uploaded by

Ravi
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Examinier No.

: ________ Total Printed Pages: ___

MT-102
(Calculus)
Time: 3 Hours Max. Marks: 35
The Question paper is in two sections - A & B. Section-A consists of 10 short answer type
1
questions of 2 marks each (word limit 100 words). Attempt any SIX questions. form Section-
2
A. consists of 7 descriptive type questions. Each question is of 5 marks (word limit 300 words).
Students are required to attempt any FOUR questions from Section-B. If necessary, use
graphs, charts and diagrams to explain your answer.
----------------------------------------------------------------------------------------------------------------
SECTION - A
𝟏
Q.1 Short type question answer (any six) 𝟐 ×6=15
𝟐

i) Show all the case of symmetry for trace the any curve

in curve tracing

ii) What are the Bernoulli equation?

iii) Solve this: - f (x) dx + g (y) dy = 0

iv) What is signed curvature?

v) How do you define curvature?

vi) 𝑥𝑑𝑦 𝑑𝑦
Solve this: (𝑦 −
𝑑𝑥
) = 3 (1 − 𝑥 2 𝑑𝑥
)
vii) Solve this: -𝑑𝑦 = f (ax+by+c)
𝑑𝑥

viii) 𝑥 𝑦𝑑𝑥−𝑥𝑑𝑦
Solve this: - 𝑑 ( ) =
𝑦 𝑦2

ix) What is the value of IF in the following linear


𝑑𝑦
differential equation? + 𝑌 tan 𝑥 = 𝑥 2 𝑐𝑜𝑠 2 𝑥
𝑑𝑥
x) What are the three types of variables?

SECTION - B 5×4=20

Attempt any four questions

Q.2 Find the asymptotes of the curve: -

X3-4xy2-3x2+12xy-12y2+8x+2y+4=0

Q.3 2𝑥 + 2𝑦 = 9
Solve: -
2𝑥 + 𝑦= 8

Q.4 What is the point of solving math equations quickly?

Q.5 𝑥 𝑎𝑡 2
Find the: - =
𝑦 𝑦2𝑎𝑡

Q.6 How do you solve the equation?

2(x-1)-3(x-2)+4(x-3)=2(x+5) ?

Q.7 What is a math equation where the answer is 300?

Q.8 What is the use of integration in mathematics? what does

(<=>) mean in math?

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