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Mth301 Calculus 2 
11-feb-2012 Paper

Q1.Evalute the double integral

Q2. Check whether the function has relative minima or relative maxima

Yaha per sub kuch diya gaya hai jese  bus hame equate ker k maloom kerna hai kya hai ye either maxima or minama

Q3.find the curl of the vector function examples of page 174 handout

            Lecture 34.

Q4. Line integral se aik question aaya tha lecture 31 page 159,160 handout

Q5.wallis sine formula

Q6 periods se question bohat saray the.

Q7.check whether the function is even or odd

Q8. find the limit of the function of 3 variable xyz

Q9. r(t)= (cost)i+(sint)j+2k 0<=t<=2pi


  1. Lecture 27 k saray graph hai wo sub k graph or equations yad ker le us me se mere 3 4 mcqs aaye the sirf graph select kerna tha ya graph diya gaya tha equation select kerni thi
  2. is that exact differential or not true or false tha
  3. Periods se 8 10 mcqs aaye the hame ye select kerna tha k
    iski equation kya hogi jo image di gae hai uska amplitude kya hai,
    uska uska period kya hai yani is tarah se question aaye the
  4. fourier series se mcqs aaye the
  5. check where function is even or odd
  6. laplace correction se 2 mcqs aaye the
  7. wallis sine formula se 2 mcqs aaye the

Dera ghazi khan

28 august 8:00


First 4 questions of 2 marks

1 was about laplace teorem

2 was I think about laplace theorem

3 was to evaluate integral.also something about line segment was written

4 was to use wallis theorem

Then 4 questions of 3 marks

1.Find new integral after order is changed

2.F(t)= e^2t sin 3t then find laplace

3.Is this exact or not.dont remember what

4.Question about curl.

Then 4 questions of 5 marks

1.fourier series

2.also fourier series

3.chain rule

4.Evaluate integral



There were 4 graph questions

A question of odd function

There were 3 about Laplace transform

And 2 about Laplace inverse transform

1 about  domain

1 coordinate related

1 octant related

If f(x) = so and so then so and so

1 was about disk equation

Equation related to who?euler, gausis,laplace or strokes

1 about derivative

1 about absolute extrema

1 about doubal integral

3 on polar equation (radius,angle)

1 was about  integral of sum of partial derivatives

1 was about vectors

1was for defining  integral of partiall derivative

Derivative was given find vector value function such that function is continuous

Derivative of vector value function

Find integral

Integral of circular path

When is vector field value constant

I think one was to find line integral of a scalar with respect to vector

1 was about wallis sine

Hope these suffic for you J

mohsen eman Thanks 

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