Objective Question (MCQ) Marks
[ marks]07 1. For the Jacobian , value of the is
[ marks](b) (3) (4) 2. Value of for
[ marks](b) (c) (d) 3. is a homogeneous function of degree
[ marks]1/2 (b) (c) (d) 4. The curve is
[ marks]straight line (b) point at distance ‘2’ on initial line
[ marks]circle with centre origin and radius 2 (d) cardioid 5. If ,then which is correct?
[ marks](b)
[ marks](d) 6. Infinite Sequence is
[ marks]convergent (b) divergent (c) oscillatory (d) None of these 7. Infinite Series
[ marks]convergent (b) divergent (c) oscillatory (d) None of these
[ marks]07 1. Infinite series is
[ marks]convergent (b) divergent (c) oscillatory (d) None of these 2. Curve is symmetric to
[ marks]X-axis (b) line (c) line (d) Y- axis 3.
[ marks](b) 0 (c) (d) 4. The sum of the series is
[ marks](b) (c) 2 (d) 5. The Maclaurin series for the function is
[ marks](b) (c) (d) 6. The straight line is revolved about x- axis between . The generated solid is
[ marks]cone (b) sphere (c) cuboid (d) cylinder 7. For a series , if , then
[ marks]series is convergent (b) series is divergent
[ marks]sum of series is finite number
[ marks]series is conditionally convergent
[ marks]03 Find the Taylor series for at .
[ marks]Is the series absolutely convergent or conditionally convergent?
[4 marks](i) Discuss the convergence of the series (ii) Find the Radius of convergence for the series .03
[4 marks]Evaluate
[3 marks]Trace the curve
[4 marks]07 Prove that the series is convergent if and divergent if
[ marks]03 Evaluate .
[ marks]Find the equation of the tangent plane and normal line to the surface at .
[4 marks]04
[ marks]Evaluate . (ii) Evaluate03
[ marks]If , prove that .
[3 marks]Find maximum and minimum values.
[4 marks]If , prove that07
[ marks](ii)
[ marks]The region between the curve and the -axis is revolved about the -axis to generate a solid. Find its volume.
[3 marks]Using volume by slicing method, find the volume of a cylinder with radius ‘ ’ and height ‘ ’ .
[4 marks]07 Evaluate ; is triangle using transformations .
[ marks]Evaluate over the area bounded between the circles and .
[3 marks]Evaluate Change the order of integration and evaluate.
[4 marks]07
[ marks]