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12th Standard English Medium Maths Subject Application of Differential Calculus Creative 3 Mark Questions with Solution Part - II

12th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 15

    3 Marks

    5 x 3 = 15
  1. Prove that \(\frac { x }{ 1+x } \) < < log (1+ x) for x > 0.

  2. Verify LMV theorem for f(x) = x3 - 2x2 - x + 3 in [0, 1].

  3. The volume of a cube is increasing at the rate of 8cm3/s.How fast is the surface area increasing when the length of an edge is 12cm?

  4. Find the angle between two curves 2x2+y2=20 and x2-4y2+8=0

  5. Write down the Taylor series expansion of the function cos x in ascending powers \(x-\frac { \pi }{ 4 } \) upto three non-zero terms.

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