∆2y0 is equal to from Mathematics Continuity and Diff

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 Multiple Choice QuestionsMultiple Choice Questions

181.

Let f(x) = 15 - x - 10 ; x  R. Then the set of all values of x, at which the function, g(x) = f(f(x) is not differentiable, is:

  • {5, 10, 15}

  • {10}

  • {10, 15}

  • {5, 0, 15, 20}


182.

If fx = sinp + 1x + sinxx,  x < 0q,                                x = 0x2 + x - xx32,        x > 0 is continuous at x = 0, then the ordered pair (p, q) is equal to :

  • - 12, 32

  • - 32, - 12

  • 52, 12

  • - 32, 12


183.

Let f R  R : be differentiable at c  R  and f(c) = 0. If g(x) = fx, then at x = c , g is

  • not differentiable

  • differentiable if f'(c) = 0

  • not differentiable if f'(c) = 0

  • differentiable if f'(c)  0


184.

If f(x) is continuous on - π, π, where

fx = - 2sinx,      for - π  x  - π2αsinx + β,   for - π2 < x < π2cosx,            for π2  x  π

then α and β are

  • - 1, - 1

  • 1, - 1

  • 1, 1

  • - 1, 1


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185.

If f(x) = log1 - 3x1 +3x,      for x  0k,                                for x = 0 continuous at x = 0, then k is equal to

  • - 2

  • 2

  • 1

  • - 1


186.

If x = log1 + t2 and y = t - tan-1t. Then, dydx is equal to

  • ex - 1

  • t2 - 1

  • ex - 12

  • ex - y


187.

ddxseccos-1x8 is equal to

  • 18

  • - 18

  • 8x2

  • 8x2


188.

If f(x) = 1 + cos2x2, then f'π2 is

  • π6

  • - π6

  • 16

  • π6


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189.

If y = asin3θ and x = acos3θ, then at θ = π3, dydx is equal to

  • π6

  • - 3

  • - 13

  • 3


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190.

2y0 is equal to

  • 2y2 - 2y1 - y0

  • y2 - 2y1 - y0

  • 2y2 - 2y1 + y0

  • y2 - 2y1 + y0


D.

y2 - 2y1 + y0

Now, y0 = y1 - y0   2y0 = y1 - y0                = y1 - y0                = y2 - y1 - y1 + y0                = y2 - 2y1 +y0


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