Recent questions tagged mean value theorems

+3 votes

1 answer

∫cosxdx, x∈[0,π/2] =? (a) -1 (b) 1 (c) π/2 (d) 0

asked Mar 25, 2019 in JEE by kratos

+2 votes

1 answer

The maximum prescribed concntration of copper in dringking water is -

asked Mar 13, 2019 in JEE by kratos

+1 vote

1 answer

If Rolle’* theorem holds for the function f(x) = 2x^3 + bx^2 + cx, x ∈ −[1 ,1] , at the point x = 1/2, then 2b + c equals

asked Mar 7, 2019 in JEE by kratos

+2 votes

1 answer

Let f(x) satisty the requirement of Lagrange'* mean value theorem in [0, 2].

asked Feb 24, 2019 in JEE by kratos

+1 vote

1 answer

Find the value of C in Roll'* theorem when f (x) = 2x^3 – 5x^2 – 4x + 3, x ∈ [1/3 , 3] is

asked Feb 7, 2019 in JEE by kratos

+1 vote

1 answer

Determine the name of the name of the curve described parametrically by the equations.

asked Feb 4, 2019 in JEE by kratos

+1 vote

1 answer

Find the points on the curve y = x^3 – 2x^2 – x at which the tangent lines are parallel to the line y = 3x – 2.

asked Feb 1, 2019 in Class 12 by kratos

+1 vote

1 answer

If f: [-5,5]→ R is a differentiable function and if f'(x) does not vanish anywhere,prove that

asked Jan 13, 2019 in JEE by kratos

+1 vote

1 answer

The value of c in the Lagrange'* mean value theorem for the function f(x) = x^3 – 4x^2 + 8x + 11, when x ∈ [0, 1] is :

asked Jan 8, 2019 in JEE by kratos

+2 votes

1 answer

If f (x) = x^α log x and f(0) = 0, then the value of α for which Rolle’* theorem can be applied in [0, 1] is

asked Jan 2, 2019 in JEE by kratos

+2 votes

1 answer

If a + b + c = 0, then the quadratic equation 3ax^2 + 2bx + c = 0 has

asked Dec 25, 2018 in JEE by kratos

+3 votes

1 answer

Let f(x) = x^4 – 6x^3 + 12x^2 – 8x + 3. If Rolle'* theorem is applicable to ϕ(x) on [2, 2 + h] and there exist c ∈ (2, 2 + h) such

asked Dec 21, 2018 in JEE by kratos

+1 vote

1 answer

The function f(x) = x^3 – 6x^2 + ax + b satisfy the conditions of Rolle’* theorem in [1, 3]. The value of a and b are

asked Dec 16, 2018 in JEE by kratos

+3 votes

1 answer

If f(x) = x^3 + bx^2 + cx + d and 0 < b^2 < c, then which of following is INCORRECT?

asked Dec 7, 2018 in JEE by kratos

+1 vote

1 answer

If A = [(2, -4), (-5, 3)], then find A + A^2 and AA'.

asked Dec 6, 2018 in Class 12 by kratos

+2 votes

1 answer

In the figure shown the acceleration of A is,vactor aA = 15î +15 j then the acceleration of B is:

asked Dec 5, 2018 in JEE by kratos

+1 vote

1 answer

If f(x) = e^x, x ∈ [0,1], then a number 'c' of Lagrange'* mean value theorem is ? (A) log(e - 1) (B) log(c + 1) (C) log e (D) None of these

asked Nov 26, 2018 in Class 12 by kratos

+1 vote

1 answer

In a + b + c = 0, than the equation 3ax^2 + 2bx + c = 0 has, in the interval (0, 1)

asked Nov 12, 2018 in JEE by kratos

+1 vote

1 answer

If c is a point at which Rolle'* theorem holds for the function, f(x) = loge((x^2 + α)/7x) in the interval [3, 4],

asked Oct 25, 2018 in JEE by kratos

+3 votes

1 answer

Verify Rolle'* theorem for f(x) = x^2 - 5x + 6 in [2,3]

asked Oct 19, 2018 in Class 12 by kratos

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