Recent questions tagged applications of differentiation

+3 votes

1 answer

verify Euler'* theorem for the following functions, u=ax^2+2hxy+by^2

asked Mar 31, 2019 in Class 11 by kratos

+1 vote

1 answer

If the parabola y^2 = 4x and x^2 = 32y intersect at (16, 8) at an angle θ, then θ is equal to :

asked Mar 13, 2019 in Class 11 by kratos

+3 votes

1 answer

Given R = 3600 units/year, C3 = Rs. 50 and C1 = Rs. 4/unit/year, find Q0.

asked Feb 28, 2019 in Class 12 by kratos

+3 votes

1 answer

Let F(u, v) be a function of two variables. Suppose that u = x + y and v = x y. Express ∂^2 F /∂ x ∂ y in terms of u- and v-derivatives of F

asked Feb 15, 2019 in JEE by kratos

+3 votes

1 answer

Let f(x) = sin x; g(x) = x^2 and h(x) = log x. If u (x) = h (f (g (x))), then d^2u/dx^2 is

asked Jan 30, 2019 in Class 12 by kratos

+3 votes

1 answer

If √4 + √8 - 32 + √768 = a√ 2 cos(11π/b), where a and b are natural numbers then (b - a) is divisible by

asked Jan 8, 2019 in Class 11 by kratos

+2 votes

1 answer

Elasticity of demand for necessities is : (a) Zero (b) Unlimited (c) Greater than unity (d) Less than unity

asked Jan 7, 2019 in Class 12 by kratos

+1 vote

1 answer

Explain the distinction between Law of Demand and the Elasticity of Demand.

asked Dec 2, 2018 in Class 12 by kratos

+1 vote

1 answer

Given R = 1000 units/month, C3 = Rs. 350 and C1 = Rs. 0.20/unit/months, find Q°.

asked Nov 18, 2018 in Class 12 by kratos

+2 votes

1 answer

The equation of a line of intersection of plan 4x + 4y - 5z = 12 and 8x + 12y - 13z = 32 can be written as.

asked Sep 28, 2018 in JEE by kratos

+2 votes

1 answer

If cos^-1 x - cos^-1 y/2 = α, then 4x^2 -4xy cos α + y^2 is equal to

asked Sep 9, 2018 in JEE by kratos

+1 vote

1 answer

The cost and revenue functions of a product are given by C(x) = 20 x + 4000 and R(x) = 60x + 2000,

asked Aug 22, 2018 in Class 12 by kratos

+3 votes

1 answer

x^2 + 2x + k is a factor of 2x^4 + x^3 - 14x^2 + 5x + 6. Find the value of k.

asked Jul 24, 2018 in Class 11 by kratos

+3 votes

1 answer

Consider the wave equation ∂^2u/∂x^2u/∂t^2, −∞ < x < ∞, t > 0, with the initial conditions u(x, 0) = f(x), ut(x, 0) = 0.

asked Jul 4, 2018 in JEE by kratos

+3 votes

1 answer

If u^2 = 1/(x^2 + y^2 + z^2) then show that ∂^2u/∂x^2 + ∂^2u/∂y^2 + ∂^2u/∂z^2 = 0.

asked Jul 4, 2018 in Class 12 by kratos

+1 vote

1 answer

The average cost function associated with producing and marketing x units of an item is given by AC = 2x – 11 + 50/x .

asked Jul 3, 2018 in Class 12 by kratos

+3 votes

1 answer

If u = x^2tan^-1(y/x) - y^2tan^-1(x/y), prove that ∂^2u/∂y∂x = (x^2 - y^2)/(x^2 + y^2)

asked Jun 15, 2018 in Class 12 by kratos

+3 votes

1 answer

In an atom with 2K, 8L, 11M and 2N electrons the number of electrons with m = 0 ; * = + are

asked May 19, 2018 in Chemistry by kratos

+3 votes

1 answer

The equation ∂^2u/∂x^2 + ∂^2u/∂y^2 = u holds in the rectangle with vertices (0, 0), (a, 0), (a, b), (0, b).

asked Apr 6, 2018 in Class 12 by kratos

+1 vote

1 answer

The total cost C(x) associated with the production x units of an item is given by C(x) = 0.005 x^3 - 0.02 x^2 + 30x + 5000.

asked Mar 17, 2018 in Class 12 by kratos

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