HSC Commerce (English Medium) इयत्ता १२ वी - Maharashtra State Board Question Bank Solutions

Evaluate.

`int x^3e^(x^2)dx`

Find the rate of change of demand (x) of a commodity with respect to its price (y) if y = 12 + 10`x + 25x^2`

Find `dy/dx` if, `y = e^(5x^2 - 2x+4)`

Solve the following.

If `y=root(5)((3x^2 + 8x + 5)^4)`, find `dy/dx`

Find `(dy) / (dx)` if, `y = e ^ (5x^2 - 2x + 4)`

If `y = root{5}{(3x^2 + 8x + 5)^4}, "find"  dy/dx`.

Find `dy/(dx)` if, y = `e^(5x^2 - 2x + 4)`

If y = `root{5}{(3x^2 + 8x + 5)^4)`, find `(dy)/(dx)`

Find `dy/dx` if, `y = e^(5x^2 - 2x +  4)`.

Solve the following:

If y = `root5((3x^2 + 8x + 5)^4)`, find `dy/(dx)`.

Evaluate `int1/(x(x - 1))  dx`

Price P for demand D is given as P = 183 +120D - 3D² Find D for which the price is increasing

Write down the following statements in symbolic form :

(A) A triangle is equilateral if and only if it is equiangular.
(B) Price increases and demand falls

Test whether the function is increasing or decreasing. 

f(x) = `"x" -1/"x"`, x ∈ R, x ≠ 0, 

The price P for demand D is given as P = 183 + 120 D – 3D².
Find D for which the price is increasing.

If x = cos2 θ and y = cot θ then find `dy/dx  at  θ=pi/4` 

The consumption expenditure E_c of a person with the income x. is given by E_c = 0.0006x² + 0.003x. Find MPC, MPS, APC and APS when the income x = 200.

Find `dy/dx,if e^x+e^y=e^(x-y)`

Using truth table show that ∼ (p → ∼ q) ≡ p ∧ q 

Evaluate: ∫ x . log x dx