HSC Commerce (English Medium) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

The set of feasible solutions of LPP is a ______.

If b_xy < 0 and b_yx < 0 then 'r ' is ______.

Solution which satisfy all constraints is called ______ solution.

A function f is said to be increasing at a point c if ______.

The degree of the differential equation `((d^2y)/dx^2)^2 + (dy/dx)^3` = a^x is 3.

Converse of the statement q `rightarrow` p is ______.

`int(1 - x)^(-2)` dx = `(1 - x)^(-1) + c`

Evaluate `int(1 + x + x^2/(2!) )dx`

Evaluated the following

`int x^3/ sqrt (1 + x^4 )dx`

Evaluate `int (1+x+x^2/(2!))dx`

Evaluate the following.

`int x^3/(sqrt(1+x^4))dx`

Evaluate `int(1+ x + x^2/(2!)) dx`

Evaluate the following.

`int(20 - 12"e"^"x")/(3"e"^"x" - 4) "dx"`

if `f(x) = 4x^3 - 3x^2 + 2x +k, f (0) = - 1 and f (1) = 4, "find " f(x)`

If f′(x) = 4x³ − 3x² + 2x + k, f(0) = -1 and f(1) = 4, find f(x)

Evaluate the following.

`int 1/(x^2+4x-5)  dx`

Evaluate the following

`int1/(x^2 +4x-5)dx`

Evaluate `int 1/("x"("x" - 1)) "dx"`

Evaluate.

`int(5"x"^2 - 6"x" + 3)/(2"x" - 3)  "dx"`

Evaluate the following.

`int 1/(x^2 + 4x - 5)  dx`