HSC Commerce (English Medium) १२ वीं कक्षा - Maharashtra State Board Question Bank Solutions

The power of highest ordered derivative when all the derivatives are made free from negative and/or fractional indices if any is called ______ of the differential equation

Order and degree of differential equation`(("d"^3y)/("d"x^3))^(1/6)`= 9 is ______

State whether the following statement is True or False: 

Order and degree of differential equation are always positive integers.

State whether the following statement is True or False: 

The degree of a differential equation is the power of highest ordered derivative when all the derivatives are made free from negative and/or fractional indices if any

 Order of highest derivative occurring in the differential equation is called the degree of the differential equation

State whether the following statement is True or False:  

The degree of a differential equation `"e"^(-("d"y)/("d"x)) = ("d"y)/("d"x) + "c"` is not defined

State whether the following statement is True or False:

Order and degree of differential equation `x ("d"^3y)/("d"x^3) + 6(("d"^2y)/("d"x^2))^2 + y` = 0 is (2, 2)

State whether the following statement is True or False:

Correlation analysis is the theory of games

Compute the appropriate regression equation for the following data:

Choose the correct alternative:

The assignment problem is solved by ______

The Hungarian method is an ______ algorithm that solves an assignment problem

State whether the following statement is True or False:

Optimal assignments are made in the Hungarian method to cells in the reduced matrix that contain a zero

State whether the following statement is True or False: 

The Hungarian method is used to assign n jobs on 2 machines to get the optimal sequence

The order and degree of the differential equation `[1 + ((dy)/(dx))^3]^(2/3) = 8((d^3y)/(dx^3))` are respectively ______.

State whether the following statement is true or false.

If f'(x) > 0 for all x ∈ (a, b) then f(x) is decreasing function in the interval (a, b).

y² = (x + c)³ is the general solution of the differential equation ______.

Write the converse, inverse, and contrapositive of the statement. "If 2 + 5 = 10, then 4 + 10 = 20."

Conditional of p → q is equivalent to p → ∼ q.

If f(x) = `x - 1/x`, x∈R, x ≠ 0 then f(x) is increasing.

`int 1/(a^2 - x^2) dx = 1/(2a) xx` ______.