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

If y = x . log x then `dy/dx` = ______.

If y = (log x)² the `dy/dx` = ______.

Graphical solution set of the inequations x ≥ 0 and y ≤ 0 lies in ______ quadrant.

A marketing manager has list of salesmen and territories. Considering the travelling cost of the salesmen and the nature of territory, the marketing manager estimates the total of cost per month (in thousand rupees) for each salesman in each territory. Suppose these amounts are as follows:

Find the assignment of salesman to territories that will result in minimum cost.

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

Find `dy/dx  "if",y=x^(e^x) `

FInd `dy/dx` if,`x=e^(3t), y=e^sqrtt`

Find `dy/dx  "if",  y = x^(e^x)`

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

Evaluate :

`int(4x - 6)/(x^2 - 3x + 5)^(3/2)  dx`

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

`int(1-x)^-2 dx` = ______

`int1/sqrt(x^2 - a^2) dx` = ______

`intsqrt(1+x)  dx` = ______

Solution of the equation `xdy/dx=y log y` is ______

Evaluate the following.

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

Evaluate: 

`int(1+logx)/(x(3+logx)(2+3logx))  dx`

A metal wire of 36 cm long is bent to form a rectangle. Find its dimensions when its area is maximum.

If the area enclosed by y = f(x), X-axis, x = a, x = b and y = g(x), X-axis, x = a, x = b are equal, then f(x) = g(x).

To solve the problem of maximization objective, all the elements in the matrix are subtracted from the largest element in the matrix.