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

Solve the following problem :

Solve the following assignment problem to maximize sales:

Solve the following problem :

The estimated sales (tons) per month in four different cities by five different managers are given below:

Find out the assignment of managers to cities in order to maximize sales.

Use quantifiers to convert the given open sentence defined on N into a true statement

n² ≥ 1

Use quantifiers to convert the given open sentence defined on N into a true statement.

3x – 4 < 9

Use quantifiers to convert the given open sentence defined on N into a true statement.

Y + 4 > 6

Choose the correct alternative:

If y = (x )^x + (10)^x, then `("d"y)/("d"x)` = ?

If x^y = 2^{x – y}, then `("d"y)/("d"x)` = ______

If y = `"a"^((1 + log"x"))`, then `("d"y)/("d"x)` is ______

If u = 5^x and v = log x, then `("du")/("dv")` is ______

If u = e^x and v = log_e x, then `("du")/("dv")` is ______

State whether the following statement is True or False:

If y = log(log x), then `("d"y)/("d"x)` = logx

State whether the following statement is True or False:

If y = 4^x, then `("d"y)/("d"x)` = 4^x  

Find `("d"y)/("d"x)`, if y = [log(log(logx))]² 

Find `(dy)/(dx)`, if x^y = y^x 

Find `("d"y)/("d"x)`, if xy = log(xy)

Find `("d"y)/("d"x)`, if x = `sqrt(1 + "u"^2)`, y = log(1 +u²)

If x = t.logt, y = t^t, then show that `("d"y)/("d"x)` = t^t 

Find `("d"y)/("d"x)`, if y = (log x)^x + (x)log^x

Find `("d"y)/("d"x)`, if y = x^x + (7x – 1)^x 

Find `("d"y)/("d"x)`, if y = `x^(x^x)`