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

Evaluate `int 1/((2"x" + 3))` dx

Evaluate `int "x - 1"/sqrt("x + 4")` dx

Evaluate: If f '(x) = `sqrt"x"` and f(1) = 2, then find the value of f(x).

Evaluate: ∫ |x| dx if x < 0

Evaluate: `int 1/(2"x" + 3"x" log"x")` dx

Evaluate: `int 1/(sqrt("x") + "x")` dx

Evaluate: `int (2"e"^"x" - 3)/(4"e"^"x" + 1)` dx

Evaluate: `int "e"^"x" (1 + "x")/(2 + "x")^2` dx

Evaluate: `int "x" * "e"^"2x"` dx

Evaluate: `int log ("x"^2 + "x")` dx

Evaluate: `int "e"^sqrt"x"` dx

Evaluate: `int sqrt("x"^2 + 2"x" + 5)` dx

Evaluate: `int sqrt(x^2 - 8x + 7)` dx

Choose the correct alternative:

There are ______ types of regression equations

The HRD manager of a company wants to find a measure which he can use to fix the monthly income of persons applying for the job in the production department. As an experimental project, he collected data of 7 persons from that department referring to years of service and their monthly incomes.

1. Find the regression equation of income on years of service.
2. What initial start would you recommend for a person applying for the job after having served in a similar capacity in another company for 13 years?

Calculate the regression equations of X on Y and Y on X from the following data:

From the following data estimate y when x = 125.

The following table gives the aptitude test scores and productivity indices of 10 workers selected at random.

Obtain the two regression equations and estimate the productivity index of a worker whose test score is 95.

The following table gives the aptitude test scores and productivity indices of 10 workers selected at random.

Obtain the two regression equations and estimate the test score when the productivity index is 75.

Compute the appropriate regression equation for the following data: