HSC Science (General) १२ वीं कक्षा - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Find the approximate values of : tan^–1(0.999)

Find the approximate values of : cot^–1 (0.999)

Find the approximate values of : tan^–1 (1.001)

Find the approximate values of : e^0.995, given that e = 2.7183.

Find the approximate values of : e^2.1, given that e² = 7.389

Find the approximate values of : 3^2.01, given that log 3 = 1.0986

Find the approximate values of : log_e(101), given that log_e10 = 2.3026.

Find the approximate values of : log_e(9.01), given that log 3 = 1.0986.

Find the approximate values of : f(x) = x³ – 3x + 5 at x = 1.99.

Find the approximate values of : f(x) = x³ + 5x² – 7x + 10 at x = 1.12.

The approximate value of tan (44°30'), given that 1° = 0.0175^c, is ______.

Find the approximate value of the function f(x) = `sqrt(x^2 + 3x)` at x = 1.02.

Solve the following : Find the approximate value of cos^–1 (0.51), given π = 3.1416, `(2)/sqrt(3)` = 1.1547.

In ΔABC, prove the following:

`(cos A)/a + (cos B)/b + (cos C)/c = (a^2 + b^2 + c^2)/(2abc)`

Evaluate the following : `int x^2.log x.dx`

Evaluate the following:

`int x^2 sin 3x  dx`

Evaluate the following:

`int x tan^-1 x . dx`

Evaluate the following : `int x^2tan^-1x.dx`

Evaluate the following : `int x^3.tan^-1x.dx`

Evaluate the following:

`int sec^3x.dx`