HSC Science (Electronics) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

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.

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`

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

Evaluate the following : `int x^3.logx.dx`

Evaluate the following : `int e^(2x).cos 3x.dx`

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

Evaluate the following : `int x^2*cos^-1 x*dx`

Evaluate the following : `int log(logx)/x.dx`