## Relations and Functions

## Inverse Trigonometric Functions

Find the principle values of the following

Question: 1. `sin^-1(-1/2)`

## Matrices

Question (1) In the matrix

`A=[(2,5,19,-7),(35,-2,5/2,12),(sqrt3,1,-5,17)]`

## Determinants

Evaluate the determinants in Exercises 1 and 2.

Question: 1. `|(2,4),(-5, -1)|`

## Continuity & Differentiability

Question: (1) Prove that the function `f(x)=5x-3` is continuous at `x=0`, at `x=-3` and at `x=5`.

## Application of Derivatives

## Integrals

Find an anti derivative (or integral) of the following by the method of inspection:

## Exemplar Solutions

Question (1) `int(2x-1)/(2x+3)dx` `=-log|(2x+3)^2|+C`

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