Relations and Functions
Question: 1. Determine whether each of the following relations are reflective, symmetric and transitive: <...Inverse Trigonometric Functions
Find the principle values of the following Question: 1. `sin^-1(-1/2)` Solution:...Matrices
Question (1) In the matrix `A=[(2,5,19,-7),(35,-2,5/2,12),(sqrt3,1,-5,17)]` Write (i... Evaluate the determinants in Exercises 1 and 2. Question: 1. `|(2,4),(-5, -1)|` Question: (1) Prove that the function `f(x)=5x-3` is continuous at `x=0`, at `x=-3` and at `x=5`. Question: (1)Find the rate of change of the area of a circle with respect to its radius `r` when (i)`r= 3 c... Find an anti derivative (or integral) of the following by the method of inspection: Question: Verify the following: Question (1) `int(2x-1)/(2x+3)dx` `=-log|(2x+3)^2|+C`Determinants
Continuity & Differentiability
Application of Derivatives
Integrals
Exemplar Solutions