Evaluating a simple limit

Evaluate Lt [(x2+5x+6)/(2x2-3x)] x→2

Limit of a greatest integer value function

Evaluate limit of [x] as x approaches 2, where [x] is the greatest integral value less than or equal to x.

Calculating an infinite limit

Calculate limit (1/x^2) as x approaches infinity

Limit of trigonometrical functions

Evaluate Limit[tan (a*theta)/sin(b*theta)] as theta approaches zero.

Vertical Shifting of Graphs

Explain about Vertical Shifting of Graphs Using this sketch the graphs of y=x^2+1 and y=x^2-2

Horizontal shifts of graphs

Explain about Horizontal shifts of graphs Sketch the graph of the functions y=(x-1)^2 and y=(x+2)^2

Reflecting a graph about the x-axis

Explain briefly about Reflecting a graph about the x-axis Sketch the graph of y=-x^2

Reflecting a graph about y-axis

Explain about Reflecting a graph about y-axis and sketch the graph of g(x)=sqrt(-x)

Reflection a graph about the origin

The graph of y=x^3 for x>=0 is given below. Complete the graph for x<0.

This problem demonstrates the technique of implicit differentiation.

Differentiate the following.... x^2-4xy+3ysinx=17.