Question1
The equation for the graph below is y:=A*cos(f*theta)*sin (theta),A represented amplitued,A=1,f represented frequency,in this case f is changes, theta=0..2*Pi

GRAPH 1

"f=1"

GRAPH 2

"f=2"

GRAPH 3

"f=3"

Below is the combination of GRAPH 1 until GRAPH 4

GRAPH 4

Below is the animation of the combination of above graphs with the values of A=2,f=1 until 3 and the value of theta remain constant

GRAPH 5

Question2
GRAPH6 represented by equation y:=sin(x^3),with the value of x=-Pi..Pi

GRAPH 6

IMAGE 1 is the 2D dimension's image.

IMAGE1

IMAGE 2 is the 2D dimension's image.

IMAGE 2

IMAGE 1 is the 3D dimension's image.

IMAGE1

IMAGE 1 is the 3D dimension's image.

IMAGE2

Below is the VRML picture converted from the 3D plotting above

VRML picture

Below is the VRML picture converted from the 3D plotting above

VRML picture

Below is my 3D animated picture using the equation, sin(sqrt(x^2)-phi)*cos(y), whereas x=-5 until 5,y=-5 until 5,phi=0 until Pi/2

3D Animation