Mathematica# Day 4

Day 4 # 2D and 3D Graphics in Mathematica

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Question 1

                 
Plot a function f(x)=Sin(2x)+Sin(x^2) in Mathematica within range 0 to Pi and show its (a) zeros in red color,  (b) extreme points in black color.    
Use the command
1. Plot
2. MeshFunction
3. MeshStyle
4. Evaluate
5. Derivative

Question 2

                 
Plot a function f(x)=(10 x y)/(2x^2+3y^2) within range -3 to 3 and show its limit behavior (a) x->y,  (b) x->-y (c) x->0,  (d) x->2y
Use the command
1. Table
2. Plot3D
3. RegionFunction
4. Limit