SMS2410: Assignment 1
Question 1. Sketch the following graph with suitable domain.
(a) f(x, y) =x2+ 3y4 (b) f(x, y) = 4 (c) f(x, y) = 4−y2 (d) f(x, y) = 4−x2+y2 (e) f(x, y) = 6−2x−3y (f) f(x, y) = 4−x2 −y2 Instruction: In each graph, plot the level curves and cross sections first. You have to in- dicate all vertices and all intercept at each axis.
Question 2. Sketch the following graph with suitable domain.
(a) x2+y2+z2 = 1 (b) z =p
x2+y2 (c) x2 + 4y2+ 25z2 = 100 (d) z =−p
x2+y2 (e) 5x+ 2y+z = 10 (f) y= 3−x, (x, y, z)∈R3
Instruction: In each graph, you have to indicate all vertices and all intercept at each axis.
DUE DATE:
SMS2410
Assignment 2: Maple
Question 3. Using Maple, plot the following graph with suitable domain.
(1) f(x, y) = sin(x2+y2) (2) f(x, y) =ex+y2
Question 4. Using Maple, plot each of following type of the graph with suitable domain.
(1) ellipsoid, (2) para-boloid, (3) hyper-boloids.
DUE DATE:
1
