Multivariable Calculus (FSCT3205)
Mechanical Engineering - MEN
Semester: Second Semester
Level: 300
Year: 2014
UNIVERSITY OF BAMENDA
HIGHER TECHNICAL TEACHER TRAINING COLLEGE
CONTINUOUS ASSESSMENT
DEPARTMENT : Fundamental Sc. COURSE INSTRUCTOR: Tanyu Vivian
MONTH : May COURSE CODE & NUMBER: MAT221
YEAR : 2014 COURSE TITLE: Function with Several Variable
DATE : 22/05/2014 CREDIT VALUE: Three Credits
TIME ALLOWED : 1 hour
INSTRUCTION:Answer all the Questions
1. let z = f(x, y) where x = 2s + 3t and y = 3s – 2t. Find (i)
, (ii)
2. Find and classify all the critical points of f(x,y) =
(
)/
3. Find the minimum value of f(x, y) =
+
subject to the constraint x
2
y = 16
4. Use the iterated integral to find the area of the region bounded by the graphs f(x) = sin x and g(x) =cos x
between x = /4 and x = 5 /4
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