Assignment # 2
MTH301 (Spring 2012)
Total marks: 10
Lecture # 7 to 15
Due Date: May 02, 2012
DON’T MISS THESE Important instructions:
Only Question # 1 is graded. Remaining questions are for your practice only
therefore, you do not need to send the solution of non-graded questions.
All students are directed to use the font and style of text as is used in this
document.
This is an individual assignment, not group assignment, so keep in mind that you
are supposed to submit your own, self made & different assignment even if you
discuss the questions with your class fellows. All similar assignments (even with
some meaningless modifications) will be awarded zero marks and no excuse will
be accepted. This is your responsibility to keep your assignment safe from
others.
Solve the assignment on MS word document and upload your word (.doc) files only
Question # 1
Find the directional derivative of 2
(, ) ln
f
xy y x at P(1,4) in the direction of
33aij .
Question # 2
Find a unit vector in the direction in which function 22
(, )
f
xy x y
increases most
rapidly at P(4, -3}. .
Question # 3
Find the vector projection of vector 2 6 4bijk
on vector 3 5aijk
Question # 4
Find the volume of the parallelepiped
Where
2 3 5aijk
34bi j k
3 2 4bi jk
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