Assignment # 2
MTH301 (Spring 2011)
Total marks: 10
Lecture # 9 to 15
Due date: 02/05/2011
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.
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- Solve the assignment on MS word document and upload your word (.doc) files only.
Question 1:
Find a unit vector in the direction in which the function
increases most rapidly at
Question 2:
Find the equations of tangent plane and normal line to the surface
at the point
.
Question # 3
Check whether the sphere
and the cone
are orthogonal or not.
Question # 4:
The length, width and height of a rectangular box are measured to be 3cm, 4cm and 5cm respectively, with a maximum error of 0.05cm in each measurement. Use differentials to approximate the maximum error in the calculated volume.
Question # 5
Given
. Find local extrema and saddle points for the given function.
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