11-21-2011, 03:55 AM
Assignment # 2
MTH301 (Fall 2011)
Total marks: 10
Lecture # 9 to 16
Due date: November 21, 2011
DON’T MISS THESE Important instructions:
• Only Question # 5 is graded. Remaining questions are for your practice only therefore, you do not need to send the solution of non-graded questions.
• Upload assignments properly through LMS.
• 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 No: 1
Find the directional derivative of
At P(2, 1, -1) in the direction from P to Q(-1, 2, 0).
Question No: 2
Find the equations of tangent plane and normal line to the surface at the point .
Question No: 3
Check whether the two given surfaces are orthogonal or not
and .
Question No: 4
Find the critical points of f(x,y)=y2+4x2-4x-2y
Question No: 5
Find the critical point(s) of and check whether it is relative maxima, relative minima or a saddle point by using second partial derivative test.
Question No: 6
Find the absolute extrema of f(x) =x3-12x on the interval [-3,3].
MTH301 (Fall 2011)
Total marks: 10
Lecture # 9 to 16
Due date: November 21, 2011
DON’T MISS THESE Important instructions:
• Only Question # 5 is graded. Remaining questions are for your practice only therefore, you do not need to send the solution of non-graded questions.
• Upload assignments properly through LMS.
• 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 No: 1
Find the directional derivative of
At P(2, 1, -1) in the direction from P to Q(-1, 2, 0).
Question No: 2
Find the equations of tangent plane and normal line to the surface at the point .
Question No: 3
Check whether the two given surfaces are orthogonal or not
and .
Question No: 4
Find the critical points of f(x,y)=y2+4x2-4x-2y
Question No: 5
Find the critical point(s) of and check whether it is relative maxima, relative minima or a saddle point by using second partial derivative test.
Question No: 6
Find the absolute extrema of f(x) =x3-12x on the interval [-3,3].
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