Assignment # 2 (Graded)
MTH301 (Fall 2014)
Total marks: 40
Lecture # 1 to 17
Due date: December 17, 2014
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Question No: 1
Convert the cylindrical coordinates into spherical coordinates.
Question No: 2
Let, then find at (0, 1).
Question No: 3
Find the equations of tangent plane and normal line to the surface x^2+y^2-z=17 at the point P(1,2,-3).
Question No: 4
Find the critical point(s) of f(x,y)=3x^2+2y^2-xy-3x and check whether it is relative maxima, relative minima or a saddle point by using second partial derivative test.
I have tried to solve these questions. Please note and inform about the any errors if found. (File attached)
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