MTH301 Midterm Past Paper 2011

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$mth301 midterm nov 2011 paper & share ur paper$

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11-27-2011, 12:52 PM

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$mth301 midterm nov 2011 paper & share ur paper$ · Total 26 Questions: · 20 MCQS. (Which is mostly from past papers) · 6 Long questions: · Long Questions are here:

Q21. Write down the equation of a plane passing through the point (3,-4, 2) and

perpendicular to the vector n=4i+3j+6k

Q22. Lets xyz is three positive integers, whose sum is 18 and the product of two

integers with square of third integers will be maximum. Wright the function to be

maximized in the function x and y.

Q23. Find the critical point for the function f(x, y) =xò+yòalong the line y+2-2xat which

the absolute extrema of the function can exist.

Q24. Find the equation of normal line (symmetric form) to the surface f(x, y) =xò+yò+zò-6

at the point (-1, 2, 1).

Q25. Using second partial derivative test show that the function f(x, y) =xy (24-x-y) is

maximum at x=8 and y=8.

Q26. Find the gradient of the f(x, y, z) =yzó- 2xò.

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