Lovely Professional University 2010 B.Tech Electronics and Communications Engineering Assignment 02 - exam paper
it is not posssible to write so i am attaching it
HOME WORK: II
School: Department: Mathematics
Name of the faculty member: Course No:MTH101
Course Title: Engineering Mathematics-I
Class: Term:I Section: Batch:2010
Max. Marks:25 Date of Allotment: Date of Submission:
Part-A
Q1. (a) Find if .
(b) Using Leibnitzs rule ,find the nth derivative of .
(c) Expand the polynomial in powers of ( x-2).
Q2. (a) Evalluate (i) (ii) .
(b) Find ,and for the cycloid ,
Q3. (a) Find the radius of curvature of the following curves
(i) ,
(ii)
(b) Find the radius of curvature at origin to the following curve
.
Part-B
Q4. (a) Expand in powers of (x-1) and (x-2) using Taylors series.
(b) Find the Maclaurins expansion of upto terms of 3rd degree.
Q5. (a) Test the function for maxima,minima and saddle points
(b) Show that the rectangular solid of maximum volume that can be inscribed in a sphere is a cube.
Q6. (a) Find the minimum value of subjected to the condition =1.
(b) Find the maximum and minimum distances of the point (3,4,12) from the unit sphere with center at origin.
Earning: Approval pending. |