Lovely Professional University 2010 B.Tech Electronics and Communications Engineering Assignment 01 - exam paper
it is not possible to write so i m attaching it
HOME WORK: I
School: Department: Mathematics
Name of the faculty member: Course No:MTH101
Course Title: Engineering Mathematics-I
Class:B.tech Term:I Section:C4001 Batch:2010
Max. Marks:25 Date of Allotment:14/08/10 Date of Submission:27/08/10
Part-A
Q1 (a) Evaluate the following limit ,
(b) Is the function when and continuous at origin? Redefine if necessary to make it continuous at(0,0).
Q2. Prove that satisfies the wave equation where c is a constant. Verify this when .
Q3. (a) Find if .
(b)Find the rate at which the area of a rectangle is increasing at a given instant when the sides of the rectangle are 4 ft and 3 ft and are increasing at the rate of 1.5 ft/sec and 0.5 ft/sec respectively.
Part-B
Q4. (a) Prove that if .
(b) Change the Laplace Equation in Cartesian coordinates into polar coordinates.
Q5. (a) Find when .
(b) If show thatand .
Q6. (a) If and , find .
(b)If ,,, find .
Earning: Approval pending. |