Course Code : CS-60

Assignment Number : BCA (2)-60/TMA/06

Maximum Marks: 10

Last Date of Submission : 15^th April, 2006

This is a Tutor Marked Assignment. There are four questions in this assignment. Answer all the questions. You may use illustrations and diagrams to enhance explanations.

Question 1: Differentiate y w.r.t. x where
y = e^(tm-1x4)6 (3 marks)

Question 2: Find: lim_x-&infinity; 19x² + 15x/44x² + 9 (1 ½ marks)

Question 3: If f(x) = {2, if x is an integer
If f(x) = {-2, if x is a real number which is not an integer

Find whether f is continuous at x = 5. (2 ½ marks)

Question 4: For the following function, find a point of maxima and a point of minima, if these exist,

f(x) = 8x⁶ - 14x⁴ + 5x³ - 1. (3 marks)