Business Administration Course Documents

MODULE: CALCULUS FOR SOCIAL SCIENCE (MAT 1045) CODE: TAR-01
DATE : Sample Test 1 (Summer 2017) DURATION : 75 Minutes

INSTRUCTIONS : DO ALL QUESTIONS ON THE QUESTION PAPER .

SECTION A (15 marks)
Shade the correct answer on the question paper provided.
==================================================================
1. lim 25 = 6. Given f ( p)  p 2  2 p . The average rate of
x 5
(a) 25 change over the interval 1  p  3 equals:
(b) 5 (a) 1
(c) 1 (b) 2
(d) 0 (c) 12
 x2  x  2  (d) -1
2. lim  
x 1
 x 1 
Answer questions 7 - 9 based on the following:
(a) -3
(b) 0
x  2 if x  2
(c) 2 Given f  x    2
(d) undefined x 1 if x  2
1
3. lim e x = 7. Lim f ( x) 
x 2 
x 

(a) e (a) 1
(b) 1 (b) 3
(c) 0 (c) 4
(d)  (d) The limit does not exist
 6 x  3x3 
4. Evaluate lim   = 8. Lim f ( x) 
3 x 2 
x 
 x 
(a) The limit does not exist (a) 1
(b) 0 (b) 3
(c) 3 (c) 4
(d) 6 (d) The limit does not exist

9. Which of the following is true:
2 x  4 if x  3
5. Given that f  x   
kx  1 if x  3 (a) f (x) is discontinuous at x = 2
(b) f (x) is continuous at x = 2
Find the value of k so that f (x) is continuous: (c) f (2) is not defined
(a) 0
(d) Lim f ( x) exist
(b) 2 x 2

(c) 3
(d) 7 10. If f ( x)  4 then f (x) is equal to:
(a) 4
(b) 2
(c) 1
(d) 0

1