MAT 103 CALCULUS KCA Past Paper

UNIVERSITY EXAMINATIONS: 2017/2018
EXAMINATION FOR THE CERTIFICATE IN BRIDGING MATHEMATICS
MAT 103: CALCULUS
DATE: DECEMBER, 2017 TIME: 1 ½ HOURS
INSTRUCTIONS: Answer Question ONE and any other TWO questions.

QUESTION ONE
a) Define
i) Calculus (2 Marks)
ii) Function. (2 Marks)
iii) Variable (2 Marks)

d) The displacement of a particle, in meters (s), with time (t seconds) is given by:

Determine
i) The distance travelled in the 6th second (3 Marks)
ii) The instant at which the velocity is equal to 10ms-1 (3 Marks)
iii) The acceleration at t = 4s (3 Marks)
iv) The time at which the particle is at rest (3 Marks)
QUESTION TWO