Assesment : TUTORIAL EXERCISE 3

Sesion : JUN 2013

Programme : ELECTRICAL ENGINEERING ( ___________) / MECHANICAL ENGINEERING ( ___________)

Name : ______________________________________________________________________________

Matrix Num : ______________________________________________________________________________

Date : ______________________________________________________________________________

Instruction:

1. Answer all questions

SOALAN 1

Letf ( x , y )=x2+3 xy+ y−1 . Interpret the values of

∂ f∂ x and

∂2 f∂ y ∂ x at the point (4, -5).

(5 marks)

SOALAN 2

The volume of a cone is given by the equation:V=1

3π r2h

. Solve the total differential to relate the change in volume if the height h

increases from 10 to 10.1 cm and the radius r decreases from 12 to 11.95 cm.

(10 marks)

SOALAN 3

Find .

x3−xy+ y2=7(5 marks)

BA601 – ENGINEERING MATHEMATICS 5

POLITEKNIK KOTA BHARU

JABATAN MATEMATIK, SAINS & KOMPUTER