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.

CONFIDENTIAL

$T

H'b

LH3

UNIVERSITI

TUN

HUSSEIN

ONN MALAYSIA

FINAL

EXAMINATION

SEMESTER

I

sESr

2012t20r3

COURSE NAME

COURSE

CODE

PROGRAMME

EXAMINATION

DATE

DURATION

INSTRUCTION

ENGINEERING

MATHEMATICS

I

BDA 14003

BACHELOR

OF MECHANICAL

ENGINEERING

WITH

HONOURS

JANUARY 2013

3

HOURS

ANSWER ALL

QUESTIONS

THIS

QUESTION

PAPER

CONTAINS SIX(6) PAGES

CONFIDENTIAL

8/11/2019 BDA+14003

2/6

BDA 14003

51

(a).

The high tide

Portland, Maine,

on

April

25,2011

was at midnight.

The height

of

the

water in the

harbor

is

a

periodic

function, since

it

oscillates

between

high

and

low

tide

.lf

t in

hours

since

midnight,

the

height

(in

feet)

is approximated

by the

formula

(i)

Sketch

of this

function

from t

=

O to t

:24.

(ii)

What was the

water

level

at

high

tide?

(iii)

When was

low

tide,

and

what

was the

water

level

at

that

time?

(iv)

What

is the

period

of

this

function,

ffid

what

does

it represent

in

terms

of

tides?

(v)

What is

the amplitude

of

this

function,

and

what

does

it

represent

in

terms

of

tides?

(

l0

marks)

(b)

Determine

the

domain

and

range

for

(i)

y=#

(-x,

x

1

dx

t*uz

lul.lFt

I#=sin-1

(1)*

c'

lxl

dx:1pAt4x

sinzx*

coszx:L

tanzx=

seczx-t

cotzx=

coseczx-L

la,= [ra>

a"