assignment a math `
TRANSCRIPT
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ASSIGNMENT A:PRE-U STPM 2016
MATHEMATICAL MODELLINGPARAMETRIC EQUATION
PURE MATH
NAME:………………….
CLASS:PRE U SAINS 1SCHOOL: SMK …………………….
TEACHER’S NAME:…………….
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DEFINITION OFMATHEMATICAL MODELING
A mathematical model i !"#$%i&'i() (* ! +'#,
i) mathematical $()$#&' !)"/!)!#. T# &%($# (* "##/(&i) !mathematical model i'#%,#" mathematical modeling.
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RESULTQ#'i() 1
Gi#) 3# 4 +3'5-14 -2 ' 2
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Question 2
Q#'i() 27!8• I #" '%i!/ !)"
#%%(% '( 9)" #' (*&!%!,#'%i$
#;!'i() *(% '##;!'i()
7+-1853
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CURE OF ELLIPSE ANDCIRCLE
3$( '-24 +313i) ' 40 '2 B 32i) '4 +3 $( ' 0
'2 B
To determine at which point
the particles collide, I used
basic trigonometric identityformula, and general
equation of circle and
ellipse . Then, I substituted
the values into the equation
and I found that the particle
collide at t=3 B /2 ,!2,"#
C(//i"#
!' 7-2408
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CONCLUSION + i) "i#%#)' !/# (* ' i) '# &!%!,#'#% #;!'i()4i' "#$%i?#
"i#%#)' &(i)' () '# $%# .H#)$# 4'# $%# $!) ?# "%!@) ?+i) "i#%#)' !/# (* &!%!,#'#%.
F%(, '# #;!'i() i#) 4@# $!) 9)" (' '# &!%!,#'%i$#;!'i().T#%# !%# ,!)+ @!+ '( #' & ! &!%!,#'%i$ #;!'i() !/() ! @# $!) "#'#%,i)# @#'#% i' @i// ,!# $!%'#i!) #;!'i()
?#$(,# )"#%9)#". O)# (* '# !&&/i$!'i() (* &!%!,#'%#i$ #;!'i() i '( !)!/+# '#
,('i() (* &!%'i$/#.
T# %!& (* $!%'#i!) #;!'i() $!) ?# #" '( %#&%##)' '# &!''%!#//#" ?+ &!%'i$/#.
T# i)'#%#$'i() &(i)' (* %!& %#&%##)' '# $(,,() &(i'i()
@#%# '# &!%'i$/# %#!$
# $!) "#'#%,i)# @#'#% $(//ii() !&) (% )(' ?+ 9)"i) '#'i,# @#) '#+ %#!$ '# '# i)'#%#$'i() &(i)'. I* '#+ %#!$ '#i)'#%#$'i() &(i)' !' '# !,# 'i,#4 $(//ii() !&)#" .I* '#+ "()(' %#!$ '# i)'#%#$'i() &(i)' $(//ii() i )(' !&)#"
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…..THE END…..
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explicit function i ! *)$'i() '!' i #&%##"$/#!%/+. T#%#*(%#4 i' (/" ?# #!+ '( )"#%'!)"!)" !&&/+. M(%# &%#$i#/+4 i' i ! *)$'i() '!' i@%i''#) i) '#%, (* !) i)"#)"#)'4 (% i)&'4!%i!?/#.
# !//+ @%i'# #&/i$i' *)$'i() ! ()# !%i!?/#i) '#%, (* !)('#% !%i!?/#. A i,&/# #!,&/# (*!) #&/i$i' *)$'i() i ! /i)#!% *)$'i() $ ! y 3
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Ti i @!' I $!// !) implicit function - i'"#)" () ?(' x !)" y x !)" y $!))(' ?##&!%!'#". I $!)' @%i'# f(x) #;!/ (,#*)$'i() (* x i' ! '( ?# (,# *)$'i()
(* x !)" y . I' i,&(%'!)' '( )('# '!' *)$'i()/i# 'i !%#)' %#!//+ *)$'i()4 !' /#!' i) '#'%!"i'i()!/ #)#. !' "( I ,#!)J L#' (?!$ '( (% $i%$/#4 x 2 > y 2 3 1. I (/#" i'*(% y 3 '# ;!%# %((' (* 71 - x 28 !)" y 3 -
'# ;!%# %((' (* 71 - x 284 ( I !# '@(*)$'i() '!' !%# i,&/i$i' i) (% i,&/i$i'*)$'i(). L#' '!# ! /(( !' !)('#% #!,&/#.
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I)"#)"#)' A !%i!?/# i) !) #;!'i() '!' ,!+ !# i' !/# *%##/+
$(#) @i'(' $()i"#%i) !/# (* !)+ ('#% !%i!?/#. F(%#;!'i() $ ! y 3 x 24 '# i)"#)"#)' !%i!?/# i x . T# !%i!?/# y i )(' i)"#)"#)' i)$# i' "#)" () '#),?#% $(#) *(% x .
D#)" !%i!?/#
A !%i!?/# '!' "#)" () ()# (% ,(%# ('#% !%i!?/#. F(%#;!'i() $ ! y 3 x 24 '# "#)"#)' !%i!?/# i y . T# !/# (* y "#)" () '# !/# $(#) *(% x . U!//+'# "#)"#)' !%i!?/# i i(/!'#" () ()# i"# (* !)
#;!'i(). F(%,!//+4 ! "#)"#)' !%i!?/# i ! !%i!?/# i) !)#&%#i()4 #;!'i()4 (% *)$'i() '!' ! i' !/#"#'#%,i)#" ?+ '# $(i$# (* !/#78 (* ('#% !%i!?/#78.
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