IJC H2Maths 2013 Promo Soln
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*: Not in topics tested for 2014 SRJC Promo 1* (i) Find the expansion of 2 1 (4 2) x x + √ + in ascending powers of x, up to and including the term in 2 x . [3] (ii) State the range of values of x for which this expansion is valid. [1] (iii) Write down the equation of the tangent to the curve 2 1 (4 2) x y x + = √ + at the point where x = 0. [1] 1(i) ( ) ( ) ( ) ( ) ( ) 2 1 2 2 1 2 2 2 2 2 2 2 2 2 1 (4 2) 1 4 2 1 1 1 2 2 1 3 1 1 2 2 1 1 ... 2 2 2 2! 2 1 3 1 1 ... 2 4 32 1 1 3 1 ... 2 8 64 2 1 1 35 ... 2 8 64 x x x x x x x x x x x x x x x x x - - + √ + = + + = + + - ×- = + + - + + = + - + + = - + + + = - + + (ii) 1 2 1 1 2 2 2 x x x < -< < - < < (iii) 1 1 2 8 y x = - 2013 H2 Maths MCE_Marking Scheme
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IJC H2Maths 2013 Promo Soln
Transcript of IJC H2Maths 2013 Promo Soln
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*: Not in topics tested for 2014 SRJC Promo
1* (i) Find the expansion of 21
(4 2 )x
x
+
+ in ascending powers of x, up to and including the
term in 2x . [3]
(ii) State the range of values of x for which this expansion is valid. [1]
(iii) Write down the equation of the tangent to the curve 21
(4 2 )xy
x
+= +
at the point where x = 0. [1]
1(i)
( )( )( )( )( )
2
12 2
122
22
2 2
2 2
2
1(4 2 )
1 4 2
1 1 12 2
1 31 1 2 21 1 ...2 2 2 2! 2
1 31 1 ...2 4 321 1 3 1
...
2 8 64 21 1 35
...
2 8 64
x
x
x x
xx
x xx
xx x
x x x
x x
+
+= + +
= + +
= + + + +
= + + +
= + + +
= + +
(ii) 1
2
1 12
2 2
x
x
x
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