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Mathematics tests s2s5-25-4-2012
1. Mathematics Test
Senior 2 Science 5
25-4-2012
1. Evaluate the integrals. ( You must show your works clearly) 18%
a) (1+si
2
4
n3x)dx
2 1
b)
1
( x )2 dx
x
5 2
c)
1
( x 2 3 x )dx
x
2. Sketch and find the area of the region between y x 3 , and the lines y x and y 1 .16%
3. Find the volume generated by revolving the region above the curve y 3 x 2 ,under the line
y 1 ,and between x 0 and x 1 ,about the x axis . 16%
y 2 xy 12
4. Solve the equations 2 15%
x xy 28
4
x 1
y
5. Solve the equations 15%
y 4 25
x
6. Solve the equation 6 x 4 5x3 38x2 5x 6 0 . 10%
5 3
7.Solve the equation 2 x 2 3x 9 x 2 ( x 1) . 10%
2 2