Archive2: These questions are taken from Board of Studies VCE 1998: Mathematical Methods - CAT2 part I

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Question 4 The function f : R R, f(x) = a cos (bx) + c, where a, b and c are positive constants, has period

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Question 5
The graph of y = sin x is transformed into the graph y = 3 sin (2x)by

A.  a dilation in the y-direction by a scale factor of 3 and a translation in the x-direction of 2 units.

B.  a dilation in the y-direction by a scale factor of 2 and a translation in the x-direction of units.

C.  a dilation in the y-direction by a scale factor of 2 and a dilation in the x-direction by a scale factor of 3.

D.  a dilation in the y-direction by a scale factor of 3 and a translation in the x-direction of units.

E.  a ditation in the y-direction by a scale factor of 3 and a dilation in the x-direction by a scale factor of      .

Question 6

Question 7

Question 8
The eggs laid by a particular breed of chicken have a mass which is normally distributed with a mean of 61g and a standard deviation of 2.5g.  The probability, correct to four decimal places, that a single egg has a mass between 60g and 65g is
A.  0.2000
B.  0.2898
C.  0.6006
D.  0.6826
E.  0.9452

(VCE 1998: Mathematical methods - CAT2 part I)

 

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