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Archive5: Following questions are taken from Mathematics IEB Exam Paper of June 1994.


Question 1
Solve the following quadratic equation
ENG1.GIF (264 bytes)
 

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Question 2
Given that
ENG2.GIF (395 bytes)

a) Plot both Z1 and Z2* on an Argand diagram.
b) Determine Z1 - Z2
c) Determine Z1 Z2                     
d) DetermineENG3.GIF (189 bytes)
e) Convert Z1 and Z2 into polar form.

Question 3
Given that ENG4.GIF (509 bytes)
a) Determine Z1 + Z2
b) Determine Z1 Z2
c) Determine ENG5.GIF (208 bytes)
d) Find ENG6.GIF (145 bytes)
e) FindENG7.GIF (178 bytes)

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Question 4
for the circuit shown below the impedance of Z2 and Z3 is given by
ENG8.GIF (394 bytes)
the total impedance ZT = Z1 + Z23 and the total current ENG9.GIF (213 bytes)

ENG78.GIF (1849 bytes)

 

Calculate the total current ( I ), given V = 6 volts and
ENG10.GIF (782 bytes)

Question 5
Convert ENG11.GIF (154 bytes) into
a) DMS form
b) radians

Question 6
Given that A=0.934 radians, evaluate the following
a)ENG12.GIF (170 bytes)
b) ENG13.GIF (288 bytes)

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Question 7
Find all the unknown angles and sides in the following diagram.

ENG79.GIF (1985 bytes)

 

Question 8
Solve the equation ENG14.GIF (656 bytes)

Question 9
Solve the equation ENG15.GIF (650 bytes)

Question10
a) Express ENG16.GIF (735 bytes)
where ENG17.GIF (303 bytes)
Hint: There are two stages to the problem (use the known compond angle formulae).

b) Hence solve the equation ENG18.GIF (768 bytes)

c) Plot the follwing graphs on the same set of axes for ENG19.GIF (326 bytes)
ENG20.GIF (1096 bytes)

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