Archive5: Following questions
are taken from Mathematics IEB Exam Paper of June 1994.
Question 1
Solve the following quadratic equation
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Question 2
Given that
a) Plot both Z1 and Z2*
on an Argand diagram.
b) Determine Z1 - Z2
c) Determine Z1 Z2
d) Determine
e) Convert Z1 and Z2
into polar form.
Question 3
Given that
a) Determine Z1 + Z2
b) Determine Z1 Z2
c) Determine
d) Find
e) Find
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Question 4
for the circuit shown below the impedance of Z2
and Z3 is given by
the total impedance ZT = Z1
+ Z23 and the total current
Calculate the total current ( I ), given V = 6 volts and
Question 5
Convert into
a) DMS form
b) radians
Question 6
Given that A=0.934 radians, evaluate the following
a)
b)
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Question 7
Find all the unknown angles and sides in the following diagram.
Question 8
Solve the equation
Question 9
Solve the equation
Question10
a) Express
where
Hint: There are two stages to the problem (use the known compond angle formulae).
b) Hence solve the equation
c) Plot the follwing graphs on the same set of axes for