ENGR 1320 Homework Assignment #3
A. Create a new Tab in your Custom Menu called “Complex” and add to this Tab, these complex number functions:
conj(), abs(), angle(), real(), imag(), csolve()
HA4-1. Find the complex solutions (roots).
x 2  4x  5  0
3x 2  2 x  2  0
HA4-2. Express in Standard Form:
(2  3i )  (1  2i )
HA4-3. Given
z1 * z 2
z
z1 / z 2
2
z1  3  i , z 2  1  2i , find the complex conjugates:
z1  z 2
HA4-5. Given
(2  3i)( 1  2i)
(3  i)
z1  3  2i , z 2  2  i , express in Standard Form:
z1  z 2
HA4-4. Given
1
(3  i)
(2  3i )( 1  2i )
z1 * z 2
z1 / z 2
z  1 2i , find the following complex numbers and plot them on the Argand Diagram.
z2
z
z
1
z
HA4-6. Find Modulus and Principal Argument of the following complex numbers:
z1  1  i
z 3  4
z 2  3  2i
z 4  4i
HA4-7. Given
z1  3  2i , z 2  2  i , express each Polar Form:
1320_HA3.docx
B. Given the Table of Thermodynamic properties, write a Function program, called Interp(arg1, arg2, arg3, arg4,
arg5), that has as its input five (5) arguments, and performs linear interpolation..
Those arguments would be the 1) the known value, 2) the table entry higher than the known value, 3) the table entry
lower than the known value, and 4) & 5) the higher and lower table entries of the unknown value to be found.
The output value of the function will be the single interpolated value, calculated from the Table entries. Provide a
hard copy listing of your function program. Given the following Table (from Thermodynamics):
T (oC)
200
250
300
350
400
V (m3/kg)
0.20602
0.23275
0.25799
0.28250
0.30661
Determine (using your interp() function), the Temperature (T in oC), given a Specific Volume of 0.261 m3/kg.
For a S.V. of 0.261 m3/kg, the temperature is __________
o
C.
C. Create a new Tab in your Custom Menu called “Tools” and add this function to that Tab.
D. Record your program listing below:
1320_HA3.docx