Express 8(cos 135 + j sin 135) in rectangular form.
What is -3.5355 + 3.53585 j?
100
Find the total impedance if the given impedances are connected a) in series and b) in parallel
Z1 = 1 - j; Z2 = 3j
What is
a) 1 + 2j
b) 1.8 - 0.6j ?
200
Make a table of values (list 4 values) and draw the graph of
f(x) = 3^-x
Answer varies
200
Evaluate log 4.
What is 0.6020599913?
200
Solve x - 5j + 2 = 4 - 3j + yj for x and y.
What is x = 2 and y = -2?
200
Express -6 -2j in polar form.
What is 6.3246 angle 198.4 degrees?
200
Find the total impedance if the given impedances are connected a) in series and b) in parallel.
Z1 = 2.19(cos 18.4 + j sin 18.4)
Z2 = 5.16( cos 67.3 + j sin 67.3).
What is
a) 6.803(cos 53.26 + j sin 53.26)
b) 1.6611(cos 32.44 + j sin 32.44)?
300
Evaluate e^-2.75
What is 0.063928?
300
Write log (1/5x) as the sum or difference of two or more logarithms.
What is log 1 - (log 5 + log x)?
300
Simplify 6 - 4j / 1+ j. Express in standard form.
What is 1 -5j?
300
Graph (-8 + 7j) + (-5 -3j)
What is -13 + 4j? Show me the graph.
300
Use the formula V = IZ to determine the missing unit.
I = 4 -3j A
Z = 8 - 15j
What is -13 - 84j V?
400
Make a table of values and graph h(x) = 4e^-x over the domain {x: -4 < x < 2}
Answer varies
400
Write log 5 + log 7 - log 11 as a single logarithm
What is log (35/11)?
400
Explain what it means for two complex numbers to be equal.
What is a = c and b = d?
400
Convert the voltage given by V = -110.4 + 46.1j to polar form.
What is 119.6 angle 157.3 degrees?
400
Use the formula V =IZ to determine the missing unit.
Z = 1 - j.
I = 1 +j A.
What is 2V?
500
Suppose that you are shown the graphs of
y = e^x
y = x^2
y = 2^x and
y = x^3,
but the graphs are not labeled. Explain how you would distinguish among the graphs.
Answers will vary.
500
If log 2 = 0.3010, log 3 = 0.4771, and log 5 = 0.6990 determine the value of log 15.
What is 1.1761?
500
Use the quadratic equation to solve
5x^2 + 2x + 5 = 0
Express in standard form
What is -.2 plus or minus (2 sqrt 6i) /5?
500
Express the current 2.5(cos -50 + j sin -50) in rectangular form.
What is 1.61 - 1.92j A?
500
If the admittance is 4 + 3j, what is the impedance?