For polar form you need to find the modulus (length of the vector) and the argument (angle of the vector) and present in form rcis(Arg) or re^Argi
start with the modulus r=sqrt(a^2 +b^2)
=sqrt(-2^2 +2^2)
= sqrt(4+4)
=sqrt(8)
=2sqrt(2)
next the argument, firstly arg=tan(b/a)
= tan(2/2)
=tan(1)
=pi/4 . (exact values table)
Now consider the quadrant the complex number is in, as it is (-2,2) it is in the second quadrant and as such your Arg value is:
Arg=pi-arg
= pi-pi/4
= 3pi/4
add it all together and your complex number in polar form is:
2sqrt2cis(3pi/4)
note: cis is short hand for cos(x)+isin(x), it is possible your tutor would rather you use the complex exponential form which is simply re^Argi and your answer would look like:
2sqrt2e^(3pi/4)i
Also notice the difference between arg and Arg as this often slips students up and always present Arg in prinicple argument form ie -pi<Arg<pi
Hopefully this has been clear enough and good luck
1 gallon = 4 quarts
2570 x 4 = 10,280 quarts of gas
10280/7 = 1468.571 quarts per day
rounded to nearest hundredth is 1468.57 quarts
Answer:
4. c + b/a
Step-by-step explanation:
ax - b = c (Given)
ax = c + b (Add b on both sides)
x = c + b/a = (Divide a on both sides)
Answer:
Because +- or - + = -
Step-by-step explanation:
-a + b = - c
a + - b = - c
-a × b = - c
a × - b = -c
Extra references:
-ve ×/+ -ve = +ve
+ve ×/+ -ve = - ve
-ve ×/+ +ve = - ve
+ve ×/+ +ve = +ve
Hope these could solve your problem.
