which topics does complex number come under as?
then it asks find the max and min of
you could solve for , you would get it as a function of x and y and you minimize and maximize that. but that requires calc 3. so too much work.
another way is to let geometry help you. if you graphed what's happening in the complex plane, you would notice that z must lie on the circle of radius 2 centered at (3,3). draw a line from the origin passing through (3,3) cutting right across the circle. the length of the line segment from the origin to the first place the line cuts the circle is the min |z|, add the diameter of the circle to that, that is, add 4, and you get the max |z|
(by the way, | is a symbol found on your keyboard. hold down shift and press \)
no, |z| is a real number. it is the modulus of z, which is a magnitude.but shouldnt it be in the form of a+bi
since y=imaginary and x=real
as mentioned above, |z| is a real number, not a coordinate. and do not use decimals, leave your answer exact as you did aboveso the final answer would be? min(1.59,1.59) (3sf)?