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complex numbers maths help

Could you please help me with these questions
This is advanced higher maths.
I'll try to attach a photo.
Reply 1
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dude1568
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image-cb83b52c-4766-44f0-b909-250e8cf1113930422492168610926-compressed.jpg.jpeg

I'm stuck on all the questions but please help with Q1 first
i am not sure if Q3 is complex numbers ?

:holmes:
Reply 3
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dude1568
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Original post by the bear
i am not sure if Q3 is complex numbers ?

:holmes:

Your right. It's parametric differentiation.
But still someone pleeeeeaaaase help
so if z = a + bi then the conjugate is a - bi

so on the left you have

a + bi + 2i(a - bi)

which must match up with the right 8 + 7i

so the real bits on the left must come to 8, and the imaginary bits on the left must come to 7i
Reply 5
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dude1568
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Original post by the bear
so if z = a + bi then the conjugate is a - bi

so on the left you have

a + bi + 2i(a - bi)

which must match up with the right 8 + 7i

so the real bits on the left must come to 8, and the imaginary bits on the left must come to 7i


It says express z in the form a+ib. Does that mean you can make z = a+ib and sub it in?
Original post by dude1568
It says express z in the form a+ib. Does that mean you can make z = a+ib and sub it in?

Exactly that. And z bar would be the conjugate (a - ib)
Original post by dude1568
It says express z in the form a+ib. Does that mean you can make z = a+ib and sub it in?

yes
Reply 8
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dude1568
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image-0e9dc240-7bd2-4db2-af28-5c8db1bebd166435443268903585055-compressed.jpg.jpeg
How do I continue from here
Reply 9
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mqb2766
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Original post by dude1568
image-0e9dc240-7bd2-4db2-af28-5c8db1bebd166435443268903585055-compressed.jpg.jpeg
How do I continue from here

match real and imaginary parts to get 2 linear equations and solve for a and b.
Start from line 3.
Reply 10
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dude1568
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Thanks guys. Can someone please help me with Q3?
I have got dy/dx = (4t-1)/2t 1
What do I do next?
(edited 4 years ago)
Original post by dude1568
Thanks guys. Can someone please help me with Q3?


What are you stuck with
a) just sub the values in and show they're consistent for the same value of t
b) find dx/dt and dy/dt so dy/dx = ... and evaluate it at the value of t.
Reply 12
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dude1568
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Original post by mqb2766
What are you stuck with
a) just sub the values in and show they're consistent for the same value of t
b) find dx/dt and dy/dt so dy/dx = ... and evaluate it at the value of t.


What is t?
Original post by dude1568
What is t?

Solve for it?

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