Multiple Choice Answers? (1 Viewer)

[tommo727]

What did everyone do for multi choice?

 

[InteGrand]

Here's what I got based on skimming through them:

 

[samcalamos]

Isn't 5: A since a rotation by -i is a rotation pi/4 clockwise?

 

[tommo727]

Can you explain 7? And I thought 2 was A. Agree with the rest

 

[InteGrand]

Isn't 5: A since a rotation by -i is a rotation pi/4 clockwise?

Well -i is cis(-pi/2), so it rotates by pi/2 clockwise.

 

[JAMLO]

Isn't 5: A since a rotation by -i is a rotation pi/4 clockwise?

No B is correct because if you rationalise the complex number given you get -i which is a rotation of 90 degrees towards the right, hence clockwise. Hence B is correct

 

[samcalamos]

Feels when you thought pi/4 was 90 degrees hahaha oh god...

 

[InteGrand]

Can you explain 7? And I thought 2 was A. Agree with the rest

For Question 2, option (A) doesn't satisfy p'(1) = 0. Remember, to be a multiple root, we also need p'(1) = 0.

For Question 7, it's based on the following result (should be in at least one of the textbooks, maybe Arnold and Arnold?):

 

[tommo727]

Correct me if I'm wrong but I am pretty sure for A P'(1) = 0 and for C P'(1) = 1

 

[InteGrand]

Correct me if I'm wrong but I am pretty sure for A P'(1) = 0 and for C P'(1) = 1

Remember, the constant terms disappear when we differentiate.

 

[tommo727]

God damn it you're right. Another -1