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**Test 1 / Re: 2020TT1 Deferred Sitting #1**

« **on:**October 14, 2020, 09:58:17 PM »

Oh okay that makes sense thank you so much!

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Oh okay that makes sense thank you so much!

2

Thank you! How do we know the period is pi?

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In the last line of a) why do we add pi*m (as opposed to 2pi*m)?

How do we find the values in b) ?

How do we find the values in b) ?

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Okay makes sense, thank you!

5

Ok if it has a typo then that makes sense, thank you!

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This is how I got the answer, hope this helps!

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When I solve the equation w^2+w+1=0, I got two complex roots instead of two real roots. Is there an i missing from the value of w?

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Without actually expanding the numerator and denominator, you can see that they would have the same degree (5) and so the limit is the leading coefficient of the numerator (1) divided by the leading coefficient of the denominator (3), so 1/3.

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How did we get from the second last to last line, in particular the calculation with (2n)! and (2n+2)! (See attachment)

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When we have are asked to find the locus of |z-p|=|z-q|, can we immediately say the perpendicular bisector of the line segment joining p and q, or must we plug in z=x+iy and solve to get x=0?

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Suppose we want to solve for z=a+ib in an equation of the form z^n=w. After we find z in exponential representation, I am unsure of how to convert to z=a+ib form if theta is not one of the "special angles" we know the sin and cos of? Should we write z=rcos(theta)+i(rsin(theta)) without evaulating sin(theta) and cos(theta)?

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