Complete the below description of the position of these 7 complex numbers on the complex plane: The numbers are (Click for List) around the (Click for List) v of a (Click for List) with centre (Click for List) v and (Click for List) v (Click for List) v It is (Click for List) that one of the points lies on the positive real axis. (b) Sonny wants to know more about the polynomial p(z) = (z - 2)(z- z5). %3D Select ALL the statements below which are true: O The coefficients of p(z) are all purely imaginary. O The coefficients of p(z) are all complex. O The coefficients of p(z) are all real.

Complete the below description of the position of these 7 complex numbers on the complex plane: The numbers are (Click for List) around the (Click for List) v of a (Click for List) with centre (Click for List) v and (Click for List) v (Click for List) v It is (Click for List) that one of the points lies on the positive real axis. (b) Sonny wants to know more about the polynomial p(z) = (z - 2)(z- z5). %3D Select ALL the statements below which are true: O The coefficients of p(z) are all purely imaginary. O The coefficients of p(z) are all complex. O The coefficients of p(z) are all real.

Name: b,c please (c)Sonny's favourite polynomial happens to beq(2) = (z – zo
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Description: b,c please (c)Sonny's favourite polynomial happens to beq(2) = (z – zo)*(z – z1)°(z– 2)°(z – 23)"(z – z4)°(z – 25)°(z – z6)*.Lincoln says, "Woah! My favourite real, non-zero polynomial r(z) is divisible by q(z), and in fact it has the smallest degree

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

Topic Video

Question

b,c please

(c)
Sonny's favourite polynomial happens to be
q(2) = (z – zo)*(z – z1)°(z– 2)°(z – 23)"(z – z4)°(z – 25)°(z – z6)*.
Lincoln says, "Woah! My favourite real, non-zero polynomial r(z) is divisible by q(z), and in fact it has the smallest degree possible for a polynomial with
those properties."
What is the degree of r(z)?

Sonny and Lincoln are amazed by the complex numbers z = 4e' (2m k/7) for k = 0,1, 2, ..., 6.
(a)
Complete the below description of the position of these 7 complex numbers on the complex plane:
The numbers are
(Click for List)
around the
(Click for List)
of a
(Click for List)
with centre
(Click for List) v
and
(Click for List) v
(Click for List)
It is
(Click for List) v
that one of the points lies on the positive real axis.
(b)
Sonny wants to know more about the polynomial p(z) = (z – 2)(z – 25).
Select ALL the statements below which are true:
O The coefficients of p(z) are all purely imaginary.
O The coefficients of p(z) are all complex.
The coefficients of p(z) are all real.

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