Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![Express the following numbers in rectangular form (real and imaginary).
(a) 9 39°= +i
(b) 20 -15° =
(c) 14 2 145° =
(d) 15 2-147° = +1
Find the following expressions. The angle is in degrees and between-180° and +180°.
(a) (27+j (26)) (19 - 104°)=40*
(b) (1 216°) (-19+i (14)) = 40
(c) (-20+) (-17))/(2 159°) =
(d) (12-25%)/(16+) (-30)) =
Write the complex number z=(-1-√3)¹6 in polar form: z=r(cos+ i sin 6) where
r= |and 6 =
The angle should satisfy 0 ≤ 0 <2m.
V
What is the square root of i? (That is, what is Vi?)
OA. -i
OB.-1
Oc. (1+¹)
D. (1 - i)
E. Does not exist
Consider the equation = (1+√31). Find the value of which satisfies this equation and which has
the second smallest positive argument 0,0 <0 < 2. Express your answer as :=re where
T=
and 8=
6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a7c3065-d194-4b1a-b6b9-3b8c08c1693f%2F09c69282-cfc6-49c3-ac1f-216d3af9bb17%2Fl2a1eqc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Express the following numbers in rectangular form (real and imaginary).
(a) 9 39°= +i
(b) 20 -15° =
(c) 14 2 145° =
(d) 15 2-147° = +1
Find the following expressions. The angle is in degrees and between-180° and +180°.
(a) (27+j (26)) (19 - 104°)=40*
(b) (1 216°) (-19+i (14)) = 40
(c) (-20+) (-17))/(2 159°) =
(d) (12-25%)/(16+) (-30)) =
Write the complex number z=(-1-√3)¹6 in polar form: z=r(cos+ i sin 6) where
r= |and 6 =
The angle should satisfy 0 ≤ 0 <2m.
V
What is the square root of i? (That is, what is Vi?)
OA. -i
OB.-1
Oc. (1+¹)
D. (1 - i)
E. Does not exist
Consider the equation = (1+√31). Find the value of which satisfies this equation and which has
the second smallest positive argument 0,0 <0 < 2. Express your answer as :=re where
T=
and 8=
6
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