6) Complete the following equations A) Determine whether the following statement is true or false. The complex number z=a+bi is in polar form. Choose the correct answer below. a) The statement is true because the polar form of a complex number is z=a+bi, where a and b are real numbers. b) The statement is false because the polar form of the complex number z=a+bi is z=ai+bi. c) The statement is false because the complex number z=a+bi is in rectangular form. d) The statement is true because the polar form of a complex number requires the two real numbers and the imaginary unit i. B) Write the complex number in polar form. Express the argument θ in degrees, with 0≤θ<360°. -3+3\sqrt(3)i
6) Complete the following equations A) Determine whether the following statement is true or false. The complex number z=a+bi is in polar form. Choose the correct answer below. a) The statement is true because the polar form of a complex number is z=a+bi, where a and b are real numbers. b) The statement is false because the polar form of the complex number z=a+bi is z=ai+bi. c) The statement is false because the complex number z=a+bi is in rectangular form. d) The statement is true because the polar form of a complex number requires the two real numbers and the imaginary unit i. B) Write the complex number in polar form. Express the argument θ in degrees, with 0≤θ<360°. -3+3\sqrt(3)i
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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6) Complete the following equations
A) Determine whether the following statement is true or false.
The complex number z=a+bi is in polar form.
Choose the correct answer below.
a) The statement is true because the polar form of a complex number is z=a+bi, where a and b are real numbers.
b) The statement is false because the polar form of the complex number
d) The statement is true because the polar form of a complex number requires the two real numbers and the imaginary unit i.
B) Write the complex number in polar form. Express the argument θ in degrees, with 0≤θ<360°.
Choose the correct answer below.
a) The statement is true because the polar form of a complex number is z=a+bi, where a and b are real numbers.
b) The statement is false because the polar form of the complex number
z=a+bi is z=ai+bi.
c) The statement is false because the complex number z=a+bi is in rectangular form.d) The statement is true because the polar form of a complex number requires the two real numbers and the imaginary unit i.
B) Write the complex number in polar form. Express the argument θ in degrees, with 0≤θ<360°.
-3+3\sqrt(3)i
-3+3\sqrt(3)i = ____ (cos ___° + i sin ___°)
C) The rectangular coordinates of a point are given. Find polar coordinates of the point such that r>0 and 0≤θ<2π.
(5, -5)
The polar coordinates are ____. (Simplify your answer, including any radicals. Type an ordered pair. Type an exact answer, using π as needed. Use integers or fractions for any numbers in the expression.)
-3+3\sqrt(3)i = ____ (cos ___° + i sin ___°)
C) The rectangular coordinates of a point are given. Find polar coordinates of the point such that r>0 and 0≤θ<2π.
(5, -5)
The polar coordinates are ____. (Simplify your answer, including any radicals. Type an ordered pair. Type an exact answer, using π as needed. Use integers or fractions for any numbers in the expression.)
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