B5: a) (10] Given the complex numbers z = 1- 21, zz = -1+ 31, 23 = 2+ i, z4 = -2 – 31. ) Plot all these numbers on an Argand diagram. ii) Evaluate 2(z, - z) + 3(2z, + Z,). i) Evaluate (z,) + Z4 . b) [5] By use of De Moivre's Theorem, evaluate (- +)".
B5: a) (10] Given the complex numbers z = 1- 21, zz = -1+ 31, 23 = 2+ i, z4 = -2 – 31. ) Plot all these numbers on an Argand diagram. ii) Evaluate 2(z, - z) + 3(2z, + Z,). i) Evaluate (z,) + Z4 . b) [5] By use of De Moivre's Theorem, evaluate (- +)".
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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Question 5 can you please answer I have attached image below
![ll 48 ?
19:11
32%
A 1-xythos.content.blackboardcdn.com
4 of 4
3
B3:
a) (5] Differentiate from first principles the function f (x) = x? + 2x – 1.
b) (5] A particle is moving in a straight line such that at time t (sec) its acceleration is given by
a(t) = 2t – 1 m/s. Derive a general expression for v(t), the velocity at time t, and the specific
solution for v(0) = -1 m/s.
c) (5] Evaluate
jar-.
-x + 2) dx
B4:
a) (9] Find and classify all critical points of the function
f(x) = x + 3x² – 12x + 5
b) [6) Determine the equation of the tangent line to the graph of
f(x) = 2x² – x + 5
at the point where x = -1.
B5:
a) (10] Given the complex numbers
z, = 1- 2i, z2 = -1+ 3i, z3 = 2 + i, z4 = -2 – 3i.
i) Plot all these numbers on an Argand diagram.
ii) Evaluate 2(z, - 22) + 3(2z3 + Z,).
i) Evaluate (z,z) + z4.
b) [5) By use of De Moivre's Theorem, evaluate (-+)".
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f26b7cc-3512-45e1-8db0-344e97e4afeb%2F3a788362-e853-49f7-91c5-f710fd2d5786%2Fn299t5fj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ll 48 ?
19:11
32%
A 1-xythos.content.blackboardcdn.com
4 of 4
3
B3:
a) (5] Differentiate from first principles the function f (x) = x? + 2x – 1.
b) (5] A particle is moving in a straight line such that at time t (sec) its acceleration is given by
a(t) = 2t – 1 m/s. Derive a general expression for v(t), the velocity at time t, and the specific
solution for v(0) = -1 m/s.
c) (5] Evaluate
jar-.
-x + 2) dx
B4:
a) (9] Find and classify all critical points of the function
f(x) = x + 3x² – 12x + 5
b) [6) Determine the equation of the tangent line to the graph of
f(x) = 2x² – x + 5
at the point where x = -1.
B5:
a) (10] Given the complex numbers
z, = 1- 2i, z2 = -1+ 3i, z3 = 2 + i, z4 = -2 – 3i.
i) Plot all these numbers on an Argand diagram.
ii) Evaluate 2(z, - 22) + 3(2z3 + Z,).
i) Evaluate (z,z) + z4.
b) [5) By use of De Moivre's Theorem, evaluate (-+)".
4
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