Question 5 can you please answer I have attached image below ll 48 ?19:1132%A 1-xythos.content.blackboardcdn.com4 of 43B3: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 bya(t) = 2t – 1 m/s. Derive a general expression for v(t), the velocity at time t, and the specificsolution for v(0) = -1 m/s.c) (5] Evaluatejar-.-x + 2) dxB4:a) (9] Find and classify all critical points of the functionf(x) = x + 3x² – 12x + 5b) [6) Determine the equation of the tangent line to the graph off(x) = 2x² – x + 5at the point where x = -1.B5:a) (10] Given the complex numbersz, = 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

Answered: Image /qna-images/answer/3a788362-e853-49f7-91c5-f710fd2d5786.jpg

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 (- +)".

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

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

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