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 3x? х + 2) dx -1
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 3x? х + 2) dx -1
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Can you please answer question 3 I have attached image below
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B3:
a) (5] Differentiate from first principles the function f(x) = x² + 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
(3x² – x + 2) dx
В4:
a) [9] Find and classify all critical points of the function
f (x) = x3 + 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, z = -1 + 3i, zą = 2 + i, z4 = -2 – 3i.
i) Plot all these numbers on an Argand diagram.
ii) Evaluate 2(z, – z2) + 3(2z3 + 74).
iii) Evaluate (z,7z) + z4 .
•(-;+4)".
b) (5] By use of De Moivre's Theorem, evaluate](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f26b7cc-3512-45e1-8db0-344e97e4afeb%2F766433f9-fdc7-43fa-af84-6a9d53fa6938%2Fzdho4m4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:| 48 ?
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4 of 4
B3:
a) (5] Differentiate from first principles the function f(x) = x² + 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
(3x² – x + 2) dx
В4:
a) [9] Find and classify all critical points of the function
f (x) = x3 + 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, z = -1 + 3i, zą = 2 + i, z4 = -2 – 3i.
i) Plot all these numbers on an Argand diagram.
ii) Evaluate 2(z, – z2) + 3(2z3 + 74).
iii) Evaluate (z,7z) + z4 .
•(-;+4)".
b) (5] By use of De Moivre's Theorem, evaluate
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