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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 & Trigonometry with Analytic Geometry
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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Can you please answer question 3 I have attached image below
| 48 ? 19:52 27% O rn-eu-central-1-prod-fleet01-xythos.content.blackboardcdn.com 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
Transcribed Image Text:| 48 ? 19:52 27% O rn-eu-central-1-prod-fleet01-xythos.content.blackboardcdn.com 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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