Maclaurin Study guides, Class notes & Summaries

IBDP Mathematics: Analysis and Approaches, Higher Level Paper 3 Practice Questions Daniel Hwang Suggestions and corrections are welcome. Updated March 18, 2021 Question number  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 2 5 2 6 Maximum mark  3 1 3 1 2 7 24 31 2 3 2 9 31 2 7 26 2 3 31 29 2 8 23 2 5 30 2 4 23 32 2 4 2 3 29 23 2 7 3 2 Number & algebra Sequences & series x x x x x x x Exponents & logs x x x x x x x ...

IBDP Mathematics: Analysis and Approaches, Higher Level Paper 3 Practice Questions Daniel Hwang Suggestions and corrections are welcome. Updated March 18, 2021 Question number  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 2 5 2 6 Maximum mark  3 1 3 1 2 7 24 31 2 3 2 9 31 2 7 26 2 3 31 29 2 8 23 2 5 30 2 4 23 32 2 4 2 3 29 23 2 7 3 2 Number & algebra Sequences & series x x x x x x x Exponents & logs x x x x x x x ...

(a) The complex number a+ib is denoted by z. (i) Write down z*. [1] (ii) Find Re(iz). [2] (b) The complex number w is given by w = 5+i 3 . 2 -i 3 (i) In this question you must show detailed reasoning. Express w in the form x +iy . [2] (ii) Convert w to modulus-argument form. [2] 2 In this question you must show detailed reasoning. Find the angle between the vector 3i+2j+k and the plane -x+3y+2z = 8. [5] 3 (a) Using partial fractions and the method of differences, show that 1 1 + ...

MATH 1242 4. Find R2 0 FINAL EXAM Spring, 2010 2 xex −1 dx. (a) 2e3 (b) 2(e3 − e−1 ) (c) 1 3 (e − e−1 ) 2 (d) 2e4 (e) e3 − e−1 5. Find R x ln x dx. (a) x2 ln x −1 ln x + C 2 (b) x2 ln x +1 ln x + C 2 (c) ln x + C (d)1 1 2 x ln x − x2 + C 2 4 (e)1 2 1 x ln x + x2 + C 2 4 6. The Maclaurin series (Taylor series centered at a = 0) for f (x) = ex is (a) 1 −x2 x4 x6 + − + ··· 2! 4! 6! (b) 1 +x2 x4 x6 + + + ··· 2! 4! 6! (c) ...

This document contains a summaru of LU 3.3 - 3.4: Radius of convergence, Ordinary and Singular points, Maclaurin series, Taylor series, Taylor's inequality, Binomial series.

Contents 0 Introduction 1 1 Computers, Science, and Engineering 3 1.1 Computing: Historical Note ��������������������������������������������������������������������� 3 1.2 Basics of Symbolic Computing ����������������������������������������������������...

1. Definition of the Com- plex Line integral 2. Complex line integral sum form 3. What is the line inte- gral of f(z) over the curve C by limit form? 4. What is the line inte- gral of f(z) over the curve C by integral form? 5. What is the meaning of complex line in- tegrals consist of fi- nitely many smooth curves? 6. Three basic proper- ties of complex inte- gration 7. What is linearity of in- tegration? 8. What is sense rever- sal property? 1 . C has to be a smooth curve and f(z) h...

8.8.1 Preparation Paper I (May/June 2010) Question 1 Determine the following integrals: 1.1 2 2 sin x x dx  (2) 1.2 2 2 1 n x dx   (5) 1.3 2 9 4 dx  x   (4) 1.4 2 27 6 x dx  x x    (7) [18] Question 2 2.1 Determine the root-mean-square value (RMS) of 2 1 1 y x   between x  0 and x  3 . (8) 2.2 Calculate the volume of the cone generated by revolving the area between y x  2 , the y -axis and the line y  5 abou...

Detailed worked examples demonstrating how to solve Taylor Series, Maclaurin Series and Linear Aproximation problems.

n this comprehensive collection, we delve into the fundamental concepts of calculus, focusing on series and integration. Whether you are a seasoned mathematician or an enthusiastic learner, this text offers a rigorous set of exercises to sharpen your skills and deepen your understanding of calculus. With a careful selection of 180 exercises across various sections, we explore essential topics such as the Disk and Washer Methods, Arc Length, Trigonometric Integrals, and more. Dive into the int...