Media Summary: (a) A proof involving complex numbers solved algebraically and geometrically (b) Finding the maximum difference between the ... Introduction/Question 1: 0:00 Question 2: 24:20 Question 3: 59:46 Question 4: 1:26:19 Question 5: 1:48:18. (a) A nasty trig identity and polynomial with trigonometric roots (b) The limit of a recursive sequence.
Scholarship Calculus 2019 Q5 - Detailed Analysis & Overview
(a) A proof involving complex numbers solved algebraically and geometrically (b) Finding the maximum difference between the ... Introduction/Question 1: 0:00 Question 2: 24:20 Question 3: 59:46 Question 4: 1:26:19 Question 5: 1:48:18. (a) A nasty trig identity and polynomial with trigonometric roots (b) The limit of a recursive sequence. (a) Finding the real part of a complex number involving fractions (b) A sequence and series problem (spherical ball bearings ... (a) Connecting the roots of a polynomial to a trig proof (b)(i) A 3D linear programming problem (b)(ii) Finding the critical path of a ... (a) Verifying the solution of a differential equation (b)(1) A multivariable function and whether its positive or negative (b)(2) Using ...
Functions, inverses, domain, range. Logs. Quadratics. The usual. We did not go over these questions in class - they are quite a lot ... Scholarship Calculus 2020 Q5 (c) NCEA New Zealand Please watch: "Complex Number : Exam type questions " --~-- For ... (a) Finding a gradient using first principles (b) A related rates problem (point travelling around a circle) (c) An optimisation problem ... Proof of the geometric series formula. Important to know this. Nautilus shell - from awful paper - look for part marks! (Recorded with
Locus question, minimum modulus for points in locus.