Media Summary: (a) Finding the equation of a general normal (b) Finding the equation of the normal that leads to the lowest point of intersection (c) ... (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 ...
Scholarship Calculus 2015 Q5 - Detailed Analysis & Overview
(a) Finding the equation of a general normal (b) Finding the equation of the normal that leads to the lowest point of intersection (c) ... (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 ... (a) A nasty trig identity and polynomial with trigonometric roots (b) The limit of a recursive sequence. (a) Proving a trig identity by using De Moivre's Theorem (b) An arithmetic sequence involving logs and trig (c) A gargantuan trig ... (a) A cubic polynomial with complex coefficients and one real solution (b)(i) A geometric proof involving a focal chord and a circle ...
(a) An interesting problem involving the gamma function (b) Solving a degree 6 polynomial given only one of its roots (c) Using ... (a) A surface of revolution (b) Find a differentiable function whose gradient is equal to itself cubed (c) A salt problem (differential ... (a) A system of equations involving logs and exponents (b) The car and statue problem (a tangent question) (c) The spread of a ... Scholarship Calculus 2020 Q5 (c) NCEA New Zealand (a) A proof involving complex numbers solved algebraically and geometrically (b) Finding the maximum difference between the ... (a) Finding the real part of a complex number involving fractions (b) A sequence and series problem (spherical ball bearings ...
