Understanding Scholarship Calculus 2016 Q3

Exploring Scholarship Calculus 2016 Q3 reveals several interesting facts. (a) A sneaky integration by parts problem (b) Solving a non-separable differential equation with the use a few hints.

Key Takeaways about Scholarship Calculus 2016 Q3

  • (a) Finding the centre of gravity a road with varying density (b)(1) Finding the maximum value of a function formed by a family of ...
  • (a) Finding the angle between the asymptotes of a hyperbola (b) Proving the product of the lengths of two lines is a constant (c) ...
  • (a) Integration by substitution (b) An integration problem in an economics context (the Lorenz curve) (c) A differential equation ...
  • (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 ...
  • Proof using product rule and trig function. Optimisation - rugby goal posts. Best place to kick ball. Hardest problem in

Detailed Analysis of Scholarship Calculus 2016 Q3

Implicit differentiation and integration by parts. (a) Proving a trig identity by using De Moivre's Theorem (b) An arithmetic sequence involving logs and trig (c) A gargantuan trig ... (a) Differentiating y=x^x^x using logs (b) Finding a pattern for an nth derivative and linear combinations of trig functions (c) ...

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