Cambridge Maths Academy

수학 모음 (Maths collection) 전체보기 For a function which depends on two variables $(x,y)$, $$ \textrm f = \textrm f(x,y) $$ we find the critical points by considering 2-dimensional gradient and second-order derivatives. (In 1D, the critical points are usually called the stationary points.) (i) Critical points: $$ \begin{align} \nabla \textrm f = \left( \frac{ \partial \textrm f }{ \partial x }, \frac{..

수학 모음 (Maths collection) 전체보기 Question. Misha invests ￡4000 in a bank with a compound interest rate of 3.75% per annum. At the end of each year Misha has to pay 20% tax on the interest made during that year. After 4 years Misha finds a ruby stone valued at 4500. Has he go enough money in the bank to afford to buy the ruby stone? If not, how much more would he need to save? Solution. For GCSE/mid..