FPM(2023) January Paper 02R Q8 and solution
Problem and Solution The quadratic equation is $$ 3x^2 - kx - 1 = 0 $$ with roots $$ \alpha \…
Problem and Solution The quadratic equation is $$ 3x^2 - kx - 1 = 0 $$ with roots $$ \alpha \…
Problem and Solution We are given a curve $S$ with the equation $$ y = x^2 + 2 $$ and a fini…
Problem and Solution We are given a sector $OAB$ of a circle with center $O$ and radius $r$ …
Problem and Solution We are given a line $l$ with gradient $$ -\frac{1}{12} $$ that passes …
Problem and Solution We are given the equation of the curve $C$ as $$ y = \frac{2x + q}{x …
Problem and Solution Given that $$ y = e^{3x} \sin 2x $$ show that $$ 13y + \frac{d^2 y}{dx^…
Problem and Solution Find the set of values of $x$ for which: $3x - 8 \lt 5x + 3$ …
Problem and Solution Part (a): Expand $ \left( 1 + \frac{x}{4} \right)^8 $ in ascending powers…
Problem and Solution We use the trigonometric formulae for $ \cos(A - B) $ and $ \cos(A + B) $…
The right pyramid $OABCD$ has a square base $ABCD$ with side length 12 cm. The edges $OA = OB = …