4PM1/01R Solution
FPM(2023) January Paper 01R Q10 and solution
Problem and Solution We use the trigonometric formulae for $ \cos(A - B) $ and $ \cos(A + B) $…
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 = …
The curve $C$ passes through the points with coordinates $(a, 0)$, $(-1, 0)$, $(b, 0)$, and $(0,…
A particle $P$ is moving along the $x$-axis. At time $t$ seconds ($t \geq 0$), the velocity of $…
The curve $C$ has the equation: $ y = \frac{e^{x^2+1}}{x^2 + 1}. $ (a) Show that $ \frac…
The given function is: $ f(x) = 2a x^3 + x^2 - bx + 3a, $ where $a$ and $b$ are integers, an…
Solution Let $O$, $A$, and $B$ be fixed points such that: $$ \overrightarrow{OA} = p\mathbf…
Solution An arithmetic series has: $$ \text{First term: } a = 16, \quad \text{Common differ…
Solution In $\triangle ABC$, we are given the following: $$ \angle BAC = 50^\circ, \quad AB …
Solution We want to rewrite the expression $$ \frac{a - \sqrt{48}}{\sqrt{3} + 1} $$ in th…