FPM(2023) January Paper 02 que 11 and solution
Problem Statement The curve $C$ has the equation: $$ y = 4 - e^{2x} …
Problem Statement The curve $C$ has the equation: $$ y = 4 - e^{2x} …
Problem Statement (a) Show that: (i) $ \sin 2\theta = 2\sin\theta\cos\theta $ …
Problem Statement A cube has edges of length $x$ cm. The total surface area, $…
Solution We are given the quadratic equation: $$ x^2 - 4k\sqrt{2}\,x…
Solution Given the function: $$ y = e^{2x} \cos 2x $$ we are …
Solution The first three terms of the geometric series $G$ are: $$ U_1 = q(4p + 1), \quad U_…
Solution We are given a right pyramid with a square base $ABCD$, vertex $E$, and the followin…
Solution The equation of the curve is: $$ y = x^3 \sin x $$ Step 1: Differentiate $y$ to f…
Solution The given function is: $$ f(x) = 8x^2 + 10x - 3 $$ (a) Write $f(x)$ in the form $…
Solution We are given: $$ XY = (x + 2)\,\text{cm}, \quad XZ = (2x + 4)\,\text{cm}, \quad YZ …