FPM(2023) January Paper 02R Q11 and solution
Question 11 Figure 4 shows an open container in the shape of a cylinder with radius $r \ma…
Question 11 Figure 4 shows an open container in the shape of a cylinder with radius $r \ma…
Question 10 (a) Show that $\frac{9^{3 y}}{243}=3^{(6 y-5)}$ (4) (b) Solve the simultaneous …
Question 9 A geometric series $G$ has common ratio $r$ where $r \gt 0$ The third term of…
Question 8 The quadratic equation $3 x^2-k x-1=0$, where $k$ is a positive integer, has roots …
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 $r$ …
Question 5 Question 5 The line $l$ with gradient $-…
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^…
Question 2 Question 2 Find the set of values of $x$ for which …