FPM(2023) June Paper 02 Question 7/8/9 and solution
Question 7 (a) Expand $\left(1+\frac{x}{3}\right)^{-3}$ in ascending powers of $x$ up to and inc…
Question 7 (a) Expand $\left(1+\frac{x}{3}\right)^{-3}$ in ascending powers of $x$ up to and inc…
Question 4 The curve $S$ with equation $y=\frac{x^2}{4}+2$ where $x \geqslant 0$ and the line $l$…
Question 1 Given that $\frac{a+2 \sqrt{5}}{3-\sqrt{5}}=\frac{11+b \sqrt{5}}{2}$ where $a$ is an i…
Question 9 Trigonometry Solution Problem: (a) Using formulae, show that…
Question 7 Small Change Approximation Problem: The equation of a cu…
Question 5 Cuboid Optimization Problem: A solid cuboid has width $…
Question 3 Graphical Solution Solution: The graph of the funct…
Question 1 Summation Solution Solution (a) Show that $ \sum_{r=1}^n (…
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 …