CIE 9709 2023 June Paper 12 Q1

CIE 9709 2023 June Paper 12 Paper · Question 1

题目

Problem

The equation of a curve is such that $\frac{\mathrm{d}y}{\mathrm{d}x} = \frac{4}{(x - 3)^3}$ for $x > 3$ . The curve passes through the point $(4, 5)$ .

Find the equation of the curve.

[3]

题目中文翻译

一条曲线满足 $\frac{\mathrm{d}y}{\mathrm{d}x} = \frac{4}{(x - 3)^3}$ ，其中 $x > 3$ 。该曲线经过点 $(4, 5)$ 。

求该曲线的方程。

[3]