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Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | January | Q#9

Hits: 21 Question A company offers two salary schemes for a 10-year period, Year 1 to Year 10 inclusive. Scheme 1: Salary in Year 1 is £P. Salary increases by £(2T) each year, forming an arithmetic sequence. Scheme 2: Salary in Year 1 is £(P+1800). Salary increases by £T each year, forming an arithmetic sequence. a.   Show that the total […]

Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | January | Q#8

Hits: 11 Question The curve  has equation a.   Find . b.   Sketch , showing the coordinates of the points where C1 meets the x-axis. c.   Find the gradient of  at each point where C1 meets the x-axis. The curve  has equation where k is a constant and . d.   Sketch , showing the coordinates of the points where […]

Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | January | Q#1

Hits: 2 Question Given that , , find, in their simplest form, a.   b.   . Solution a.   We are given; We are required to find . Gradient (slope) of the curve is the derivative of equation of the curve. Hence gradient of curve  with respect to  is: Therefore; Rule for differentiation is of  is: Rule for differentiation is […]