Hits: 88

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2009 | June | Q#11

Hits: 88   Question The curve C has equation The point P has coordinates (2, 7). a)   Show that P lies on C. b)  Find the equation of the tangent to C at P, giving your answer in the form y=mx+c, where m and c  are constants. The point Q also lies on C. Given that the […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2009 | June | Q#9

Hits: 54   Question  , x>0 a)   Show that , where A and B are constants to be found. b)  Find c)   Evaluate . Solution a)     We are given; Utilizing algebraic identity; b)   We are given; We are required to find . We can write the given equation/function as; Gradient (slope) of the curve is the […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2009 | June | Q#3

Hits: 13   Question Given that  , , find a.   b.  , simplifying each term. 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 […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2009 | January | Q#11

Hits: 69 Question The curve C has equation , The point P on C has x-coordinate equal to 2. a.   Show that the equation of the tangent to C at the point P is y = 1 – 2x. b.   Find an equation of the normal to C at the point P. The tangent at P […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2009 | January | Q#6

Hits: 10   Question Given that  can be written in the form 2xp – xq, a.   Write down the value of p and the value of q. Given that , b.   find , simplifying the coefficient of each term. Solution a.   We are given that; Hence, p=3/2 while q=1. b.     We are given […]