# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2005 | January | Q#9

Question The gradient of the curve C is given by The point P(1,4) lies on C. a)   Find an equation of the normal to C at P. b)  Find an equation for the curve C in the form . c)   Using , show that there is no point on C which the tangent is […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2005 | January | Q#2

Question Given that , find a.   b.   c.   Find Solution a.   We are given; We are required to find . Rule for differentiation of  is: Rule for differentiation of  is: b.   We are required to find . Second derivative is the derivative of the derivative. If we have derivative of the curve   as  , then  […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2005 | June | Q#7

Question a)   Show that  can be written as . Given that , , and that  at , b)  Find y in terms of x. Solution a)     We are given; We have the algebraic formula; b)   We are required to find y in terms of x, when; We are also given that , and that  at . Clearly it […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2005 | June | Q#2

Question Given that , , a.   Find b.   Find Solution a.   We are given; We are required to find . Rule for differentiation of  is: Rule for differentiation of  is: b.   We are given; We are required to find . Rule for integration of  is: Rule for integration of  is: Rule for integration of  is: