1. The diagram above shows a sketch of the curve c with the equation.
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1. The diagram above shows a sketch of the curve C with the equation . (a) Find the coordinates of the point where C crosses the y-axis.
(b) Show that C crosses the x-axis at x = 2 and find the x-coordinate of the other point where C crosses the x-axis. (3) (c) Find . (3) (d) Hence find the exact coordinates of the turning points of C. (5) (Total 12 marks) 2. (a) By writing sec x as show that = sec x tan x. (3) Given that y = e2x sec 3x, (b) find
The curve with equation y = e2x sec 3x, – has a minimum turning point at (a, b). (c) Find the values of the constants a and b, giving your answers to 3 significant figures.
y = x2ex. (a) Find , using the product rule for differentiation. (3) (b) Hence find the coordinates of the turning points of C. (3) (c) Find (2) (d) Determine the nature of each turning point of the curve C. Directory: uploads uploads -> Necessity of ending the economic, commercial and financial blockade imposed by the United States of America against Cuba uploads -> Raíces y Sueños: the Artistry of Cuba Call for Art – Exhibit Application uploads -> Why did democracy develop in Britain after 1850? Introduction uploads -> Draft land restitution policy uploads -> Chapter 10: a new civilization emerges in western europe uploads -> Landmark Supreme Court Cases uploads -> Civil Rights Movement Unit Summary uploads -> Lesson plan template Download 0.61 Mb. Share with your friends:
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