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[CIE] All Pure Mathematics (P1, P2 and P3) doubts here !

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astarmathsandphysics:
here

ashwinkandel:
Q.
(i)  Sketch the curve y = 2 sin x for 0 <= x <= 2pi. [1]
(ii) By adding  a suitable  straight  line  to your  sketch,  determine  the  number  of real  
      roots  of the equation
       2pi sin x = pi- x.
     State the equation  of the straight line. [3]

Arthur Bon Zavi:

--- Quote from: ashwinkandel on October 10, 2011, 04:52:51 pm ---Q.
(i)  Sketch the curve y = 2 sin x for 0 <= x <= 2pi. [1]
(ii) By adding  a suitable  straight  line  to your  sketch,  determine  the  number  of real  
      roots  of the equation
       2pi sin x = pi- x.
     State the equation  of the straight line. [3]


--- End quote ---

What are the question marks ? Simply give year and the session.

Sea Lover:
guys I need someone to explain to me this question ,it's in ocober /november 2010  varient 2 question 7(iii).
The function f is defined by
f(x) = x^2 ? 4x + 7 for x > 2.
The function g is defined by
g(x) = x ? 2 for x > 2.
The function h is such that f = hg and the domain of h is x > 0.
(iii) Obtain an expression for h(x).


In the markscheme the answer is x^2 +3, can someon explain it to me and how to get it?

astarmathsandphysics:
f(x) = x^2 ? 4x + 7 for x > 2.

what does the question mark mean

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