2013年11月IB数学SL真题下载-Paper1
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3.The following is a cumulative frequency diagram for the time t , in minutes, taken by 80 students to complete a task.
(a) Find the number of students who completed the task in less than 45 minutes.
(b) Find the number of students who took between 35 and 45 minutes to complete the task.
(c) Given that 50 students take less than k minutes to complete the task, find the value of k .
4.Consider a function f (x) such that ∫61 f(x)dx = 8 .
(a) Find ∫612f(x)dx .
(b) Find ∫61(f(x) + 2dx .
5.Let f(x)=sin(x+π/4)+k. The graph of f passes through the point(π/4,6).
(a) Find the value of k .
(b) Find the minimum value of f(x) .
Let g(x) = sin x . The graph of g is translated to the graph of f by the vector(pq).
(c) Write down the value of p and of q .
6.Let f (x) = e2x . The line L is the tangent to the curve of f at (1, e2 ) .
Find the equation of L in the form y = ax + b .
2013年11月IB数学SL真题余下省略!
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