2010年5月IB数学SL真题下载-Paper2

2010年5月IB数学SL真题下载-Paper2

1.

(a) Write down A−1 .

(b) Solve AX = B .

 

2.Consider the arithmetic sequence 3, 9, 15, ........., 1353 .

(a) Write down the common difference. 

(b) Find the number of terms in the sequence. 

(c) Find the sum of the sequence.

 

3.Let f (x) = x cos x , for 0 ≤ x ≤ 6 .

(a) Find f'(x).

(b) On the grid below, sketch the graph of y = f'(x) .

4.The following frequency distribution of marks has mean 4.5.

(a) Find the value of x.

(b) Write down the standard deviation.

 

5.The graph of y = p cos qx + r , for −5 ≤ x ≤14 , is shown below.

There is a minimum point at (0, − 3) and a maximum point at (4, 7) .

(a) Find the value of

(i) p ;

(ii) q ;

(iii) r. 

(b) The equation y = k has exactly two solutions. Write down the value of k.

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