2013年11月IB数学SL真题下载-Paper2
1.
2.Let f (x) = (x −1)(x − 4) .
(a) Find the x-intercepts of the graph of f .
(b) The region enclosed by the graph of f and the x-axis is rotated 360° about the x-axis.Find the volume of the solid formed.
3.Let f(x) =3√x4-1/2.
(a) Find f ′(x) .
(b) Find ∫ f (x)dx .
4.Two events A and B are such that P(A) = 0.2 and P(A∪B) = 0.5 .
(a) Given that A and B are mutually exclusive, find P(B) .
(b) Given that A and B are independent, find P(B) .
5.A particle moves along a straight line such that its velocity, vms−1 , is given by v (t) =10te−1.7t , for t ≥ 0 .
(a) On the grid below, sketch the graph of v , for 0 ≤ t ≤ 4 .
(b) Find the distance travelled by the particle in the first three seconds.
(c) Find the velocity of the particle when its acceleration is zero.
6.The time taken for a student to complete a task is normally distributed with a mean of 20 minutes and a standard deviation of 1.25 minutes.
(a) A student is selected at random. Find the probability that the student completes the task in less than 21.8 minutes.
(b) The probability that a student takes between k and 21.8 minutes is 0.3. Find the value of k .
2013年11月IB数学SL真题余下省略！
你可能还关注