Page 54 - Math SL HB Sem 2

(b) Calculate the area ofA.
(t)

(c) Find the total area ofthe shaded regions.
(4)
(Total 6 marks)

5. The telocity, v, in m s-l ofa particle moving in a straight line is given by v = e3F2, where I is
the time in seconds.

(a) Find the acceleration ofthe partisle at , = I .

(b) At what value ofl does the particle have a velocity of22.3 m s h

(c) Find the distance travelled in the first second.
(Total 6 marks)

6 t-etf' @)= t2; - 2.

Given that/(-l ) =1, find/(:).
(Total 6 marks)

7. It is given that f(x)dx: s.
J3

i:
(a) Write down 2 f(x)dt.

(b) Find the value of Q; +f@))dx.
J3
(Total 6 mark)

8. The shaded region in the diagram below is bounded by (*) = Ji , , = o, and the x-axis. The
-f
shaded region is revolved around the:-axis through 360'. The votume ofthe solid formed is
0.845r.

tk\

ct
Find the value ofa.
(Total 6 marks)

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