TUISYEN KITA | cgnash
PENCETUS BIJAK MATEMATIK
Bengkel Akhir Mat Tam T5 integration
demo suka matematik, kawe suka matematik, kita suka
matematik
1. The diagram above shows a shaded region bounded by the
curve and the straight line
Find
(a) the coordinates of A,
(b) the area of the shaded region,
(c) the volume of revolution, in terms of , when the region
bounded by the curve, the x-axis and the y-axis, is revolved
through about the y-axis.
[a) , b)1
, c) 12
]
2. Diagram above shows the straight line intercept the curve at
point P and Q.
Find
a) the point P and Q b) the area of shaded region c) volume in
terms of , when the region under the
curve and the x-axis is rotated about x-axis
[
]
3. Diagram below shows part of the curve ) which passes through
point and the straight line
The curve has a gradient function of Find
a) the equation of the curve b) the area of shaded region P c)
the volume of revolution, in terms of , when the
shaded region Q is revolved about the y-axis.
[a)
]
4. The diagram shows part of the curve and the tangent to the
curve at the point
Find
(a) the equation of the tangent at A,
(b) the area of the shaded region
(c) the volume of revolution, in terms of , when the region
bounded by the curve, the x-axis and the y-axis,
is revolved through about the x-axis.
[a)
5. Diagram below shows part of the curve which passes through
point
The curve has gradient function of
.
a) Find the equation of the curve b) A region is bounded by the
curve, x-axis, the line
and the line i) Find the area of the region ii) the region is
revolved through 360o about the x-axis.
Find the volume generated, in terms of .
[a)
6. Diagram 7 shows the straight line PQ and the straight
line intersecting the curve at point Q.
The area of the shaded region is
.
a) Find the value of . b) The region enclosed by the curve, the
straight line
the x-axis and the y-axis, is revolved about the y-axis.
[
]
K2
