tutorial 3a mte 3108
TRANSCRIPT
MTE3108
TAJUK : PEMBEZAANTutorial 3A
BAHAGIAN A
1. Cari pembezaan bagi y = (x2 + 2x + 5)6 .
(A) (x + 1)(x2 + 2x + 5)6
(B) 2(x + 1)(x2 + 2x + 5)5
(C) 12(x + 1)(x2 + 2x + 5)5
(D) (x + 1)(x2 + 2x + 5)4
2. Diberi h(x) = (x +1)(x2 - 2) , cari nilai h’ (2) ,
(A) 14
(B) 12
(C) 8
(D) - 6
3. Cari pembezaan peringkat pertama bagi g(x) = 4 sin x - 5 cos x + x .
(A) 4 cos x + 5 sin x
(B) 4 cos x + 5 sin x + 1
(C) 4 cos x – 5 sin x + 1
(D) - 4 cos x + 5 sin x + 1
4. Cari pembezaan peringkat ke dua bagi f(x) = .
(A)
(B)
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(C)
(D) -
5. Cari persamaan garis tangen bagi graf fungsi f(x) = 2 sin x pada x = .
(A) y = x -
(B) 6x – 3y =
(C) 3x – 3y =
(D) 3 x – 3y = - 3
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BAHAGIAN B
1 As a balloon in the shape of a sphere is being blown up, the volume is
increasing at the rate of 4 cubic centimeters per second. At what rate is
the radius increasing when the radius is 1 cm?
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2. By using the definition of derivative, find the derivative with respect to
x of f (x) = 1 - x2 . Hence find the equation of tangent to y = 1 – x2
at the point ( 2, - 3 )
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3. The cost and revenue functions for the production of x units of a certain
commodity are C (x) = 4x + 1400 and
R(x) = 20x -
( a ) Show that the profit function is given by P(x) = 16x – 1400 -
and the two break even points are 100 and 700.
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( b ) Find the marginal profit and determine the production level at
which the profit is maximum.
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4. Diberi , tunjukkan
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5. (a) Cari persamaan tangen T, bagi lengkungan , dan berserenjang dengan garis L iaitu .
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(b) Cari koordinat-koordinat titik di mana T bertemu L.
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