1970-05-17 — Page 14

頁二第張四第日三十月四年戌庚歷夏 WAH KIU YAT PO

英中會考附加數學(一)答案

堅道英文書院撰答

When a

L.B.S.

H.K. Certificate of Education (English) 1970

Additional Mathemation

Paper I

SOLUTION:

Section A

1. Given that sos

Sin - 216

Angular speed

f

√2x + 1 (<x + 1)3/2

3/2

(2x + 1) 3/2

郭日僑華

日期星:日七十月五年〇七九一曆公年九十五國民華中 育教僑華

By the principle of Math. induction the proposition is true for all natural: number

Lon E-

sin(180 + 36 53*).

52

27 radian = 90 - 4.1886 radian

per ht.

$2208.8

In the bitter case, interest is $7.4 more or

more to the nearest dollar.

a) (1) 63

- 20 different circles

(11) [1 A, B, C, D are collinear there are

43 or 4 circles losing

No. of different, pirolen 204 16. (111) When A,B,C,5 are concyclis there are

4°3 - 1 - 3 more circles losing. No. of different circles 16 - 3

5) No of point of intersection an

links

The parallelograms are

44431]

1.4 (One place of decimal)

When produse the graph will out the x-axis at (-2,50) (i) when

(11) when x

-2 OX

b

2. (Anewer)

-2 (Answer)

If the step (1) is not used you can substitute the valus 1 - 2 and y = 2 into x +

together with (ii) solve for a and b,

solve one drawn for

If the graphs of sinx" and coax

between -180 and 360, it can be seen from the graph that the graphs of the two fuations will

and

The position of P is determined by the distance

of P from the origin i.a. OP, and the angle of OP from the North 1.8. -b.

Let P

P

123, be the position of P at

first four minutes in order

OP

So the number

of solutions for the equation cosx

for I

out at three points in that range.

in the given range is three.

taking the positive FOOD

BP, oot59 - 1000 x 0.6 - 600

2000 z cot55 - 1400!

3000 cot48 2700 4000 cot40°

4800

The question aska for the horizontal distance travelled by the balloon in the third minute. According to the meaning given by the question" the answer is zero, for the third minute is only a point on a line which we specify time, 1.0.

4242

The number of parallelograms in the first bracket is n, in the second bracket is n-l in the third a – 2, and in the nth one. The total no. of diff. parallelograms arī

(x − 1) + (x − 2) + ....ocze + 2 n(n + 1).

2= √

-

(b) - 27,

器

-0, and the corresponding y is t

The turning points are -2), and (0,

(4 +x

order to have a maxinA LEI

must be negative.

12.

tine's And the time interval of a mathematical point is zero on that line.

If the distance travelled between the second ainute and the third minute is required (as it i0 likely that it is the original beaning of the question) the distance between P2 and P is measured along the curve, The distance is approzisatley 1200 reat

negativa or y

Thare the point is yogative

Kaximum number of way of choosing 11 player ITOM

4 players i

When two particular players are to be chosen,

choosing will be 9 players out of the other 12 players.

The number of way 10

The probability is the 12 9

동극

Distance of the ship from

20

the harbour in 03-

sin10

Bin OB/

ЗАО

ecreased, L is decreased.

- 3) = 0.1%

-0.05% (decrease) -3/2

(o) an

is increased T is decreased

28

27

0.2%

dg

Bin OBA sin 10 x 20

ave up are the

inorement of v and p respectively

OBL

0.8944

43.591

BAO

180

-10°

126°11

Tinh Bao sin 10°

sea Milos

20

cub10 inches per second

.13 on.in:/s

The volume decrease by 2,13

488. 211OB

sin126 1 5X

ain100 23.29 Bea miles direction of the further 5 miles in N8" Compound interest at 1% each month;

20 $10,000(1 +1%)2 $10,000

x 0.28 - -0.1% (decreased)

(e) Total percentage charge of period - percentage change by varying g + percentage change by *anging

.05% +

-0.1

Tin decreased by 0.15%;

Volume of thủ địch = total volume obtained by

- total volume obtained by rotating BAG along OX rotating QPR al ΟΙ

-

along

Tydr

ول

The limits of the second integral is from 0 to 9 because the curve takes P as the origin)

10.

\ (1) for

L.H.S.

R.H.

(1)

$10,000(1 + 20

20 19

20

100

$2201,4

(11) Assume the proposition 18 trum for a ****

Compound interest at 23% each. Two mon

610,000(1 – 2%)10 – $10,000

$10,000(1

10: 100

2

2

100

$10.000

•πf 1601 dr

quire

10.9

SLU,UDU

'80 x 14

19

80 7

-ou. It

0.25 ton x 19 1 807

380π ton❤

1195 tons to nearest 5 tons)