Daftar Hasil Penyelesaian

Senin, 28 Januari 2013

Bukti:

Misal E terhitung, maka
$E=\left \{ c_{1},c_{2},...,c_{k} \right \}$

pilih
$I_{k}=(c_{k}-\frac{\varepsilon }{2^{k}},c_{k}+\frac{\varepsilon }{2^{k}})$
jelas bahwa
${c_{k}}\subset I_{k}$
$\cup c_{k}=E\subset \cup I_{k}$
$\sum_{k=1}^{\infty}l(I_{k})=\sum_{k=1}^{\infty}\frac{\varepsilon }{2^{k-1}}< 2\varepsilon$
sehingga
$0\leq m(A)\leq 2\varepsilon$
$m(A)=0$
terbukti

Bukti:
Diketahui A={1}
Akan dibuktikan m(A)
pilih
$I_{k}=\left ( 1-\frac{\varepsilon }{2^{k}}, 1+\frac{\varepsilon }{2^{k}} \right )$ untuk setiap $\varepsilon >0$
maka
$\sum_{k=1}^{\infty}l(l)=\sum_{k=1}^{\infty}\frac{\epsilon}{2^{k-1}}=\sum_{k=1}^{\infty}\left ( \frac{1}{2} \right )^{k-1}<2\varepsilon$
sehingga
$0\leq \sum_{k=1}^{\infty}l(l_{k})\leq 2\varepsilon$
$0\leq Inf \left (\sum_{k=1}^{\infty}l(l_{k}) \right )\leq 2\varepsilon$
$0\leq m(A)\leq 2\varepsilon$
$m(A)=0$
terbukti
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Senin, 30 April 2012

Kunci Jawaban TO Matematika

Try Out Matematika Dasar

Try Out 1 Matematika Dasar
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Try Out Matematika IPA

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Minggu, 29 April 2012

Kunci Jawaban PS 2 Matematika IPA

1	D	11	B	21	D
2	A	12	D	22	E
3	C	13	D	23	C
4	E	14	C	24	C
5	D	15	E	25	C
6	C	16	B	26	C
7	C	17	C	27	E
8	C	18	C	28	D
9	C	19	D	29	D
10	C	20	D	30	B

CATATAN:
Jika terjadi salah penulisan kunci jawaban silahkan kirimkan kritik dan saran ke sini

Problem Set 2 Matematika Dasar

1	A	11	D	21	B
2	B	12	B	22	B
3	B	13	E	23	A
4	C	14	D	24	A
5	E	15	D	25	C
6	B	16	C	26	D
7	B	17	A	27	B
8	B	18	A	28	B
9	C	19	D	29	D
10	D	20	A	30	A

1	D	11	B	21	D
2	A	12	D	22	E
3	C	13	D	23	C
4	E	14	C	24	C
5	D	15	E	25	C
6	C	16	B	26	C
7	C	17	C	27	E
8	C	18	C	28	D
9	C	19	D	29	D
10	C	20	D	30	B

1	A	11	D	21	B
2	B	12	B	22	B
3	B	13	E	23	A
4	C	14	D	24	A
5	E	15	D	25	C
6	B	16	C	26	D
7	B	17	A	27	B
8	B	18	A	28	B
9	C	19	D	29	D
10	D	20	A	30	A

1	D	11	B	21	D
2	A	12	D	22	E
3	C	13	D	23	C
4	E	14	C	24	C
5	D	15	E	25	C
6	C	16	B	26	C
7	C	17	C	27	E
8	C	18	C	28	D
9	C	19	D	29	D
10	C	20	D	30	B

1	A	11	D	21	B
2	B	12	B	22	B
3	B	13	E	23	A
4	C	14	D	24	A
5	E	15	D	25	C
6	B	16	C	26	D
7	B	17	A	27	B
8	B	18	A	28	B
9	C	19	D	29	D
10	D	20	A	30	A

1	D	11	B	21	D
2	A	12	D	22	E
3	C	13	D	23	C
4	E	14	C	24	C
5	D	15	E	25	C
6	C	16	B	26	C
7	C	17	C	27	E
8	C	18	C	28	D
9	C	19	D	29	D
10	C	20	D	30	B

1	A	11	D	21	B
2	B	12	B	22	B
3	B	13	E	23	A
4	C	14	D	24	A
5	E	15	D	25	C
6	B	16	C	26	D
7	B	17	A	27	B
8	B	18	A	28	B
9	C	19	D	29	D
10	D	20	A	30	A