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Pilihan Topik Matematika - at ee-cafe.org

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y<br />

5<br />

A<br />

4<br />

3<br />

y = Ae<br />

1<br />

y<br />

2<br />

−t<br />

/ τ<br />

1<br />

= Ae<br />

−t<br />

/ τ<br />

y = A e<br />

2<br />

−t<br />

/ τ1 −t<br />

/ τ2<br />

( − e )<br />

2<br />

1<br />

0<br />

0 1 2 3 4 t/τ 5<br />

Gb.8.4. Kurva gabungan dua fungsi eksponensial.<br />

Soal-Soal<br />

1. Gambarkan dan tentukan persamaan kurva fungsi eksponensial<br />

yang muncul pada x = 0 dan konstanta τ , berikut ini :<br />

a). y a = amplitudo 5, τ = 2.<br />

b). y b = amplitudo 10, τ = 2.<br />

c). y c = amplitudo −5, τ = 4.<br />

2. Dari fungsi pada soal 10, gambarkanlah bentuk kurva fungsi<br />

berikut.<br />

a). y<br />

c). y<br />

d<br />

b). y<br />

e<br />

f<br />

= y<br />

= y<br />

a<br />

a<br />

= y<br />

a<br />

+ y<br />

+ y<br />

b<br />

c<br />

+ y<br />

b<br />

+ y<br />

c<br />

3. Gambarkanlah bentuk kurva fungsi berikut.<br />

a).<br />

b).<br />

−0,5x<br />

10{ 1−<br />

e }<br />

−0,2x<br />

{ 10 − 5e<br />

}<br />

y1 =<br />

u(<br />

x)<br />

y2 =<br />

u(<br />

x)<br />

101

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