Whakaoti i te a ^ - 1 ( 2 ) = 1000 e ^ - ∫ (from 0 to 2) of ( 003+002r)dr

$$a ^ { - 1 } ( 2 ) = 1000 e ^ { - \int _ { 0 } ^ { 2 } ( 003 + 002 r ) d r }$$

Whakaoti mō a

$$a=\frac{1}{500}=0.002$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Mahia ngā whakarea.

$$a^{-1}\times 2=1000e^{-\int _{0}^{2}0\times 3+0\times 2r\mathrm{d}r}$$

Whakareatia te 0 ki te 3, ka 0.

$$a^{-1}\times 2=1000e^{-\int _{0}^{2}0+0\times 2r\mathrm{d}r}$$

Whakareatia te 0 ki te 2, ka 0.

$$a^{-1}\times 2=1000e^{-\int _{0}^{2}0+0r\mathrm{d}r}$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$a^{-1}\times 2=1000e^{-\int _{0}^{2}0+0\mathrm{d}r}$$

Tāpirihia te 0 ki te 0, ka 0.

$$a^{-1}\times 2=1000e^{-\int _{0}^{2}0\mathrm{d}r}$$

Whakaraupapatia anō ngā kīanga tau.

$$2\times \frac{1}{a}=1000e^{-\int _{0}^{2}0\mathrm{d}r}$$

Tē taea kia ōrite te tāupe a ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te a.

$$2\times 1=1000e^{-\int _{0}^{2}0\mathrm{d}r}a$$

Whakareatia te 2 ki te 1, ka 2.

$$2=1000e^{-\int _{0}^{2}0\mathrm{d}r}a$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$1000e^{-\int _{0}^{2}0\mathrm{d}r}a=2$$

He hanga arowhānui tō te whārite.

$$1000a=2$$

Whakawehea ngā taha e rua ki te 1000.

$$\frac{1000a}{1000}=\frac{2}{1000}$$

Mā te whakawehe ki te 1000 ka wetekia te whakareanga ki te 1000.

$$a=\frac{2}{1000}$$

Whakahekea te hautanga \frac{2}{1000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$a=\frac{1}{500}$$