it-is-known-that-after-injecting-the-1-st-dosage-of-a-drug-in-exactly-hours-p-t-Ae-t-24-0-t-8-A-Ae-1-3-e-t-8-24-8-t-24-A-is-the-initial-dosage-at-t-0h

Question Number 144502 by alcohol last updated on 26/Jun/21

i t i s k n o w n t h a t a f t e r i n j e c t i n g t h e 1^{s t}

d o s a g e o f a d r u g i n e x a c t l y h o u r s

p (t) = {\begin{cases} {A e}^{- \frac{t}{24}}, 0 ⩽ t ⩽ 8 \\ (A + {A e}^{- \frac{1}{3}}) e^{- (\frac{t - 8}{24})}, 8 ⩽ t ⩽ 24 \end{cases}

A i s t h e i n i t i a l d o s a g e a t t = 0 h o u r s

a) s h o w t h a t t o w a r d s t h e a p p l i c a t i o n o f

t h e n^{t h} d o s a g e, t h e d o s a g e r e m a i n e d i n b l o o d i s

(\frac{1 - e^{- \frac{1}{n}}}{1 - e^{- \frac{1}{3}}}) \times A

Commented by ArielVyny last updated on 26/Jun/21

p o l y t e c h n i q u e y a o u n d e

u s e t h e e x p r e s s i o n o f g e o m e t r i c s e r i e s

Commented by puissant last updated on 07/Jul/21

yesss