Find exponential models y_1=Ce^{k_1t} and y_2=C(2)^{k_2t} That pass through the two given points. Compare the values of k_1 and k_2. (If you round your answer, round to four decimal places.) (0,16),(60,frac{1}{4}) y_1=Ce^{k_1t} where C=? and k_1=? y_2=C(2)^{k_2t} where C=? and k_2=?

coexpennan

coexpennan

Answered question

2021-03-06

Find exponential models
y1=Cek1t
and
y2=C(2)k2t
That pass through the two given points. Compare the values of k1 and k2. (If you round your answer, round to four decimal places.)
(0,16),(60,14)
y1=Cek1t where C=?
and k1=?
y2=C(2)k2t where C=?
and k2=?

Answer & Explanation

curwyrm

curwyrm

Skilled2021-03-07Added 87 answers

Given equations are y1=Cek1t
y2=C(2k2t)
They pass through points (0, 16) and (60,14)
now y1=Cek1t,(0,16)
16=Ce0=C
C=16
y1=16ek1t,(60,14)
14=16e60k1
e60k1=164
60k1=ln164=4.158883
k1=4.15888360=0.0693
k1=0.0693
Again
y1=C2k2t,
16=C20=C
C=16
y1=16×2k2t
14=16×260k2
260k2=164=26
60k2=6
k2=660=0.1
k2=0.1
C=16
k1=0.0693
k2=0.1

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?