The same exponential growth function can be written in the forms y() - yo e t, y(t)- yo(1 r, and y) yo2 2. Write k as a function of r, r as a function of T2, and T2 as a function of k Write k as a function of r. k(r)-

Step-by-step explanation:

Given

Solving (a): k(r)

Equate and

Cancel out common terms

Take ln of both sides

Rewrite as:

Divide both sides by t

Hence:

Solving (b): r(T2)

Equate and

Cancel out common terms

Take t th root of both sides

Make r the subject

Hence:

Solving (c): T2(k)

Equate and

Cancel out common terms

Take ln of both sides

Rewrite as:

Divide both sides by t

Cross multiply

Make T2 the subject

Hence:

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step-by-step explanation:

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answer;

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