Dw/dt = k(1200 - w)
dw/(1200 - w) = kdt
-ln(1200 - w) = kt + c
When t = 0, w = 60
-ln(1200 - 60) = c
c = -ln(1140)
a.) For k = 0.8: -ln(1200 - w) = 0.8t - ln(1140)
t = [ln(1140) - ln(1200 - w)]/0.8
For k = 0.9:
t = [ln(1140) - ln(1200 - w)]/0.9
For k = 1:
t = [ln(1140) - ln(1200 - w)]
b.) For k = 0.8
t = [ln(1140) - ln(1200 - 800)]/0.8 = [ln(1140) - ln(400)]/0.8 = 1.3 years
For k = 0.9
t = [ln(1140) - ln(400)]/0.9 = 1.16 years
For k = 1
t = [ln(1140) - ln(400)] = 1.05 years
c.) For maximum weight,
dw/dt = 0
k(1200 - w) = 0
1200 - w = 0
w = 1200
Therefore, the maximum weight for each of the model is 1200 pounds.
<u>To purchase one of Miss Austen’s books</u>, one went to Hatchard’s on Piccadilly.
What is infinitive ?
- An infinitive phrase is the infinitive form of a verb including any complements and modifiers.
- It is usually accompanied by the word "to".
- eg. to eat , to play a guitar, to dress quickly
- It is super verbal as it can act as an adjective, a noun or an adverb
Here ,
In the sentence "to purchase" is the infinitive where it is used as adverb.
To learn more about infinitive
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Linking<span> verbs never express action. Instead, they connect the subject of the </span>verb<span> to a noun or an adjective that either renames or describes the noun, pronoun or noun phrase that acts as the subject. From the sentence given, I think there is no linking verb. Hope this helps.</span>
