Question 1The function N(t)=15tsqrt{t^{2}+1}+2000 denotes the number of members of a club t months after the club's opening.

midtlinjeg

midtlinjeg

Answered question

2021-01-22

Question 1
The function N(t)=15tt2+1+2000 denotes the number of members of a club t months after the club's opening. You can use the following
N(t)=30t2+15t2+1  and/or N(t)dt=2000t+5(t2+1)32+C
1.1 How many members were in the club after 12 months?

Answer & Explanation

Pohanginah

Pohanginah

Skilled2021-01-23Added 96 answers

Here you are not being asked to find a rate of change, i.e. the number of members per month after the clubs opening. So, you could rule out using N′(t). Also, you are not asked to find an average, so you may also rule out using \int N(t).
Here you are only being asked how many members were in the club after 12 months, i.e. at t=12 how many members were in the club ? This is determined by your given function. So you are really asked to compute N(12)).

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