# The Uber IPO will happen soon. Your work for a hedge fund that is considering purchasinga significant number of Uber shares on the first day of trading. Your main analyst has de-termined that the change in rate of share purchases (in millions of shares per hour) on themarket starting from the opening bell (t-0) will follow the model:da:How many shares are sold in the first 2 hours?

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1_4 Can you please help me with this example in a step by step guide. Thank you very much!!

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Step 1

Given information:

Denote the number of Uber shares (in millions of shares per hour) sold as x.

Denote the time as t.

The change in rate of share purchases (in millions of shares per hour) on the market starting from the opening bell (t = 0) will follow the model given below:

Step 2

Find the number of shares sold in the first 2 hours:

Here, it is given that the change in rate of share purchases is modeled at time t = 0.

The objective is to find the number of shares sold in the first 2 hours.

That is, to find the ...

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