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# C3 soloman. Rate of change. Watch

1. Hey. Please can somone help me with this question.
https://b3755649dbd1afe3db91a899c3b9...20C3%20OCR.pdf
Im confused how to got about question 9(iii) how do i use the fact that it is a translation to help me.

Thanks.
2. (Original post by SamuelN98)
Hey. Please can somone help me with this question.
https://b3755649dbd1afe3db91a899c3b9...20C3%20OCR.pdf
Im confused how to got about question 9(iii) how do i use the fact that it is a translation to help me.

Thanks.
If you like, you can forget about the 5 part as it's the Ae^-kt and the Be^-kt parts that need to be the same.

Now, A and be have to be such that Ae^-kt = Ce^-k(t+60). This is because, as you can see from the graph / the translation, for any value in the first range, 60 seconds later it will be the same in the second range, but the C value is not the B value that we're looking for - it's an intermediate step.

You already know what A is so you just have to define C. It may help to split up the exponential part so that you're left with it being of the form Be^-kt as required, which is going to be something related to the C value which is defined in terms of A.

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