1. We have a mysterious function f. Match the slope fields (I-IV) with the differential equations (a-d). Explain your choices. (a) du = f(t). (b) dy = f(y). (c) du = f(t-y). (d) dy = f(t+y).

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A: Here, part (c) is related to problem 1, which is not given here. So, only parts (a), (b) answered

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A: This is a problem of vector calculus.

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Q: Could you please provide another proof?

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A: We will use properties of log logbpq=qlogbplogbp- logbq=logbpq

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