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Answer all parts of question 1. 1a.) Find the limits, as t approaches both positive infinity...

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Advance Math

Answer all parts of question 1.

1a.) Find the limits, as t approaches both positive infinity andnegative infinity, of the solution ?(t) of the ivp x' =(x+2)(1-x^4), x(0) = 0

1b.) Find the value of a such that the existence and uniquenesstheorem applies to the ivp x' = (3/2)((|x|)^(1/3)), x(0) = a.

1c.) Explain why x' + ((sin(t)) / ((e^t) + 1)) * x = 0 cannothave a solution x(t) such that x(1) = 1 and x(2) = -1.

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