Find the equation of the two lines that are tangent to the curve x 2 + 4y 2 − 4x − 8y + 3 = 0 at (−1, 3) using differentials on slopes and curves.

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A: We will solve the problems.

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A: The given problem is solved below in detail.

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A: We have to find the statement that is proposition.

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A: This question can be solved using the concept of function.

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A: Given query is to find the solution of the system.

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A: Topic:- application of integration

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A: The characteristic equation of the given differential equation is 27m4-18m2+8m-1=0.

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A: Explained below

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A: see below the answer and calculation

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A: Given the function,     fx=2,x is rational-2,x is irrational

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A: We have to find the Distance

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A: Given query is to find series converges or diverges.

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A: topic- average rate of change of function over interval

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A: We can solve this as follows:

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A: A detailed solution is given below.

Q: The following statement is correct: cos y . sin x •1 cos y . sin x - dx dy. x3 dydx = [* ' ery exy…

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