Let c(t) = (cost, sin(2t)). a. Make a table for the parametric curve using t = {0,7,7,7,7,7,7,7, 2n} to find the x and y values at those values. b. Make a sketch of the curve showing the direction of motion.

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A: Sequential compactness.

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A: Consider the triangle Using the first formula we getor, or, Therefore, the length of AD is

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A: this basically states the following that any 2 cyclic groups of the same order are isomorphic.

Q: #9: Consider the following differential equation. (1 + 3x²) y'' - 8xy + 6y = 0 (a) If you were to…

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A: “Since you have posted multiple questions, we will provide the solution only to the firstquestion as…

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A: We shall use the triangle inequality to solve this problem

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Q: #8: Suppose that an = as 8n a₁²2² +2a₂x³ + 3a3x²4 + 4a4x³ + ... (i) Σf(n)x"+2 n=0 (ii) g(n)x+1 We…

A: This is a good exercise in summation and we shall see how to change the indices.

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Q: can this be done on paper?

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Q: Problem #10: Consider the following differential equation, (x² − 9)² y" + (x + 3)(x — 7) y' – (x +…

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