Consider the following parametric equation. a. Eliminate the parameter to obtain an equation in x and y. b. Describe the curve and indicate the positive orientation. x = 2 cost, y=2 sint; ≤t≤2

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A: Sum of first n terms of a geometric sequence is given by Sn=arn-1r-1 where a is te first term and…

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A: This question is based on logarithmic function.

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A: We can find the approximate answer as below.

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A: Here we have to find the directional derivative.

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A: Let's find total diffrential.

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A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

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A: This question is based on Lagrange multiplier.

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A: NOTE: Refresh your page if you can't see any equations. . here we have

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A: Given that equation of parabola y=4x-5x2let ,equation of line y=mx   where slope=m which is devide…

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A: The given data is: x2+4y2+z2=16 Let  fx,y,z=x2+4y2+z2-16 Now, fx=2xfy=8yfz=2z