For the curve defined by *(t) = 2 cos(t)i +2 sin(t)j + 3tk evaluate F (2)||du S = to find the arc length function. S = Solve the arc length function for t: t = Parametrize 7(t) by arc length by substituting in the solved arc length function. F(s) =

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A: On solving this we will get

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A: Ratio Test : Suppose we have series ∑ an.Define, L =limn→∞ an+1an , then(i)  If L<1, series…

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A: We will check if the given statement is correct.

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A: Given, rsin(theta)= -1 We know that, Rectangular coordinates are given by, x= rcos(theta)…

Q: explain

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A: 2). The given function is: w=2ytan2x+y-3xsecx2y3   As we know that; The Power law: ddxxn=nxn-1 The…

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A: Given query is to find the integral.

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A: A plane P1 in R3 is perpendicular to the vector n→=4,  5, 7, and contains the point 3, 3,  8.a To…

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Q: set B: Problem #G · Find the equation of the line tangent to X = JL F (x) C) cos?x - sin2

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A: We have to find the value of X in the function in which function is increasing.

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A: In this question we have to find the area enclosed by the curves.

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Q: Use the Root Test to determine whether the series convergent or divergent. n2 + 1 9n2 + 8 n- 1

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Q: Зх-7 dx 10x2+3x+11

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A: Use derivative for finding the local maxima and minima

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A: Given

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A: Here, the given integral is: ∫02π(4-y2)2dy which is of the form  π(outer radius)2-(inner…

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Q: x² – 4 For the function f(x) =- x' +3x – 4 a) Find the equation of the vertical asymptote(s) b)…

A: Solution is here

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A: This question can be solved using the concept of unit tangent vector and length of vector curve.

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A: Here, given that: yc=c1x2+c2x3⇒y1=x2, y2=x3 And, u1=2x-3x2, u2=2x+3

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A: Solve the following