1. Find the arc length of the curve y = 2/3x 3/2 from (1, 2/3) to (2, 4/3).

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Q: (7) Find the lengths of the curve r =2/(1 - cos 0), a/2<0<n.

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Q: Assume: (1) FIT calculated by percentage method and (2) Social Security 6.2% on $118,500; Medicare…

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Q: What is the point of intersection of the tangent lines to the curve r(t) = sin(πt)i + 8sin(πt)j +…

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Q: the length of the curve r = V1+ cos 20 for – -sos.

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Q: Find the tangent line at (-1,3) to the curve y* – 2xy – 27 =0. ,3 |

A: Given- y4-2x2y3-27=0 To find- The equation of the tangent at the point -1,3 to the above curve.…

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Q: Find the equation of the tangent line of the curve y = sin r + cos a at the point A(, v2).

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Q: Find the tangent plane to the equation 2 = 4y cos(3x-5y) at the point (5, 3, 12). 2 =

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Q: Find the equation of the line tangent to the cardioid r = 1+ sin(0) at Ô0 =

A: Given that,, Here, differentiate w.r.t. ,we get, We know that, To find: equation of the line…

Q: Show that the equation of the tangent to the curve = 2 (a'0, b1.0) a y at the point (a, b) is = 2.…

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Q: Find the equation of the tangent line to the curve y = 6 sin x at the point (T/6, 3).

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Q: 29. Find equations for the lines that are tangent and normal to the curve y = V2 cos x at the point…

A: y=2cosx ,   π4, 1 Differentiating with respect to x, we get dydx=2-sinx=-2sinx Now slope of the…

Q: is the tangent line to y= 1/2arctan(1/5x) at the point (5,π/8)?

A: Answer and explanation is given below

Q: For the curve r-y +2xy-y+1=0: a) Find the derivative dy/dx. b) Where do the horizontal tangent lines…

A: follow the next step

Q: V. The tangent line at the point (t, y) = (- to 4'2 1 Then, the curve y = cos t is y = bt - - - a a…

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Q: Find unit tangent of curve r(t)=

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Q: ) If y = cos2x + 2cosx for 0 < x < 2n. Find the points at which the tangent line is horizontal.

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Q: Find the tangent line at (-1,3) to the curve y* – 2x*y' - 27=0.

A: Given, The equation of the curve    y4 -2x2y3 -27 = 0  We have to find the  tangent line at -1, 3 .…

Q: Calculate the length of an arc of the function y = x3 + 1 between y = 1 and y = 2

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