Calculate the arc length of the indicated portion of the curve r(t). 43) r(t) = 2t2i + 11t2j+ 10t2k, 1 st≤2 A) 675 B) 337.5 C) 45

Q: Find the length of the curve. The spiral r=e40,0≤esn 03(²-1) O 0√17 (e4n - 1) 乒 O e-√3 0 (0-1)

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Q: G) for G) For anycurve, x= 3t,y=312,2=2t3, Show that 6 -

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Q: Let C be the line segment connecting the point p traces out C, the arc length of c(t), and ||p-q|| .…

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Q: 1) Find the length of the curve? X = y 3 + -| 1 4y from y=1 to y ==

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Q: Prove that for the curve x = 31, y = 3 f, z = 2 ² 3 (1+21²) 2 p=-o=

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Q: Find the length of the curve r(t) = i + 9t²j + 3t³k, 0 ≤ t ≤ √5 L =

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Q: 2 b) у +3х +2у -20%3 0 2 a) x* +4у + 4х - 8у-8%3D0

A: This is a question of the Transformation of axes.

Q: 5) Let F(x, y, z) = (z − x², xz, y²) and C be the curve of intersection between x² +3y² 1 and z = x²…

A: Let us first parameterize curve C.

Q: 2) Find the points on the curve where the tangent is horizontal or vertical. x = t2 – 8t, y = 2t3 +…

A: A parametric equation of a curve is given by: x = t2 - 8t    and    y = 2t3 + 3t2  We have to find…

Q: Find the length of the curve: r = 4cos³(0/3),0 < 0 < ? 2

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Q: 1) Find the length of the curve? X = y 3 3 + 1 4y from y = 1 to y = 3

A: we have given curve

Q: Compute the point of intersection of the curve sinx and x3-1 with the help of Bisection Method.…

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Q: Q5) Find the length of the curve: r = asin? ,0 0.

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Q: (47) Let C be the curve y = 5x where 1 ≤x≤9. Calculate the length of C.

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Q: The arc lenght of the curve (t)= (2t)i + (t²)j + (In (t²))k for 1 ≤ t≤e is. A) eº+11 B)e²+3 C) **+7…

A: The expression for the arc length of the curve is:

Q: Find the length of the following three-dimensional curve. r(t) = (2+5t,9-3t, -6+3t), for 1st≤4

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Q: Compute the length of the curve r(t) = 8t i+ 8t j + (t² + 7) k over the interval 0 <t < 3. HINT: use…

A: We will find out the required length.

Q: Prove that for the curve x = 31, y = 3 f², z = 2 8³, 3 (1+21²) 2 p=-o=

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Q: 5 Find the length of the curves: a) r(t) = (t, 3 cos t, 3 sin t ), −5 ≤ t ≤5 b) r(t) = √2ti +…

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Q: Find the curve length 1 X = 3 0² + 2) ?',0 < y < 4

A: In this problem, curve length of the given curve is to be determined

Q: Q2)f f is Cont then Ifl is cont. IS

A: See the attachment