Compute the length of the curve r(t) = (-4t, 3t+1, -7t-6) over the interval 0 ≤ t ≤ 3. (Use symbolic notation and fractions where needed.) S=

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A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

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Q: a) Prove that, a dy [r² √а4-y4 4а√2π

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A: Note: According to the guidelines we are allowed to solve three subparts at a time . So please post…

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A: Note : As per our guidelines , we can solve first three subparts . Please repost remaining parts .

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Q: 3pz 1 22 1 81π2 1 = (²) ² (6 - ²7 ) re-²r₁ a 7 3d₂² (3) ²2 1 r²e-Zr/3a (3cos²0 − 1) 81 (67)² Plot…

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Q: fi 2.9 1 -2.3 -3.2 x y -2.5 -1.4 0.2 3.0 -3.2 -2.3 2.9 1.0 x-y değer çiftleri -2.5 -1.4 0.2 x 3 Find…

A: We have, The value of table for x and yx-2.5-1.40.23y-3.2-2.32.91Lagrange's Interpolation formula is

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A: we have given , where  is function of defined implicitly.therefore we have

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Q: 3. Consider the problem min x x,yER s.t. (x – 1)? + (y – 1)? < 1 (x – 1)? + (y + 1)² <1 Draw the…

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Q: Determine the magnitude of the resultant force FR = F1+F2. 70° 45° F2 = 500 N 30° u F₁ = 300 N

A: We have to find magnitude of resultant force using given data.