Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter your answer in terms of s.) r(t) = e2t cos(2t)i + 4j + e²t sin(2t) k

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Q: (a) -2y+ +3e² = 0, y(0) = 1 dy dx (b) x- da +y = 6xy², y(1) = 3 dy (c) d = 2y² + xy², y (0) = 1 dr

A: 1)a) -2y+dy/dx +3e2x=0, y(0)=1 b) xdy/dx +y=6xy2, y(1)=3 c) dy/dx=2y2+xy2, y(0)=1.

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A: NOTE: Refresh your page if you can't see any equations. . take derivative

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A: Given u = { 1 , 4 , 3 }v = { 0 , 5 , 8 }

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Q: 18.

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Q: Find the limit. lim (e-6ti + t-0 t² sin²(t) -j + sin(6t) k)

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Q: how? = 1024 625 = 1024 625 5 3 [+] - [ + ] - 1 S 3 2 15 ~1.423 + 1763 541 15360 = 2048 +1763√41 9375…

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Q: Find the equation of the tangent line to the curve y 6 sin x + cos x at the point (0,6).

A: Here we have to find the equation of tangent line.