Problem ! Give arc-length porametrit atian of the line which an the tongent planes of andh (1,2,9). is the interseetian of 2 3 at (!,-!,^)

Q: cost-sint) √2 r(t) = (3e' cost)i + (3e¹ sint)j + 2k For the space curve below, T= i+ sint+ cost s!).…

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Q: Rit +1 ,2it ait -| = î7 e +iz (1-iz)eit 1+iz %3D iz

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Q: Consider the ellipsoid x² + y² + 42² = 41. Find the acute angle that the tangent plane at the point…

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Q: The helix r(t)= intersects the sphere x2+y2+z2=2 in two points. Find the angle of intersections at…

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Q: Let S = R^2 - {(0, 0)} and let L be the set of all Cartesian lines lying in S. Show that {S,L} is…

A: We will use the definition of incidence geometry to solve the problem.By definition, a geometry…

Q: 19) Find fre are length of the curve an tue göven imprvel. onsweys a) (2308)-8 1728 り420) 864 c)…

A: Use arc length formula

Q: 11. If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point. O a)…

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Q: 2. Show that z^2 is one-to-one in a domain D if and only if D is contained in a half-plane whose…

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Q: _23. What is the equation of the circle that passes through (4, 2) with center (0, -1)? x2 + (y –…

A: Here we find the equation of circle which passes through (4,2) with centre (0,-1)

Q: If fiz)= 2³+e², and Cis the contour е z = 8e¹t 04+≤2π ost≤2 Find [ f(z)dz = ? (z+iR)³

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Q: 2. Triangle LMN wilh vertices /(6, 6), M(B, 8), and N(8, 3): a) reflection in the line x 5 b) 270°…

A: " Since you have asked multiple question, we will solve the first question for you. If you want any…