Find the area of the surface with the following parametrization: u COS V Τ (u, υ) - u sin v u? 0
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Q: Find the equation of the tangent plane Pr to the surface S:x2 +y? + z2 = 9 at (2,-1, 2)
A: To find :Equation of tangent plane to the surface x2+y2+z2=9 at the point (2,-1,2).
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A: Area of parametric surface given by r(u,v) , a<u<b and c<v<d Area=∫ab∫cdru×rvdv du
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Q: For which one of the following surfaces is Þ(u, v) = sinui+uj + vk parametrization?
A: φu,v=sinui^+uj^+vk^
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Q: ) The portion of the cylinder x² + z² = 10 between the planes y = −1 and y = 1.
A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…
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- Use cylindrical coordinates to calculate: - y² dV W : x² + y² < 49, 0< z< 14 SSIW(x² + y?) dV =The parametric surface Ř (r, 0) = r cos 0i + r sin 0j + 0k, for 0 ≤ 0 ≤ 6ñ, 0 ≤ r ≤ 1, is a helicoid (spiral ramp). What is the surface area? A =Consider the curve y = – In|cos(x)| 77 as x travels from T to 6 a) Find the length of the curve. b) Find the surface area obtained from rotating the curve about the x-axis. c) Find the surface area obtained from rotating the curve about the y-axis.
- Describe the surface with parameterization r(u, v) = (2 cos u, 2 sin u, v) , 0Consider the hyperbolic paraboloid y? S = {(x, y, z) E R* | =}. Write down the equation for the 2 tangent plane to S at the point (1, 2, -5). Approximate V(7.992) + (80.998) using tangent plane ap- proximation.Find an equation of the tangent plane to the parametric surface R(u, v) = 〈(u — sin u) cos v, (1 − cos u) sin v, u〉at the point where u = v= ㅠ/2Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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