WebMay 20, 2024 · Vector function for the curve of intersection of an ellipsoid and a plane. Example. Find the vector function for the curve of intersection of the surfaces. WebTranscribed Image Text: Show that (u, v) = (8u + 3, u – v, 15u + v) parametrizes the plane 2x – y – z = 6. Then: (a) Calculate Tu , Tv, and n (u, v). (b) Find the area of S = + (D), where D = (u, v) : 0 < 3,0 < v < 7. (c) Express f (x, Y, z) = yz in terms of u and v and evaluate fs f (x, Y, z) dS. Expert Solution Want to see the full answer?
Math251-Fall2024-section16-8-9.pdf - ©Amy Austin November...
WebDec 1, 2024 · Answer: Step-by-step explanation: 1.Φ (u,v) gives the parametrization with its x, y, and z components. So, x=7u+4, y=u-v, and z=13u+v. We can use this to get the … WebSOLVED:Show that $ (u;v) = (8u + 8,u = v,I5u + v) parametrizes the plane 2x y - 2 = 16. Then: (a) Calculate Tu Tv, and n (u, v). (b) Find the area of S == # (D) , where D = (U,v) : 0 < u < 9,0 < v < 9. (c) Express f (x, y,2) yz in terms of u and v and evaluate Jfs f (z,y,2) dS. (a) Tu Tv n (u, v) (b) Area (S) (c) Jls f (z,y,2) dS JV Joshua V. breezeblocks architecture
MATH 248: ASSIGNMENT 6: SOLUTIONS Remark.
WebMath Advanced Math Show that (u, v) = (5u+5, uv, 9u + v) parametrizes the plane 2x - y -z = 10. Then: (a) Calculate T₁, T , and n (u, v). V₁ (b) Find the area of S = Þ (D), where D = (u, v) : … WebRecall the tangent plane is useful in approximating surfaces, ... Then r φ ⇥ r = ⌦ ⇢ 2 sin ... Show More. Newly uploaded documents. math55a_assignment8.pdf. 0. math55a_assignment8.pdf. 4. 5 Oct 26 2010 Feb 28 2011 Apr 26 2011 Jul 26 2011 CAD CAD CAD CAD CAD Millions. 0. WebShow that Φ(u,v) = (3u+3, u−v, 5u+v) Φ ( u, v) = ( 3 u + 3, u − v, 5 u + v) parametrizes the plane 2x− y− z = 6 2 x − y − z = 6. Then: a. Calculate T u, T v, and n(u,v) T u, T v, a n d n (... could possibly be