A surface S is described parametrically by = h cos 0, y = h sin 0, z = a – h, (0 0 can be written in the form xi+yj k n = V2(x2 + y2)1/2 ' v2

Q: Match each parametrization with the corresponding surface. (i) (ii) (iii) (iv) (v) Answer Bank (u,…

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Q: Find the equation of the tangent line to the trace y-3 of the quardic surface defined by 9x² + 2y²…

A: We have to find the equation of the tangent line to the trace y=3 of the quardic surface defined by…

Q: al Let fix,y) = xey². a) Find the equation for the tangent plane to the graph off at (12) b. What…

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Q: Find an expression for a unit vector normal, no, to the surface x = (4 – cos (v)) cos (u), y = (4 –…

A: The complete solutions are given below

Q: Find an equation of the tangent plane to the surface at the given point. X²+y²+z²=14, (1,2,3) And…

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Q: Find an equation for the tangent plane to the surface x = u² – v², y = u + v, 2 = u² + 4v at (-},2).

A: We have r(u,v) = (u2-v2)i + (u+v)j + (u2+4v)k

Q: 2.Proof that any tangent plane for the surface F(- point = 0 passses through a fixed

A: Given below clear explanation

Q: 4. Consider the parametric curve x = cost, y = sin cost, te [-T, π]. (a) Show that (0,0) is a point…

A: Consider the parametric curve given by  and , where  belongs to .a) To show that  is a point of…

Q: If New Hampshire's population was 1.4 million in 2018 and there were 1.3 million motor vehicle…

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Q: Let f(x,y) =sin(xy-x-3y+3) a) Find the domain and range of f b) Factor the argument on the sin…

A: Given .(a)As x and y can take any real values, the domain is R×R.The function f bounded between −1…