Consider a surface S which is parameterised by {r(u, v) = ui + (u + v)j+ vk :0 < u < 1,0 < v< 1}. At the point (,1, ), find a normal to S that has i component given by i itself. (Another way to say this: i. N = 1.) N = i+ • j+ • k

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider a surface S which is parameterised by
{r(u, v) = ui + (u + v)j + vk :0 <u< 1,0 <v< 1}.
At the point (, 1, }), find a normal to S that has i component given by i itself. (Another way
to say this: i. N = 1.)
N = i+
• j+
where the choices are:
(a) 1
(b)
(c) V3
(d) -V3
(e) *
(f)
(g) None of the other choices are correct
Find the integral of the scalar function f(x, y, z) = x over this surface
æ dS =
Transcribed Image Text:Consider a surface S which is parameterised by {r(u, v) = ui + (u + v)j + vk :0 <u< 1,0 <v< 1}. At the point (, 1, }), find a normal to S that has i component given by i itself. (Another way to say this: i. N = 1.) N = i+ • j+ where the choices are: (a) 1 (b) (c) V3 (d) -V3 (e) * (f) (g) None of the other choices are correct Find the integral of the scalar function f(x, y, z) = x over this surface æ dS =
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