Mathematics

Mathematics, 29.09.2019 12:20, novesparks

Consider x=h(y, z)x=h(y, z) as a parametrized surface in the natural way. write the equation of the tangent plane to the surface at the point (3,0,3)(3,0,3) given that ∂h∂y(0,3)=−5∂h∂y(0,3)=−5 and ∂h∂z(0,3)=−3∂h∂z(0,3)=−3.

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Mathematics, 01.10.2019 03:00, kward591

Suppose you need to know an equation of the tangent plane to a surface s at the point p (2,1,3). you don't have an equation for s but you know that the curves: r1(t) = (2+3t, 1-t^2, 3-4t+t^2) r2(t) = (1-u^2, 2u^3-1, 2u+1) both lie on s. find an equation of the tangent plane at p. *note: both r1 and r2 are vectors

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Mathematics, 17.10.2019 03:30, morganluvsblueow9wtm

Consider the surface, s, described by the equation z = x sin(x + y). (a) does (2, −2, 0) belong to this surface? if so, what is the equation of the tangent plane, t, to the surface at this point? (b) suppose r(t) = ha(t), b(t), c(t)i is a vector valued function whose associated space curve, c, is on the surface s. that is, we suppose c(t) = a(t) sin(a(t) + b(t)) for all t ∈ r. show that if r(0) = h2, −2, 0i, then r 0 (0) is parallel to t. (c) we now suppose r 0 (0) 6= 0. is the tangent line to c at r(0) on the plane t? can you infer from this a general fact about space curves on surfaces, tangent lines, and tangent planes?

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Consider x=h(y, z)x=h(y, z) as a parametrized surface in the natural way. write the equation of the...

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