Mathematics

Mathematics, 08.08.2019 00:20, lindasuebairdoyjpf7

Let ii be the tangent plane to the graph of f(x, y) = 8 – 2x^2 – 3y^2 at the point (1, 2,-6). let s, x² + y^2 + z = 4 be another surface. find the point on s which has tangent plane parallel to i.

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Mathematics, 23.09.2019 19:10, yourfreeshoppep3u91x

Astudent was asked to find the equation of the tangent plane to the surface z=x3−y4 at the point (x,y)=(1,3). the student's answer was z=−80+3x2(x−1)−(4y3)(y−3). (a) at a glance, how do you know this is wrong. what mistakes did the student make? select all that apply. a. the (x - 1) and (y - 3) should be x and y. b. the -80 should not be in the answer. c. the partial derivatives were not evaluated a the point. d. the answer is not a linear function. e. all of the above (b) find the correct equation for the tangent plane. z=

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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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Mathematics, 19.10.2019 02:30, haleylayne74

Let s be the surface with parametrization (x, y, z) = r(u, v) = u cos v i + u sin v j + u k u ≥ 0, 0 ≤ v ≤ 2π. (a) show that s is a cone. hint: find an equation of the form f(x, y, z) = 0 for this surface by eliminating u and v from the equations for x, y, and z above. (b) sketch the cone, together with the "grid" curves on the cone where (a) u = 2 and (b) v = π/4. (c) find a parametrization of the tangent plane to the cone at the point where (u, v) = (2, π/4). add this tangent plane to your sketch.

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Let ii be the tangent plane to the graph of f(x, y) = 8 – 2x^2 – 3y^2 at the point (1, 2,-6). let s,...

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