Choose the normal vector of the tangent plane to the surface defined by Z = e6x²+14xy-5y² at the point (3,-4,4). O -20 1949 82 194 - 1>

Q: 32 – x² – 3y² at the 5. Find the equation of the tangent plane to the surface z = point (2, –1, 5).

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Q: Find the directional derivative of each of the following functions fat the given point p in the…

A: We have to find the directional derivative of each of the following functions f at the given point p…

Q: Find the equation for the tangent plane and the normal line at the point Po(1,2,1) on the surface…

A: The given problem is to find the equation of tangent plane to the surface and equation of normal…

Q: 4. For the cylinder with patch X(u, v) = (R cos u, R sin u, v), (a) Find the normal vector U. (b)…

A: Given Data: Let us consider the given data, Xu,v=Rcosu,Rsinu,v. A non-zero vector that is…

Q: Find equations of the following. 2(x - 4)2 + (y - 1)2 + (2 – 6)2 = 10, (5, 3, 8) (a) the tangent…

A: Given that: 2(x-4)2+(y-1)2+(z-6)2=10        and (5, 3, 8)

Q: let angle thetha be measured from x1 axis counterclockwise to a line drawn normal to the boundary…

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Q: 4. For the cylinder with patch (a) Find the normal vector U. (b) The Gauss X(u, v) = (R cos u, R sin…

A: Since you have posted a question with multiple sub-parts, we will solve the first two subparts for…

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 equations for (a) the tangent plane and (b) normal line at the point P, on the given surface x*…

A: According to bartleby guidelines when student asks more than one question expert have to answer…

Q: Consider a differentiable function p(x,y) with the properties below. Use these properties to answer…

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Q: Check that the point (1,-1,2) lies on the given surface. Then, viewing the surface as a level…

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Q: The unit tangent I already found which was correct was (32 , 24t , 9t^2 )*1/41 I need the…

A: To find unit normal vector

Q: t-) For each surface below, find the normal vector and equation of the tangent plane at the given…

A: Use definition of tangent plane and norman vector.  According to guidelins, we solve only first 3…

Q: Find equations of the tangent plane and normal line to the surface x = 5y² + 5z² — 28 at the point…

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Q: Q4 (a) Given a cylinder x' +y² = 1 and a plane x +z = 1. (i) Find a vector-valued function r(t) that…

A: we have,  A cylinder x2+y2=1 and a plane x+z=1 i x2+y2=1x2+y2=cos2t+sin2tx2+y2=cost2+sint2⇒x=cost,…

Q: Part B please g(x,y,z)=x^2+y^2+(z-3)^2

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Q: Find the equations of the normal line to the surface z = 7x¹y at the point (1,-1,-7) H= y= z=-t+-7

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Q: Tangent to the surface, find an equation of the

A: Introduction: The formula of the tangent plane from the equation fx,y=z at the point a,b,c is given…

Q: r(t) = (4+t)i+(9+ln(cos t))k, -pi/2 < t < pi/2 Find principal unit  normal vector N for the curve…

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Q: for the curve defined by =(t) = (e¹, 6t, e) ind the unit tangent vector, unit normal vector, normal…

A: We know that u.v'=u'v+vu' . And if a→=&lt;a1,a2,a3&gt; then a→=a12+a22+a32 .

Q: y Consider the surface of equation z = What is the equation for the tangent line to S at x2+y4 * the…

A: Solution