Calc 3 Find a unit normal vector to the surface f(x, y, z) = 0 at the point P(- 3, - 2, 19) for the function5xf(x, y, z) = In2y – zPlease write your answer as a vector (a, b, c) with a negative z component, and show your answeraccurate to 4 decimal placesn =||%3DAdd Work

Name: Calc 3 Find a unit normal vector to the surface f(x, y, z) = 0 at the
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Calc 3 Find a unit normal vector to the surface f(x, y, z) = 0 at the point P(- 3, - 2, 19) for the function5xf(x, y, z) = In2y – zPlease write your answer as a vector (a, b, c) with a negative z component, and show your answeraccurate to 4 decimal p

The given function is fx,y,z=ln5x-2y-z and the given point is -3,-2,19.

Math

Advanced Math

Find a unit normal vector to the surface f(x, y, z) = 0 at the point P(-3, - 2, 19) for the function 5x f(x, y, z) In -2y- Please write your answer as a vector (a, b, c) with a negative z component, and show your answer accurate to 4 decimal places n = |

Find a unit normal vector to the surface f(x, y, z) = 0 at the point P(-3, - 2, 19) for the function 5x f(x, y, z) In -2y- Please write your answer as a vector (a, b, c) with a negative z component, and show your answer accurate to 4 decimal places n = |

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Vectors In Two And Three Dimensions

Section9.6: Equations Of Lines And Planes

Problem 2E

See similar textbooks

Similar questions

The temperature T, at a point (x, y) in the xy-plane is given by T(x, y) = 4x^2y^3degrees Celsius. Find a unit vector in the direction in which the temperaturedecreases most rapidly at (2, 3) and find this minimum rate of decrease intemperature at (2, 3).
Find a vector normal to the surface 3z 3 + x 2 y - y 2 x = 1 at P =(1,-1,1) .
consider the surface xyz=60.Find the unit normal vector to the surface at the point (4,3,5) with positive first coordinate.Find the equation of the tangent plane at the given point. Express your answer in the form ax+by+cz+d=0, normalize so that a=15.
Find a nonzero vector normal to the plane z−3(x−5)=−4(2−y).
Sketch the space curve represented by the intersection of the surfaces z = x2 + ,y2 x + y = 0 . Then represent the curve by a vectorvalued function using the parameter x = t .
Use Stokes' Theorem to find the work done on a particle moves along the line segments from the origin to the points (2,0,0) (2,4,3) , (0,4,3). and back to the origin. Note that this (counterclockwise) path is a rectangle on the plane z = 3/4 y. The motion is under the influence of the force field F = z2 i+ 2xy j + 4y2 k
Find the unit normal vector at the indicated point. Assume an outward orientation for the closed surface S. S is the boundary of the solid enclosed by the hemisphere z=sqrt(8−x2−y2) and the xy-plane (2, 1, 0) (0, 2, 2) 3.(1, 1, sqrt6)
Find a unit normal vector to the surface 6x2 + 2y2 + z2 = 225 at the point P : (5, 5, 5), and determine the direction of maximum decrease of f.
Use Stokes's Theorem to evaluate Integral of the curve from the force vector: F · dr. or the double integral from the surface of the unit vector by the curl of the vector. In this case, C is oriented counterclockwise as viewed from above.F(x, y, z) = z2i + 2xj + y2kS: z = 1 − x2 − y2, z ≥ 0
Find a vector normal to the surface x2 + y2 − z = 0 at the point (3, 4, 25). Find the equations of the tangent plane and normal line to the surface at that point.
Find a vector valued function which gives the curve of intersection of y2 + z2 =16 with the plane 2x+z=-11. (The goal is to parametrize x=x(t), y = y(t), z=z(t) as a function of t, and form a function like r_>(t) = x(t), y(t), z(t)>) The Proffessor then says "The equation y2 + z2 =16 tells us to take y= y(t)= 4 cost(t) z= z(t) = 4 sin(t)" I don't understand how he got y= y(t)= 4 cost(t) z= z(t) = 4 sin(t). Please explain in detail.
Find a vector parametrization of the curve x=−2z^2 in the xz-plane. Use t as the parameter in your answer