5 ptsQuestion 1Determine the equation of the tangent plane and normal line to the surface at the givenpoint.x² + y² + z²35 at the point (3, 5, -1).Upload Choose a File=

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Answered: 5 pts Question 1 Determine the equation…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.1: Parabolas

Problem 39E

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(a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z2 = 14, (1, 3, 2) (b) Find a set of symmetric equations for the normal line to the surface at the given point.
Exercise. Find the equations of the tangent and the normal at the point indicated. 1. y = 3x2 -2x + 1 at (1, 2). 2. y = 2 + 4x - x2 at x= -1. 3. x2 + y2 - 6x + 2y = 0 at (0, 0). 4. y = x2 - 2x at its points of intersections with the line y = 3. 5. a2y = x3 at (a, a).
Find equations of the tangent plane and the normal line to the given surface at the specified point. x + y + z = 5exyz, (0, 0, 5) (a) the tangent plane b) the normal line (x(t), y(t), z(t)) =
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The plane y = 1 intersects the surface z = x4 + 6xy - y4 in a certain curve . Find the slope of the tangent line to this curve at the pointP = (1, 1, 6).
A researcher analyzing somedata created a linear modelwith R2 = 94, and having the residuals plot seen here.What should she conclude?A) The linear model is appropriate, because about thehalf the residuals are positive and half negative.B) The linear model is appropriate, because the value ofR2is quite high.C) The linear model is not appropriate, because the valueof R2is not high enough.D) The linear model is not appropriate, because theresiduals plot shows curvature.E) The linear model is not appropriate, because theresiduals plot identifies an outlier.
This is a two-part problem. I. Find the equation of the tangent plane to the surface x = 4y^2 + 3z^2 - 465 at the point (10, -10, -5). Make the coefficient of x equal to 1. II. Find the equation of the normal line to the surface x = 4y^2 + 3z^2 - 465 at the point (10, -10, -5). Make the coefficient of x equal to 1.
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5 pts Question 1 Determine the equation of the tangent plane and normal line to the surface at the given point. x² + y² + z² = 35 at the point (3, 5, –1). Upload Choose a File