Let f(x, y) = x² + 5y².(a) Find f(6, 1) and f (6, 1).fx(6, 1)f,(6, 1) =(b) Interpret the numbers in part (a) as slopes.O f,(6, 1) is the slope of the tangent line to the curve of intersection of the surface z = x + 5y and the plane y0 at the point (6, 1, 41). f,(6, 1) is the slope of the tangent line to the cun||of intersection of the surface z = x + 5y and the plane x = 1 at the point (6, 1, 41).O f,(6, 1) is the slope of the tangent line to the curve of intersection of the surface z = x + 5y and the plane y = 1 at the point (6, 1, 0). f (6, 1) is the slope of the tangent line to the curof intersection of the surface z = x² + 5y2 and the plane x = 6 at the point (6, 1, 0).O f(6, 1) is the slope of the tangent line to the curve of intersection of the surface z = x² + 5y² and the plane y1 at the point (6, 1, 41). f,(6, 1) is the slope of the tangent line to the cof intersection of the surface z = x2 + 5y2 and the plane x = 6 at the point (6, 1, 41).O f.(6, 1) is the slope of the tangent line to the curve of intersection of the surface z = x² + 5y² and the plane y = 6 at the point (6, 1, 41). f,(6, 1) is the slope of the tangent line to the c%Dof intersection of the surface z = x2 + 5y2 and the plane x = 1 at the point (6, 1, 41).(c) Interpret the numbers in part (a) as rates of. change.O f.(6, 1) is the rate of change of f(x, y) with respect to x with y held fixed with a value of 10. f,(6, 1) is the rate of change of f(x, y) with respect to y with x held fixed with a value of 12.O f (6, 1) is the rate of change of f(x, y) with respect to x with y held fixed with a value of 0. f (6, 1) is the rate of change of f(x, y) with respect to y with x held fixed with a value of 1.O f (6, 1) is the rate of change of f(x, y) with respect to x with y held fixed with a value of 0. f(6, 1) is the rate of change of f(x, y) with respect to y with x held fixed with a value of 0.f.(6, 1) is the rate of change of f(x, y) with respect to x with y held fixed with a value of 1. f(6, 1) is the rate of change of f(x, y) with respect to y with x held fixed with a value of 6.

fx(x,y) represents the rate of change of the function f(x,y) as we change x and y fixed. fy(x,y)…

Let f(x, y) = x² + 5Sy. (a) Find f,(6, 1) and f,(6, 1). ,(6, 1) = ,(6, 1) = (b) Interpret the numbers in part (a) as slopes. Of (6, 1) is the slope of the tangent line to the curve of intersection of the surface z = x + 5y and the plane y = 0 at the point (6, 1, 41). f(6, 1) is the slope of the tangent line to the cu of intersection of the surface z = x + 5y and the plane x = 1 at the point (6, 1, 41). Of (6, 1) is the slope of the tangent line to the curve of intersection of the surface z = x + 5y and the plane y =1 at the point (6, 1, 0). f(6, 1) is the slope of the tangent line to the cur of intersection of the surface z = x + 5y and the plane x = 6 at the point (6, 1, 0). O f (6, 1) is the slope of the tangent line tó the curve of intersection of the surface z = x + Sy and the plane y = 1 at the point (6, 1, 41). f (6, 1) is the slope of the tangent line to thec of intersection of the surface z = x + 5y and the plane x = 6 at the point (6, 1, 41). Of (6, 1) is the slope of the tangent line to the curve of intersection of the surface z = x + 5y and the plane y = 6 at the point (6, 1, 41). f(6, 1) is the slope of the tangent line to the c of intersection of the surface z = x + 5y and the plane x = 1 at the point (6, 1, 41). (c) Interpret the numbers in part (a) as rates of change. OF.(6, 1) is the rate of change of f(x, y) with respect to x with y held fixed with a value of 10. f(6, 1) is the rate of change of f(x, y) with respect to y with x held fixed with a value of 12. Of.(6, 1) is the rate of change of f(x, y) with respect to x with y held fixed with a value of 0. f.(6, 1) is the rate of change of f(x, y) with respect to y with held fixed with a value of 1. Of.(6, 1) is the rate of change of f(x, y) with respect to x with y held fixed with a value of 0. f(6, 1) is the rate of change of f(x, y) with respect to y with x held fixed with a value of 0. O f.(6, 1) is the rate of change of f(x, y) with respect to x with y held fixed with a value of 1. f,(6, 1) is the rate of change of f(x, y) with respect to y with x held fixed with a value of 6.

Let f(x, y) = x² + 5Sy. (a) Find f,(6, 1) and f,(6, 1). ,(6, 1) = ,(6, 1) = (b) Interpret the numbers in part (a) as slopes. Of (6, 1) is the slope of the tangent line to the curve of intersection of the surface z = x + 5y and the plane y = 0 at the point (6, 1, 41). f(6, 1) is the slope of the tangent line to the cu of intersection of the surface z = x + 5y and the plane x = 1 at the point (6, 1, 41). Of (6, 1) is the slope of the tangent line to the curve of intersection of the surface z = x + 5y and the plane y =1 at the point (6, 1, 0). f(6, 1) is the slope of the tangent line to the cur of intersection of the surface z = x + 5y and the plane x = 6 at the point (6, 1, 0). O f (6, 1) is the slope of the tangent line tó the curve of intersection of the surface z = x + Sy and the plane y = 1 at the point (6, 1, 41). f (6, 1) is the slope of the tangent line to thec of intersection of the surface z = x + 5y and the plane x = 6 at the point (6, 1, 41). Of (6, 1) is the slope of the tangent line to the curve of intersection of the surface z = x + 5y and the plane y = 6 at the point (6, 1, 41). f(6, 1) is the slope of the tangent line to the c of intersection of the surface z = x + 5y and the plane x = 1 at the point (6, 1, 41). (c) Interpret the numbers in part (a) as rates of change. OF.(6, 1) is the rate of change of f(x, y) with respect to x with y held fixed with a value of 10. f(6, 1) is the rate of change of f(x, y) with respect to y with x held fixed with a value of 12. Of.(6, 1) is the rate of change of f(x, y) with respect to x with y held fixed with a value of 0. f.(6, 1) is the rate of change of f(x, y) with respect to y with held fixed with a value of 1. Of.(6, 1) is the rate of change of f(x, y) with respect to x with y held fixed with a value of 0. f(6, 1) is the rate of change of f(x, y) with respect to y with x held fixed with a value of 0. O f.(6, 1) is the rate of change of f(x, y) with respect to x with y held fixed with a value of 1. f,(6, 1) is the rate of change of f(x, y) with respect to y with x held fixed with a value of 6.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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