Homework Help is Here – Start Your Trial Now!
Math
Calculus
(a) Find f,(1, 4) and f,(1, 4). ,(1, 4) = (1, 4) =

(a) Find f,(1, 4) and f,(1, 4). ,(1, 4) = (1, 4) =

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
See similar textbooks
icon
Related questions
Question
Let f(x, y) = 9 – x² + xy – 5y2. (a) Find f.(1, 4) and f,(1, 4). fx(1, 4) f,(1, 4) = (b) Interpret the numbers in part (a) as slopes. f,(1, 4) is the slope of the tangent line to the curve of intersection of the surface z = 9 - x² + xy – 5y2 and the plane y = 4 at the point (1, 4, –68). f,(1, 4) is the slope of the tangent line to the curve of intersection of the surface z = 9 – x² + xy – 5y and the plane x = 1 at the point (1, 4, -68). O f,(1, 4) is the slope of the tangent line to the curve of intersection of the surface z = 9 – x + xy – 5y and the plane y = 1 at the point (1, 4, –68). f (1, 4) is the slope of the tangent line to the curve of intersection of the surface z = 9 - x2 + xy - 5y2 and the plane x = 1 at the point (1, 4, -68). O f,(1, 4) is the slope of the tangent line to the curve of intersection of the surface z = 9 – x2 + xy – 5y2 and the plane y = 0 at the point (1, 4, –-68). f(1, 4) is the slope of the tangent line to the curve of intersection of the surface z = 9 – x2 + xy - 5y2 and the plane x = 1 at the point (1, 4, -68). O f,(1, 4) is the slope of the tangent line to the curve of intersection of the surface z = 9 x2 + xy – 5y2 and the plane y = 4 at the point (1, 4, 0). f(1, 4) is the slope of the tangent line to the curve of intersection of the surface z = 9 – x2 + xy - 5y2 and the plane x = 1 at the point (1, 4, 0). (c) Interpret the numbers in part (a) as rates of change. O f,(1, 4) is the rate of change of f(x, y) with respect to x with y held fixed with a value of 4. f,(1, 4) is the rate of change of f(x, y) with respect to y with x held fixed with a value of 0. O f,(1, 4) is the rate of change of f(x, y) with respect to x with y held fixed with a value of 4. f,(1, 4) is the rate of change of f(x, y) with respect to y with x held fixed with a value of 1. O f,(1, 4) is the rate of change of f(x, y) with respect to x with y held fixed with a value of 1. f,(1, 4) is the rate of change of f(x, y) with respect to y with x held fixed with a value of 4. O f,(1, 4) is the rate of change of f(x, y) with respect to x with y held fixed with a value of -39. f,(1, 4) is the rate of change of f(x, y) with respect to y with x held fixed with a value of 2.
Transcribed Image Text:Let f(x, y) = 9 – x² + xy – 5y2. (a) Find f.(1, 4) and f,(1, 4). fx(1, 4) f,(1, 4) = (b) Interpret the numbers in part (a) as slopes. f,(1, 4) is the slope of the tangent line to the curve of intersection of the surface z = 9 - x² + xy – 5y2 and the plane y = 4 at the point (1, 4, –68). f,(1, 4) is the slope of the tangent line to the curve of intersection of the surface z = 9 – x² + xy – 5y and the plane x = 1 at the point (1, 4, -68). O f,(1, 4) is the slope of the tangent line to the curve of intersection of the surface z = 9 – x + xy – 5y and the plane y = 1 at the point (1, 4, –68). f (1, 4) is the slope of the tangent line to the curve of intersection of the surface z = 9 - x2 + xy - 5y2 and the plane x = 1 at the point (1, 4, -68). O f,(1, 4) is the slope of the tangent line to the curve of intersection of the surface z = 9 – x2 + xy – 5y2 and the plane y = 0 at the point (1, 4, –-68). f(1, 4) is the slope of the tangent line to the curve of intersection of the surface z = 9 – x2 + xy - 5y2 and the plane x = 1 at the point (1, 4, -68). O f,(1, 4) is the slope of the tangent line to the curve of intersection of the surface z = 9 x2 + xy – 5y2 and the plane y = 4 at the point (1, 4, 0). f(1, 4) is the slope of the tangent line to the curve of intersection of the surface z = 9 – x2 + xy - 5y2 and the plane x = 1 at the point (1, 4, 0). (c) Interpret the numbers in part (a) as rates of change. O f,(1, 4) is the rate of change of f(x, y) with respect to x with y held fixed with a value of 4. f,(1, 4) is the rate of change of f(x, y) with respect to y with x held fixed with a value of 0. O f,(1, 4) is the rate of change of f(x, y) with respect to x with y held fixed with a value of 4. f,(1, 4) is the rate of change of f(x, y) with respect to y with x held fixed with a value of 1. O f,(1, 4) is the rate of change of f(x, y) with respect to x with y held fixed with a value of 1. f,(1, 4) is the rate of change of f(x, y) with respect to y with x held fixed with a value of 4. O f,(1, 4) is the rate of change of f(x, y) with respect to x with y held fixed with a value of -39. f,(1, 4) is the rate of change of f(x, y) with respect to y with x held fixed with a value of 2.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
SEE MORE TEXTBOOKS