Describe the domain and range of the function.F(x, y) = 6x² – y%3DDomain:{(x, y): x 2{(x, v): x + 0, y ± 0}o {tx, n): x 2 0, y z 0}O{(x, y): x is any real number, y is any real numberRange:z + 0z 2 0all real numbersz 2 6Oz> 0

f(x,y) =6x2-y Domain = x,y: x is any real number, y is any real number

Answered: Describe the domain and range of the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 36E

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Find fxx, fxy and fyy for the function (1+x+y)e-xy f(x, y) Select one: a. = None of these b. fxx = (−2y + y² + x²y+y³ ) e¯xy, fxy = (−1 − 3x − 3y + xy + x²y + xy²)e-xy, (−2x + x² + xy² + x³ ) e¯xy¸ fyy d. fxx fyy = c. fxx = (−2y + y² + xy² +y³)e¯xy, fxy=(−1 − 2x − 2y + xy + x²y + xy²)e¯xy, fyy = (−2x + x² + x²y + x³ ) e¯xy = = (−2y + y² + x²y + y³ ) e¯xy, (−2x + x² + xy² + x³) e-xy, e. fxx = (-2y + y² fay=(-1-2x - 2y + xy + x²y + xy² ) e¯xy, 9 + xy² + y³ )e¯xy, fxy=(-1-3x − 3y + xy + x²y + xy²)e¯xy, fyy = (-2x + x² + x²y + x³) e¯xy¸ O O O
Consider the function 2² + 2x +1 y = r2 +1 a) Show that the domain of this function is a €R. b) Find the points where the function y = f(x) intersects the r-axis and the y-axis. c) Show that dy 2 – 212 %3D dr (포2 + 1)2' and dy 4r(r2 – 3) (교2+ 1)3 %3D dr? d) Locate and classify the critical points of the function y = f(x). e) Locate any inflection points of the function y = f(x). f) Find the limits of the function y = f(r) as r→ too. g) Using your results from Parts a to f, draw a sketch of the function y = f(x), clearly indicating the r- and y-intercepts, any critical points and inflection points, and its behaviour for x+ t0o.

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Describe the domain and range of the function. F(x, y) = 6x2 – y