(part 3 of 4) (iii) Determine fxx + fyy for the function f. 2(x + y − 14) 1. (fxx+ fyy)(x, y) 2. (fxx + fyy) (x, y) = 2(x+y+2) 3. (fxx+ fyy)(x, y) = = 2(x + y + 14)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
(part 3 of 4)
(iii) Determine fxx + fyy for the function f.
1. (fxx+ fyy)(x, y)
2. (fxx + fyy) (x, y) = 2(x+y+2)
3. (fxx+ fyy)(x, y)
2.
4. (fax + fyy) (x, y)
5. (fxx+fyy) (x, y) = x+y+2
=
4. fxy(x, y)
=
5. fxy(x, y)
(part 4 of 4)
(iv) Determine fay for the function f.
1. fxy(x, y) = 2x + 2y - 2
=
2(x + y − 14)
=
=
2(x + y + 14)
fxy(x, y) = 2x + 2y - 18
3. fay(x, y) = 2x + y - 18
x + y + 14
2x + 2y + 18
x + 2y − 2
Transcribed Image Text:(part 3 of 4) (iii) Determine fxx + fyy for the function f. 1. (fxx+ fyy)(x, y) 2. (fxx + fyy) (x, y) = 2(x+y+2) 3. (fxx+ fyy)(x, y) 2. 4. (fax + fyy) (x, y) 5. (fxx+fyy) (x, y) = x+y+2 = 4. fxy(x, y) = 5. fxy(x, y) (part 4 of 4) (iv) Determine fay for the function f. 1. fxy(x, y) = 2x + 2y - 2 = 2(x + y − 14) = = 2(x + y + 14) fxy(x, y) = 2x + 2y - 18 3. fay(x, y) = 2x + y - 18 x + y + 14 2x + 2y + 18 x + 2y − 2
(part 1 of 4)
A function f is defined by
f(x, y) = (x+8) (y-6)(x + y − 4).
-
(i) Determine fx for the function f.
1. fx(x,y)
(x + 8) (x - 2y + 4)
2. fz(x, y)
3. fx(x,y)
4. f(x,y)
5. fx(x, y)
1. fy(x, y)
2. fy(x, y)
=
3. fy(x, y)
-
=
=
=
(part 2 of 4)
(ii) Determine fy for the function f.
=
=
=
(y + 8) (2x + y +12)
(x − 6) (x + 2y — 10)
=
(y − 6)(2x − y + 12)
(y − 6) (2x + y + 4)
(y − 6) (2x + y − 10)
(y +6)(2x + y + 4)
(x + 8) (x + 2y — 10)
-
4. fy(x, y) = (x + 8) (x + 2y + 2)
5. fy(x, y)
(x − 6) (x – 2y — 10)
Transcribed Image Text:(part 1 of 4) A function f is defined by f(x, y) = (x+8) (y-6)(x + y − 4). - (i) Determine fx for the function f. 1. fx(x,y) (x + 8) (x - 2y + 4) 2. fz(x, y) 3. fx(x,y) 4. f(x,y) 5. fx(x, y) 1. fy(x, y) 2. fy(x, y) = 3. fy(x, y) - = = = (part 2 of 4) (ii) Determine fy for the function f. = = = (y + 8) (2x + y +12) (x − 6) (x + 2y — 10) = (y − 6)(2x − y + 12) (y − 6) (2x + y + 4) (y − 6) (2x + y − 10) (y +6)(2x + y + 4) (x + 8) (x + 2y — 10) - 4. fy(x, y) = (x + 8) (x + 2y + 2) 5. fy(x, y) (x − 6) (x – 2y — 10)
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