The critical points of the function f (x, y) = 1 – x² + 6x – y + 8y2are|O a) (3,0) and (–3,0)b) None of theseO c) (3,0), (3, 2) and (3, –2)O d) (-3, 0), (–3, 2) and (-3, –2)

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Answered: The critical points of the function f…

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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isn't it that D = fxxfyy - (fxy)2 so the working function should be D = -(2x+2)2 D(0, 2) = -(2(0)+2)2 = -4 D(-2, 2) = -(2(-2)+2)2 = -4
3. Find (f-g)(x) if f(x) = 22 +x+1 and g(x) = x - r – 1. O (f 9)(x) = 4 + 23 +3x2 +2x +1 O 4- 9)(z) = * + 2² + 2z + 1 O (f-9)(x) = a – a² – 2x – 1 O(f 9) (x) = a4 – 22-3x2- 2x – 1 Type here to search
7. f(x) = (x+ 3)(x – 5)(x – 2)(x + 6) -
The critical point (s) for is/are: 2 y = f(x) = 4x³ - 30x² +48x+8 Oa) (-4, f(-4)) and (-1, f(-1)) Ob) (4, f(4)) and (-1, f(-1)) Oc) (-4, f(-4)) and (1, f(1)) d) (4, f(4)) and (1, ƒ(1)) e) None of the above
) Find f(−5), f(−1), f(0), f(1), f(3), and f(5) for y = f(x)
Find + g)(x) if f(x) = V16a4 and g() = 3x? – 3x – 5. (f + 9)(x) = a? + 3æ + 5 O (f + 9)(x) = 3x2 + a – 5 (f + g)(x) = 7x² – 3x – 5 O (f + g)(x) = -3x? + 7æ + 5
3) Do the following operations of functions. a) b) g(n) = n² + 4 + 2n h(n) = -3n + 2 Find (g - h)(1) h(1) = 21 + 1 g(1) = 21 + 2 Find (h – g)(t) c) d) f(n) = n – 5 g(n)= 4n +2 Find (f + g)( – 8) fа) -- 2а - 4 g(a) = a² + 3 Find ( f /g )(7)
If f(2) =z²+1 then u(x,y) = x²+y? O x² – y² +1o x2+y²-10 x² – y? O
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The critical points of the function f (x, y) = 1 – x² + 6x – y + 8y2 are - O a) (3,0) and (-3,0) O b) None of these O C) (3,0), (3, 2) and (3, -2) O d) (-3, 0), (–3, 2) and (-3, -2)