Suppose the point (4, -2) lies on y = g(x) and the point (4, 5) lies on y = f[g(x)]. Then a point on y = f(x) must be %3D %D %3D O(-2, 5) O (4, -2) O (5, 4) O (5. -2)

Q: Find the critical number for y = f(x) = x (x + 2)²

A: NOTE: Refresh your page if you can't see any equations. . the given function is take derivative…

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Q: 22. The function f(x) = Vx – 6 is transformed according to (x, y) → (7x – 7, - y+1). the transformed…

A: Substitute fx for y in the transformation and simplify. x,y=x,f(x)→7x-7,-f(x)+1=7x-7,-x-6+1

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Q: Find the critical numbers of the function f(x) = 2x3 - 15x2 + 36x - 24. O a. -2 and 3 O b. 2 and 3 O…

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Q: 3x, +3x, +2x; +1 MaxZ = 2x, +.x, +x; +1 S.t. 2.x, +5x, +x; < 2 X +2x, +3.x; < 3

A: We compare the given fractional linear programming problem by the standard fractional linear…

Q: 12. f(x, y) = x' – 2x – y + 4y, P = (1, 2). -

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Q: If f(3) 12 and f '(x) 2 1 for 3 sxs 7, how small can f(7) possibly be? Enhanced Feedback

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Q: # 13) Find two positive numbers x and y for which 2x +y = 30 such that xy² is maximized.

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Q: Find the critical numbers of the function. F(x) = x A/5(x – 6)² %3!

A: At critical points or critical numbers of a function F(x), the first derivative F'(x)=0.

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A: follow next step

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A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Suppose ff is differentiable on (-\infty,\infty)(−∞,∞), f(3)=12f(3)=12, and f'(3)=-2f′(3)=−2. Use…

A: Given that,  Function f is differentiable on (−∞,∞), f(3)=12, and f'(3)=-2. The linearization of f…

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Q: Q2// Find the optimal point from th nathematical model (by Big-M methods) xZ-150 x+110x)+280 x; x3…

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Q: Find the critical point of f (x, y) = 3x² + xy - 5x + y°, and determine its nature.

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Q: Specifically a differential equations problem. Question in pic below. The first "Select" is either…

A: Here, f1(x)=ex+3 and f2(x)=ex-4

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A: Given: The function y=-x2+2x-2, To find: The critical point of the given function.

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Q: Find the critical numbers of the function f(x) = 2x3 -15x2 + 36x - 24. O a -2 and 3 O b. 2 and 3 O…

A: As per guidelines we are bound to solve first question only... Thank you

Q: f (х, у) %3D у3 + 3x2у - 6х2 6y2 + 2 function is given. a)Find your critical points of f. b)Find all…

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Q: Differentiate y = In(x³ + e*) .2 3x+eX А. x3+e-X 3x2-ex В. x3 +e-X 3x2-e-x C. x3-e-X 3x2-e-x D.…

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Q: The function y== In (3z - 2) satisfies the IVP: (3z – 2)°y" + 9 = 0, y(1) = 0, y'(1) = 8. Select one…

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Q: Xxy-Z = Gauss eleminatin %3D 2X -y42=5 -x +2y+23 or

A: We have to solve given problem:

Q: g(x) = 2x-4x a Asx 0, g(x)→-∞. As x-0, g(x)→-0. %3D C. Asx , g(x)→∞. As x-0, g(x)→. b. Asx 0, g(x) →…

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Q: س 1: أختر الاجاية الصحيحة لمجال ومدى الدالة 4 - f(x( = x2 ثم اختر الرسم البياني الصحيح؟ Dr = R & Rf…

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Q: Jy > -x² + 6x – 12 ly -x² + 6x – 12 ly>x² - 4x – 1 Sy -x² + 6x – 12 Lyzx? - 4x – 1 Syx² – 4x – 1…

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Q: .2 f(x, y, z) = 4xy – 8xyz + 7yz² f,(x. y, z) = &xy– 8yz fy(x, y, z) = | 4x- - 8x2 f.(x, y, z) =…

A: To find the first partial derivatives of: f(x,y,z)=4x2y-8xyz+7yz2

Q: A. Homo geneous Higher Ordered LDE 1. (D5 - 1204 + 520D3 - 112D² + 192D - 256)y- O

A: Solution

Q: 1. f(x) = x² – 4x + 1 at point (0,1) 2. f(x) = x³ + 2 at point (1,3) 3. f(x) = 2x* + 3x³ – 2x + 7 at…

A: Given : The functions and the points.

Q: 4. y=6-ax-x", y = x+l6, about the a %3D | yaxis

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Q: 3x3+y² x²+y² .2 (x, y) ± (0; 0), ,2 ) f (x, y) = 1, (x, y) = (0; 0).

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Q: Determine all critical points for the function. 3 12x 2 Ox= -2 Ox=-2, x = 0. and x = 2 Ox= 2 Ox= -2…

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Q: 8. Use the fact that the critical points of f(x, y) are found when vf(x,y) = 0 to show that (-3,-2)…

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Q: The function h(x)=In(x² +c) is concave up on the interval (-4,4) and concave down on the intervals…

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Q: If y=2x²-4, what is its inverse? or Oy¹--√2 Dy^--, DOIN such that xs-4 such that x2-4 such that x20…

A: Given, y=2x2-4 To find the inverse, we need to swap the variables 'x' &amp; 'y' x=2y2-4 Now solve…

Q: The point (0, 0) is the critical point of the function f(x, y) = Select one: O True O False x²y 2 +…

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Q: 3. show that (-3,-2) is a critical point of f(x, y) = x³+3x² - 9x + y - 12y. Use the fact that the…

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Q: 6. Differentiate: y x2 + 3x – 1 x²+1 -(x²+1) В. А. x²+3x-1 (x²+3x-1)2 -x2+1 x2-1 С. (x²+3x-1)2 D.…

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Q: Find the DOMAIN of 8z-24r-320x f (x) = 7z+28z2-315z Section 3.4 O + -5, 9 O+0,-5, 8 Ox+0,-5, 9 O…

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Q: Find the critical numbers of the function F(x) = x/5(x - 9)²

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Q: 6 Find the critical numbers of the function f(x) = x5 - * – 12x2 .

A: The given function is  fx=x65-12x12.

Q: Find the critical numbers of the function of f(x) = (x^3)/3 −16x

A: Given function is : fx=x33-16x To find the critical number of point.

Q: The critical points of the function f (x, y) = 1 – x² + 6x – y + 8y2 are - O a) (3,0) and (-3,0) O…

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Q: 2. Find all critical numbers for the function: g(x) = x/2x +1 B. 0. ÷.글 1 1 А. - - | 2 3 2 c. - D.…

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Q: find a point c satisfying the conclusion of the MVT for the given function and interval y = x−1, [2,…

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Q: In Exercises 7–10, determine from its graph if the function is one-to-one.

A: Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…

Q: Find the values of a, y and z that correspond to the critical point of the function f(r, y) = 5x² –…

A: Given function fx,y=5x2-4x+8y+3y2

Q: Find the critical numbers of the function f(x) = 2x -15x2 +36x- 24. O a. -2 and -3 O b. 2 and-3 O c.…

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