QUESTION 3 Suppose that you were finding extrema of an objective function f(x) = ||x||, subject to the constraint g(x) = X, + X2 + ... + X,= 42. What is the (1,1) entry of the bordered Hessian: [H], 1?

Q: Find f(x) and g(x) such that h(x) = (f o g)(x) and g(x) = 3- 5x. h(x) = (3 – 5x)³ – 2(3 – 5x)² + 5(3…

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Q: Describe the long run behavior of f(x) = - (x + 4)(x – 5) (x + 2)°: As x → , f(x) → ? As x → 00.…

A: To check the behavior of f(x)

Q: If f(x) = a* + 2, g(æ) = x – 7 and h(x) = Va, then f(g(h(x)))= Preview

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Q: Given the defined function f(x) 2x +8, x 3

A: Explanation of the solution is given below...

Q: The graph of fis shown. Graph f. f' and f" on the same set of coordinate axes. -6-5-4-3 -2 -1₁ 1-2…

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Q: 1 3. If f (x) = 5x – 3, g (x) = x² + 1, h(x) = V2-x and p(x) = . Find a). (f + g)(x) b). Domain of…

A: Note: As per our guidelines we are supposed to answer only four questions if there are multi part…

Q: If f(x) = xª + 2, g(z) = x – 7 and h(x) = /¤, then f(g(h(x)))= Preview

A: We first plug h(x)=sqrt(x)

Q: 1. A quadratic function is defined by f(x) = 2x + 6x - 20. Which of the following expresses f(x) as…

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Q: 10 Aу -10 (3.0) OK (5,0) y = f(x)

A: Given query is to find the solution set for f(x) = 0.

Q: 4. If the function f(x) is defined by f(x) =-6 then which of the following is the value of f(10)?…

A: We solve using substitution

Q: (a) Are the following functions surjective? Justify your answers. (i) The function a : Z→ Z defined…

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Q: The region bounded by f(x) 2x² + 12x + 14, x = = 0 is rotated about the y-axis. Find the volume of…

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Q: 1. If f (x) = 3x + 7, g( x) =(2x- 6)/4 and r (x)=5/x find i. f (g( x)), ii. g( f (x)) , iii. f( r(…

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Q: 8x3+2x Find f(-3) if f(x) : TT T Arial 3 (12pt)

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Q: For a function f(x) = peª + qe¬ª where p and q are non-negative real numbers such that p + q = 1,…

A: Provided function is: f(x)= pex+qe-x , p and q are non-negative real numbers and p+q=1 q=1-p. Value…

Q: Exercise II.5. (a) Which are the following functions (defined from R to R) are convex: (i) f(x) = e…

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Q: (a) If X and Y are independent with p(0) = 0.5, py(1) = 0.3, p(2) = 0.2, and p,(0) = 0.1, p,(1) =…

A: If X and Y are independent then the joint pmf of X and Y is defined as P(x, y) = PX(x).PY(y) for all…

Q: Let_f(x)=(x-1)², g(x)=x², and E= {x:-8≤x≤8}. Find the inverse image (goƒ)¯¹(E).

A: The given functions  and .The aim is to find the inverse image of .

Q: 2. For the given functions f and g, each of the following: (f + g)(x), (f – g)(x), (f · g)(x), and…

A: Given, fx =9x-12x+5  gx = 3x+42x+5  We have to find the value of  f+gx,  f-gx,  f.gx, fgx,     and…

Q: The critical point (s) for is/are: y = f(x) = 4x³ - 30x² +48x+8 a) (-4, f(-4)) and (-1, f(-1)) O b)…

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