Which of the following are critical points of f(, y) = xy? – x + 8y+1. Select all that apply. (0, 0) (4, -1) O (4, 4) O (4, 1) O (-1, 1) O (-1, 8)

Q: x = -3 is a critical number of the function f(x) = (x – 3)(x + 3)². Select one: O True O False

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Q: Suppose that f(x, y) = 6x²y² + 4x² + 4y² then find the discriminant of f.

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Q: The function f (x, y) = x² + xy - x + y² + 7y+29 has exactly one critical point. What is it?…

A: Given that the function fx,y =x2 +xy-x+y2+7y+29    .

Q: Let f:(-1,1)→ R. f(x) = (2n)! 4" (n!) ² (2n+1) -x2n+1 and f(x) = f (x), xe (-1,1). Find f n=0 -…

A: Given Information:a) ;; .b) ; .To find:The value of  in both the sequence of functions.Concept…

Q: Let f(z) = 4r- 12x +7 then f(r) is decreasing on Select one: O a (-00, -1), [12, o0) Ob [1,0) O…

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Q: Determine the global extreme values of the f(x, y) = 12x - 2y if y ≥ x − 6, y ≥ −x − 6, y ≤ 6. (Use…

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Q: Find the critical numbers of the functions. a) f(x) — х2 + 4х b) f(x) — х3 —7x? — 5х с) f(x) 3 2x3 -…

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Q: Determine the global extreme values of the f(x, y) = 9x - 4y if y ≥ x - 5, y ≥ -x - 5, y ≤ 7. (Use…

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Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: The Domain of f (x) = V1 – x is 1. [-1, 0) 2. (-∞, 1] 3. (-0, 1) 4. [1, c0)

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Q: The interval on which f(x) = 5 – 12x2 – 4x³ is concave up is: (-∞, –1) © (-1, 00) O (-0, 1) • (1,00)

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Q: The interval on which f(x) = 3 – 2x – 12x² – x³ is | - concave down is: O (-4, 0) O (-∞, 4) O (4,…

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Q: x = 3 is a critical number of the function f(x) = (x+ 3)(x - 3)2. Select one: True O False

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Q: -2 Suppose f(x) = f(x) dx Evaluate: A - In (2) B - 4 3 16 D In (2)

A: Solution... Answer is.  Option..(B)

Q: 2x 10) Consider f(x) = 3-4 on the interval [2,6. Find the maximum and minimum values of f(x on the…

A: The given function is,

Q: Which one is one of the critical points of the function f(x, y) = 2x + 2y + 8x - 4y + 11? Select…

A: Solution is given below:

Q: xercise II.2. let F(): R² R³ and G(): R² R² be given by (fi(x)) f2(x) f3(x)) F(x) = (iii) f3 and ere…

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Q: (x + 3)³ 12 16 11 f(x) Consider the function 4(х — 1)2 4 1 (x – 1)2 4. Note that - (x – 9)(x + 3)²…

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Q: 1. Find the following for the function f(x, y) = 3x³y² - 5x + 26y - 9. a. f(1,2)= b. fy(x, y) = c.…

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Q: 5 What is the derivative of5a2 + 10x + ? A None of the given choices B 10x + 10 + 3x2 10a4 + 10a³ –…

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Q: (a) Develop a first-order method for approximating f" (x) which uses the data f(1 - 5h), f (z – 3h),…

A: Please check step 2 for the solution.!

Q: Determine a potential function to evaluate (F*dR for C any path from the first point to the second.…

A: Given:F=3x2(y2−4y)i^+(2x3y−4x3)j^​Two points: (x1, y1) = (-1, 1)(x2, y2) = (2, 3)To determine a…

Q: Prove the following identities. sin 3x v 3 sin x - 4 sin cSC X - 2 sin 3 sec x - 4 sin

A: Given query is to prove the identity.

Q: The range of the function f(x, y) = 6 – /4 – 2² – y?is O [4, 6] O [4, 0) 0 (-0, 4] 0(-0, 6| O (6,…

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Q: Let f(x) = 2x – 3 and g(x) = 4x², then f(g(x)) = Select one: Оа. 3 — 8х2 оБ. 8х2 — 3 O c. 8x2 + 3 O…

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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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