Determine (A) 2-2y B) 2-2x f(x, y): {t(2-x)(1-3) 06-2,0 ≤ y ≤1 elsewhere Marginal fy (y)

Q: If z = x + jy, then O Check whether the function f(z) : 1 is an entire function. State the reasons.…

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Q: (lx) +3, x≤-3 Q4) Check the continuity of f(x) = -2x -3<x<3 " (6x + 2, x ≥ 3

A: To check the continuity of given function,

Q: Joshua wants to find the local maxium and minima of the two variable function F(x, y) = x³ +y² – 48…

A: We will find out the required points.

Q: Determine the local min/max or saddle points of f(x, y) = x^2 + 2y^2 − 4x + 4y + 6 and make sure you…

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Q: The function of two variables f(x,y)=(y-2) x^2-y^2 has: A local min. at (0, 0) A saddle point at (0,…

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Q: The weekly revenue realized by a company is approximated by the revenue function R(x, y) = 550x +…

A: The weekly revenue realized by a company is approximated by the revenue function R(x, y) = 550x +…

Q: Determine if f(x) = x4sin(1/x3) is uniform contuinius in the interval f : (0,∞) --> R

A: Some facts related to uniform continuity of function: A  function f is uniformly continuous on…

Q: 1. Given f(x, y) = x' + y* find and ax?' dy' axðy дудх 2. Find whether the function F = (r² – y' )i…

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Q: find the critics (local max, lo cal min) Of the function f(xcy)= -x5+ Dy3+27x-24y+3

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Q: express the extreme value theorem for functions of two variables . find the absolute maximum and…

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Q: find the local extrema for the following function  f(x,y)= x^2 +y^2+xy-7x+4y+9

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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: a) f(x,y) = x³ + y³ + y(3x²y+ 3ry²) b) f(x,y) = x² + iy³

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Q: .. Find the absolute extrema of the function with its corresponding constrain. a) f(x, y) = x² - y²;…

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Q: 3. If f is the function given by f(x) = -x³ + x² + 3x-2, name the open interval where the graph of f…

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Q: 15. For f (x) = x ^ 3 -12x + 10 the interval where f (x) is concave downward is: A. (0, ) b. (-00,…

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Q: ind the absolute maximum and minimum values of f(x,y) = {(x, y) : y ≥ x², y ≤ 4}. = 3x² + 2y² - 4y…

A: Solution :  To find the absolute maximum and minimum values of f(x, y) = 3x ^ 2 + 2y ^ 2 - 4y on the…

Q: Can the level surface x^2 + y^2 + z^2 − 5 = 0 be expressed as the graph of a function f(x, y)?

A: Level surface isif possible then we have to express as it the graph of a function f(x, y).

Q: f(x.y)= arccos( x² + y² - 3)+ In(x² +y° -3) Which of the following is the domain of function (0)…

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Q: 2. Let f(x) be a function with domain (00, -00) and f'(x) = 2x3+3x²-36r. Find the intervals where…

A: Step 1:Step 2: Step 3: Step 4:

Q: The graph of f"(x) , the second derivative of f, is shown below. If the point (2, f(2)) is a…

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Q: The demand for ACME Q-bits is given by the function q = f(Y,p), where %3D

A: Given: A current  monthly income Y=$5300 ; price p=$44 ; q=31. And, δqδY=0.82 ; δqδp=0.52

Q: Find the absolite marima and minima points between [o,u] gf y : * + 2dx' sunchion is porsbl.

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Q: Q3) State the approximation for a differentiable function f(x): (a) V51 (b) V123 (c) (33)

A: (a) 51 Linear approximation is obtained as Lx=fa+f'ax-a Consider the function fa=a. On…