Let y = f(x) be defined parametrically as y=t+tt, x = 2t -t, te R. Find f(x) and discuss its differentiability.

Q: Find the local extreme values of the function: f(x,y)=xy-x^2-y^2-3x-3y+12.

A: It is given that, fx,y=xy-x2-y2-3x-3y+12We have to find the local extreme values.

Q: Find all analytic functions f = u + iv with u(x, y) = x² - y². Simplify the expression f(2) as much…

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Q: Identify and sketch the domain of f(x, y) = y² + 4x + 2 In(1-x² - y²)

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Q: b) Find the slope of the function f(x) = VI+1at point (15,4).

A: The slope of  f(x) at a point (a,b) or x=a and f(a)=b is given by, df(x)dxx=a or f'(a)

Q: What curve is described by the function (t) = (2t + 3) + i(t - 5), 0 ≤ t ≤ 1

A: Step:-1 Given parametric function is ft =2t +3 +i t-5,  0≤t≤1 Here,  x=2t +3  ---(1)y=t-5  ---(2)…

Q: I what interval is y = 3x5 - 5x³ y=3x55x3 concave downward?

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Q: Find f-(-1,1) of the function: f(x, y) = x + xy +2a°y?

A: Let's find.

Q: Assume that y is a function of x. Find (d2y)/(dx2) for x2y-y2-2(sqrt x)+4=0 at point (1,2) 7/6 8/6…

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Q: What does is mean for two functions f(x) and g(x) to be orthogonal

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Q: F(x,y)=xy+3 find and sketch the domain

A: our objective is to find and sketch the domain of  F(x,y)=xy+3.

Q: Consumer A’s utility function is UA(x1,x2)=min(2x1,x2). Consumer B’s utility function is…

A: Given that - Consumer A’s utility function is UA(x1,x2)=min(2x1,x2). Consumer B’s utility function…

Q: f(x) = xª -4 and Perpendicular to the line x - 4y + 1= 0.

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Q: Find values of a and c such that the tangent to y = ax2 + 12x + c is horizontal at the point (2,5)

A: Tangent is horizontal where derivative is zero

Q: Let f(x) = x2. Give an equation of the line that intersects the graph of f(x) at x = 0 and x = V2.

A: Given data:     The given function is: f(x)=x2. The first value of x is: x1=0. The second value of x…

Q: Let f (2) = 1 Find all the points where f (2)is analytic. z + 3

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Q: Sketch the domain of f(x, y) = √4x² - y² x - y² on the ry-plane.

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Q: Find an analytic function (or functions) if 2 Ref(z) = x²= y² + 2x and fli) = 2i - 1

A: f(z)=z2+2zExplanation:Thank you?

Q: Find the analytic function if the imaginary part is (2xy + 5y) where u (0,0) = 0

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Q: A competitive firm's profit is given by 7(x,, x2) = 95(4x2 + 6x)- 4.75x,- 15x,. %3D The stationary…

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Q: Find an sketch the domain of f(x,y)= 16x² – x² –4y². -

A: Given that fx,y=16x2-x2-4y2 To determine the domain of the function. fx,y is only defined for…

Q: Find and classify the extreme point of the function f(x, y) 3y2x + x³ - 3y3 - 3x? + 2.

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Q: Let y = f(x) be defined parametrically as y = f + as y=t+tt, x = 2t -tl, te R. Find f(x) and discuss…

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Q: Wallis is seated on the line tangent to y=4-3x-x2 at the point (2, -6).

A: wallis is seated on the line  tangent to curve   y=4-3x-x2   at point 2,-6

Q: Use the sign pattern for the derivative dƒ/ dx = 6(x - 1)(x - 2)^2(x - 3)^3(x - 4)^4 to identify the…

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