Consider the function: f (x,y) = 2x² - 4x - xy² + 2y² - 3. Explain and then use the chain rule for small changes to estimate the change in f that occurs when (x,y) changes from (0,1) to (0.01, 0.99).

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: Use a linear function to approximate the value of the ∛400 with work.

A: The formula of linear approximation is f(a)+f'(a)(x-a)

Q: Use the variable u for the inside function to express each of the following as a composite function.…

A: The given functions, a) y=5t2-34 b) P=11e-0.4 t c) C=6 lnq6+4. We have to write each of the function…

Q: Determine the nature of the stationary points of the function in the following case: f(x,y) = (x2 +…

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Q: The graph of the linear function f(x) passes through the point (x, y) = (1, m), where m is the slope…

A: Given:Graph of f(x) passes through the point (x, y) = (1, m), where m is the slope of the line.

Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.…

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Q: Consider a function with three variables a, b, c s.t f(a,b, c) = 2abc – a²b +c²b³c Find fa (a, b,…

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Q: Sketch the graph of the function f (x, y) = 10 – 4x – 5y.

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Q: Find the intersection  point of f (y) with x-axis.

A: Given the function f(y) .We need to find the point of intersection of f(y) with x-axis.

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

A: Let's find.

Q: The annual vehicle sales for Toyota and Volkswagen can be modeled by the functions T(t) = 0.103t+…

A: We need to find year when no. of cars will be same.

Q: What is the y-intercept of y = Vx+1+3? Explain using transformations of this function from the…

A: Given that  y=√(x+1) +3 To find the Y-intercept of y

Q: Find the linear function f(x) passing through (6,8) and (8,10) Enter answer in form…

A: Explanation of the answer is as follows

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

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Q: the piece wise linear function f(x) is shown to the right.

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: If they exist, find the x-intercept(s) of the function f(x)= 3 0(0,00 O O (1,0) O(-11,0), (110)…

A: The function is given by fx = x2-115-x To determine: the x-intercepts.

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: How do you linearize a function ƒ(x, y) of two independent variables at a point (x0, y0)? Why might…

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Q: Let Y;. Yz. --.. Y, denote a random sample from the probability density function e , y20, 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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