Since fy(x, y) = x², find f(x, y). f(x, y) = + g(y)

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 f, (x.y) and f, (x,y). Then, find f, (1,-3) and f,(-1,- 2). f(x,y) = - 5xy + 2y +6

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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: Let f(x,y) = 2* + 7xy, find f(0, – 3), f(- 3,2), and f(3,2). f(0, – 3) = (Simplify your answer.) f(-…

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Q: Calculate fx (1, 3) and fy (1, 3) for f (x, y) = √(7x + y^2).

A: For a function of two variables, partial derivative with respect to one variable is calculated by…

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

A: Let's find.

Q: Find ƒx and ƒy when ƒ(x, y) = y8 + 2x6 + 2xy.

A: Given f(x,y)=y8+2x6+2xy For finding fx differentiate f(x,y) with respect to x fy differentiate…

Q: Given f(x, y) = 2x³ – 3xy – y³, find fxx(x, y) = fay(x, y) =

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Q: For the function f(x,y) = 7x² + 6y², find f(x + h,y)-f(x,y) = h f(x+h,y)-f(x,y) h

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Q: Find f, and f, for f(x, y) = 10(9x – 8y+ 12)°. fx(Xx.y) = f,(x.y) D

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Q: Find the line integral of F along the parabola y = x² from the origin to (4, 16).

A: Using green's theorem.

Q: Find fzzz for f(x, y) = x²y².

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Q: If f(x, y) = V + y3, find fy(0, 5).

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Q: Find ƒxx ( x, y)  and ƒxy( x, y). ƒ(x, y) = 4x2e2y

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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: f(x) = V5 + v6x. Find f '(x).

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Q: find a function f for x>0 so that f(x,y)=yf(x)+yf(x)

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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: Find fyx for f(x,y)=exln(y)

A: Given : fx,y = exlny

Q: Find f, (8,2) if f(x.y) = e* - 5y.

A: We can find the answer as below

Q: )

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Q: Sketch the graph of the function and compare it to the contour map. (If an answer does not exist,…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.