Let f be a differentiable function satisfying the condition: f(x) for all x, y (#0) eR and f(y) 0. f(y) If f'(1) = 2, Find f (x).

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 the values of a and b that makes f continous everywhere if  f(x) =

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Q: Show that the function f(z)= Im(z) is nowhere differentiable.

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Q: Let f (x, y) and g(x, y) be functions of two variables withthe property that ∂ f/∂x= ∂g/∂x and ∂…

A: Given: f(x, y)  and g(x, y) be functions of two variables with the property that ∂g∂x = ∂g∂x and…

Q: Let f(z) = 11 – z f (z) =

A: To write the inverse of the function y = f(x), we need to rewrite the terms such that we could write…

Q: Let f(x) be a differentiable function. Explain why it is possible that f'(c)=0 for a function but…

A: Let f(x) be a differentiable function.

Q: Find f, (x.y) if f(x.y)=x - 5xy- 4y2.

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

A:

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

A: Given : fx,y = exlny

Q: Determine if f(x) is differentiable at x = 0 if

A: We will find out the required solution.

Q: 2 dz dz dz ds dt dz dy

A:

Q: determine the most general function M(x, y) or N(x, y) so that equation is exact.

A: We have to find M(x, y) Or N(x, y).

Q: Draw the level curve for z = f(x, y) for each of the values listed below. Label each level curve…

A: Equating 2x2-y = z Equating with the values of z we can draw the graph for each function

Q: Let f(x, y) : = x/Y Evaluate f(3, 4)

A: We need to evaluate f(3,4) To evaluate we need to plug in 3 for x  and 4 for y

Q: Let f(x, y) = e"r³ Evaluate f(3, 0)

A: The function of two variables  x and y will be of the form,   The function value of this kind of…

Q: Find y as a function of a if y(1)=2, y(1) = 1. y = r²y" + 7xy +9y = 25,

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Q: Determine the expression for F(x, y, z) given the function F(x, y, z) = 2x²y = xz² + 3y²z.

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Q: The function f(x,y)=/26-2x²-y² is continuou at point (2,-3). .A False .B True

A: Givenfx,y=26-x2-y2

Q: X+Z+3Siny X +2y-2

A: