Evaluate the function at the given values of the independent variables. Simplify the results. f(x, y) = 6x + y² (b) f(x + Ax, y) = f(x, y) , Ax = 0 f(x, y + Ay) - f(x, y) Ay

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A: We use substitution method to solve these integration

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Q: √x² + y² - 4 y-2 Find and sketch the domain of f. Let f(x,y) =

A: The given function is:                                                      fx,y=x2+y2-4y-2

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Q: Find and provide a sketch of the domain of the function 2 y2 f(r, y) = 9. 4.

A: Given,  f( x,y)=1−x29−y24 To Find: Domain and sketch of the given function.

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Q: If f(x) = 2 + 3x – 4x², determine the value of the dependent variable f(5) – f(3). Show your work.

A: We can solve the problem by putting the value 5 and 3 in the given function.

Q: Use the table below to fill in the missing values. f(x) 6 2 4 5 9 X 0 1 2 3 456 789 f(7) = O 7 1 8 3…

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Q: Give the domain of the function. 2x7y - x 6x - Y

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Q: 2 Suppose y is a function of x such that y * and y(4) = -3. Find y. |

A: The differential equation is given by y' = 2x                                   .......(1) Initial…

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Q: 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy= - 2y = 0

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Q: Let f(x, y) = x²-2 y.(y+4)

A: We can compute the determinant.