2. Let us define a. Verify that f(x, y) = c. Now consider the function git Similarly, consider the function g2 af y(x² - y² + 4x²y²) (x² + y²)² dr b. Argue by symmetry that we must have af ду = xy(x² - y²) x² + y² = r(x² - y² - 4x²y²) (x² + y²)² f(0, t). Differentiate this with respect to t to find fry (0,0). s fy(s, 0) and use it to find fyr(0,0).

Q: Which of the following is the reciprocal of a linear function? O a) f(x) = b) f(x). = 6 2x + 1 1 x²…

A:

Q: - h)? + k: a). f(x) = 2x² –12x+11; b) y = -r+x+:

A:

Q: Find the domain and b) Sketch the domain of f(x, y)= In(4x² – y) -5 -2 -1 3 4 5 x

A:

Q: 11) For the function f(x)x+3 a) Find f(1) and f(m +6) b) Find the domain

A: We have been given a function and we are supposed evaluate its value for the given value/expression…

Q: Determine and graph the domain of the function: f(x,y) = ev- + In(5x² + 7vZy² – v2) |

A:

Q: 5. Let f(x) = 2x³-x² +7, find: a) ƒ(2) b) f(-5) c) f(a)

A: “Since you have posted multiple questions with multiple sub parts,we will provide the solution only…

Q: - Given the functions f(x) = x² + 1and g(x) = 3 − x, determine an equation for the combined function…

A:

Q: 2. Sketch the domain of the following functions: a) f(x, y) = b) f(x, y, z)= 2-x-y - eª %2 In(4-x² -…

A:

Q: 10. Differentiate each function. a) y= -3x² + 4x- 5 b) f(x)=6x-1- 5x-2 ) flx)= 4\x d) y= (3x² –…

A:

Q: Let S be the part of the graph of the function x² + y² that lies above the disk x² + y² ≤ 4. What is…

A: The surface is the part of z=x2+y2:

Q: Write the domain in interval notation. 3) y (t)=√√√8-t 4) f(x) = x - 4 x-5

A:

Q: 4. Find the eigenvalues and eigenvectors of the following matrices. State thealgebraic and geometric…

A:

Q: h. By completing the square, re-express fx,y (x, y) in the form fx,y(x, y) = e-(ax-by)² e-cy², Where…

A: Suppose X and Y are jointly distributed with pdf  where .