F(x, y) = (1 − e¯¤x)(1 – е¯³µ), for x ≥ 0, y ≥ 0 and a, ß > 0.

Q: f(x)= x2/5 Where it concave up/down?

A: To find the concavity of the given function.

Q: If f(x,y)=xe/2,+37x?y3, then dx²əy³ at (1,1) is equal to

A:

Q: f(x y, z) = x2 - 8y5 + z -4. Find (-3, 1, 5) for O a 1 O b -4 10 O d -5

A:

Q: Suppose that 2x² - y² = t² and x = t cos 0. Find (a). ¹(2), X and 0

A: answer is in next step

Q: For f(x, y, z) = x² - y² + z², find f(2, -1, 4).

A:

Q: g(x,y) = sq root of (5xy - 3x) find gx and g

A:

Q: For the function z = - 8x³ - 2y² - 2xy, find a z(1,-2), andz(1,-2). dz dz a ax' dy ax

A:

Q: If z varies direct to the square of y and y varies inverse to x (x,y,x) = (20,120,100) Then find the…

A: z varies directly to the square of y, so z=my2 y varies inversely to x, so, y=nx Therefore,…

Q: Normalize (z) = 3f2(x) +2f3(x). You can think of functions being 0 beyond the [0, L] interval, where…

A: Simple Linear Scaling:If f2(x) and f3(x) are linear functions that map the [0, L] interval to [a, b]…

Q: aff (² Find (3x + 2y)dA where D = {(x, y) | x² + y² ≤ 25, x ≥ 0}

A:

Q: Find a local linear approximation for the function f(x)=2x+8/x−2 valid for x near 3  2x+8/x−2≈

A: Linear Approximation: The formula for the local linear approximation of a function fx is given by,…

Q: Given f(x, y) = 2x4 - 3xy³ - y, find fz(x, y) = fy(x, y) =

A:

Q: If f(x, y) = x³y + 9xy“, find the following. f(x, у) əx? |(1, 1)

A: