Explain why the function is differentiable at the given point. f(x, y) = 1 + x ln(xy − 5), (2, 3) The partial derivatives are fx(x, y) = and fy(x, y) = , so fx(2, 3) = and fy(2, 3) = . Both fx and fy are continuous functions for xy > and f is differentiable at (2, 3). Find the linearization L(x, y) of f(x, y) at (2, 3). L(x, y) =

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

7

step-by-step explanation:

the answer would be 7

congruent segments

step-by-step explanation:

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.