Explain why the function is differentiable at the given point. f(x, y) = 4 + x ln(xy − 9), (5, 2) The partial derivatives are fx(x, y) = Correct: Your answer is correct. and fy(x, y) = Correct: Your answer is correct. , so fx(5, 2) = 10 Correct: Your answer is correct. and fy(5, 2) = 25 Correct: Your answer is correct. . Both fx and fy are continuous functions for xy > Incorrect: Your answer is incorrect. and f is differentiable at (5, 2). Find the linearization L(x, y) of f(x, y) at (5, 2). L(x, y) =

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation:

company a

step-by-step explanation:

using the linear regression models , it is found that company a   pays about $14 more. but using the same regression (linear) company b pays about $10 more.

so company a pays more than b