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) =

Anyone? 15m is what percent of 60m; 3m; 30m; 1.5 km?

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

Select the correct answer from each drop-down menu. a system of equations and its solution are given below. system a complete the sentences to explain what steps were followed to obtain the system of equations below. system b to get system b, the equation in system a was replaced by the sum of that equation and times the equation. the solution to system b the same as the solution to system a.]