NC2.14.5.5Question HelpFind the gradient of the function f(x,y)= 4x + 2y at the point (- 1,4). Then sketch the gradient together with the level curve that passes through thepoint.(-1,4) -i+(Type integers or simplified fractions.)The function at the givenPoli(8,n value of the directional deteld of f.Enter your answer in the edit fields and then click Check Answer1 partremainingdlear AllCheck Answerpe here to search12ENG

Given that, f(x,y) =4x+2y and point (-1, 4). To find the gradient of the function f(x,y) at a given…

Answered: 4.5.5 Question Help Find the gradient…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section: Chapter Questions

Problem 7T

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bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
Later High School Graduates This is a continuation of Exercise 16. The following table shows the number, in millions, graduating from high school in the United States in the given year. Year Number graduating in millions 2001 2.85 2003 2.98 2005 3.11 2007 3.24 a. Find the slope of the linear function modeling high school graduations, and explain in practical terms the meaning of the slope. b. Find a formula for a linear function that models these data. c. Express, using functional notation, the number graduating from high school in 2008, and then calculate the value. d. The actual number graduating from high school in 1994 was about 2.52 million. Compare this with the value given by the formula in part b and with your answer to part of Exercise 16. Which is closer to the actual value? In general terms, what was the trend in high school graduations from 1985 to 2007? 16. High School Graduates The following table shows the number, in millions, graduating from high school in the United States in the given year.16 Year Number graduating in millions 1985 2.83 1987 2.65 1989 2.47 1991 2.29 a. By calculating difference, show that these data can be modeled using a linear function. b. What is the slope for the linear function modeling high school graduations? Explain in practical terms the meaning of the slope. c. Find a formula for a linear function that models these data. d. Express, using functional notation, the number graduating from high school in 1994, and then use your formula from part c to calculate that value.
Graph f(x)=2x10. Picka set of5 ordered pairs using inputs x=2,1,5,6,9 and use linear regression to verify the function.

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4.5.5 Question Help Find the gradient of the function f(x,y) = 4x + 2y at the point (- 1,4). Then sketch the gradient together with the level curve that passes through the point. Vil(-1,4) =i+ (Type integers or simplified fractions.)