Consider the function f(x,y) = x² - 4y² -9 and the point (-1,1). a. Find the unit vectors that give the direction of steepest ascent and steepest descent at P. b. Find a vector that points in a direction of no change in the function at P. a. What is the unit vector in the direction of steepest ascent at P? (Type exact answers, using radicals as needed.) What is the unit vector in the direction of steepest descent at P? 10. (Type exact answers, using radicals as needed.) b. Which of the following vectors is in a direction of no change of the function at P? OA. (2,-8) OB. (8,2) OC. (-2,8) D. (8,-2)

Consider the function f(x,y) = x² - 4y² -9 and the point (-1,1). a. Find the unit vectors that give the direction of steepest ascent and steepest descent at P. b. Find a vector that points in a direction of no change in the function at P. a. What is the unit vector in the direction of steepest ascent at P? (Type exact answers, using radicals as needed.) What is the unit vector in the direction of steepest descent at P? 10. (Type exact answers, using radicals as needed.) b. Which of the following vectors is in a direction of no change of the function at P? OA. (2,-8) OB. (8,2) OC. (-2,8) D. (8,-2)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

See similar textbooks