No it is not a graded assignment, its a review question but i only have the final answer not the working or explanation 1(#7) Here are the level sets (contours) for f(x, y)100.500-0.5z=1(x²+y²)(a) Evaluate which contour corresponds towhich value of k?(b) There are 3 points on the positive y-axis.Do the gradient vectors point up or downat those points?(c) Which of the three gradient vectorsshould be the longest in magnitude?Why? (Aside from the algebraic value...)-1.0-1.0-0.50.005

# Given function: f(x,y)=x2+y21 The level sets (contours) are given by: f(x,y)=k⇒x2+y21=kwhich…

Answered: 1 (#7) Here are the level sets…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 92E

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Similar questions

Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
Calculate the gradient
2. Calculate the gradient vector Vf of the function f (x, y) = x² – x + y - x²y - 2y2 at the point (2,1) and sketch it on the attached contour plot (you can save the picture, open in photo editor and use drawing tools). Explain in one paragraph (about 200-300 words) the meaning of the gradient vector Vf(2,1), negative gradient vector -Vf(2,1).
Give the coordinates of X-intercept for the line y = 2(x – 1) +7. |Hide hint for Question 1 Be sure to fill in the blank with the coordinates of the x-intercept in the form (a, b). Use a space after the comma!
b) Find the two points (0,a), (0,b), a
Suppose f (x, y) = , P = (-2, -1) and v = 2i - 4j. A. Find the gradient of f. (Vƒ)(x, y) =i+j Note: Your answers should be expressions of x and y; e.g. "3x - 4y" B. Find the gradient of f at the point P. (Vf) (P) =i+j Note: Your answers should be numbers C. Find the directional derivative of f at P in the direction of v. (Duf)(P) = Note: Your answer should be a number D. Find the maximum rate of change of f at P. Note: Your answer should be a number E. Find the (unit) direction vector w in which the maximum rate of change occurs at P. W i+ j Note: Your answers should be numbers
B A' A is the point (3, 1). Bis the point (a, 11). The gradient of AB is 5/2 -1 2 O 7
I would need help with a, b, and c as mention below. (a) Find the gradient of f.(b) Evaluate the gradient at the point P.(c) Find the rate of change of f at P in the direction of the vector u.

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