2. (4 pts.) Which of the following are the level curve graphs for f(x,y)=et-y ? :...
Problem #7: Which of the following are level curves for the function f(x, y) = ln(x – y?)? (A) (B) y y 1 .X (C) (D) y (E) (F) y . .x (G) .X Problem #7: Select
6. The intersection of the graphs of f(x, y) = 5x’y + 4e** andz - 64 is a level curve of the function f. Which of the following vectors is perpendicular to this level curve at the point (2,3,64) ? a)15î – 34) b) 45e +7 c)37î - e"; d)18î +5ſ e) 71 - 37
thank you Problem #4: Which of the following are level curves for the function f(x,y)-ino-e-r ) ? 1 Problem #4: Which of the following are level curves for the function f(x,y)-ino-e-r ) ? 1
4. (8 pts.) The level curves of z = = f (x, y) are given along with the constraint curve g(x, y)= 8 9(x, y) = 8 40 50 60 70 0 30 20 10 a. Maximize and minimize f on the constraint. b. Label the point where the maximum occurs as A and the point where the minimum occurs as B. c. Sketch in the approximate vectors Vf and Vg at the points A and B.
f 2. Figure 10 shows a constraint 9 (x, y) = 0 and the level curves of a function f. In each case, determine whether has a local minimum, a local maximum, or neither at the labeled point. 4 3 2 Vf Vf 4 3 2 А B g(x, y) = 0 g(x, y) = 0 Rogawski et al., Multivariable Calculus, 4e, © 2019 W. H. Freeman and Company FIGURE 10
5. These are the level curves of a smoothly varying function f(x, y) 4 (a) At P is fx positive or negative? Why? (b) At P is fxx positive or negative? Why? (c) Sketch Vf at P and Q on the level curve f(x, y) = 3. 5. These are the level curves of a smoothly varying function f(x, y) 4 (a) At P is fx positive or negative? Why? (b) At P is fxx positive or negative? Why? (c)...
final study guide, please help 1.) Sketch the indicated level curves of the following functions. 0, z = 2, and z = 4 level curves of f(x,y)-хуз. The z =-2, z ). log025 (x + y2 2 level curves of h(x,y) -1,2-0, z-, 1, and z ii. The z ii. The z7, z 4,z 3, z 2, and z1 level curves of g(x.y) +3 1.) Sketch the indicated level curves of the following functions. 0, z = 2, and z...
28, 36, 38, 40, 41 15.1 Graphs and Level Curves 927 (a) Figure 15.18 SECTION 15.1 EXERCISES 10. Katie and Zeke are standing on the surface above D(1,0). Katie hikes on the surface above the level curve containing D(1,0) o B(2.1) and Zeke walks cast along the surface to E(2. 0). What can Getting Started y-y dentify the independent 1. A function is defined by and dependent variables. be said about the elevations of Katie and Zeke during their hikes?...
Please explain (2 pts) Find a function F(x, y) whose level curves are solutions to the differential equation (x2 + 4xy)dx + xdy = 0 F(x, y) =
Problem #2: Use the given graphs to sketch the parametric curve x =f(0, y=g(1). х=f(t) y=g(t) A m KA (А) (В) о (D) у х 1 0 2 х E) (F) ТО -1 о 2 (Н) 2 -2 2 х Problem #2: Select