a.You are standing above the point (5,1) on the surface z=30-(2x^2+y^2) In which direction should you walk to descend...
Suppose you are climbing a hill whose shape is given by the equation z = 1400-0.005x-0.01, where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 1366). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? ascend descend At what rate? vertical meters per horizontal meter (b) If you walk northwest, will you start to...
Suppose you are climbing a hill whose shape is given by the equation z = 1600 - 0.005x2 - 0.01y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (120, 80, 1464). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? O ascend descend At what rate? vertical meters per horizontal meter (b) If you walk...
The concentration of salt in a fluid at (x,y,z) is given by F(x,y,z)=x^2+y^4+2x^2z^2 mg/cm3 You are at the point (1,1,1). a. In which direction should you move if you want the concentration to increase the fastest? b. You start to move in the direction you found in part (a) at a speed of 4 cm/sec. How fast is the concentration changing?
The concentration of salt in a fluid at (x,y,z) is given by F(x,y,z)=x^2+y^4+2x^2z^2 mg/cm3 You are at the point (1,1,1). a. In which direction should you move if you want the concentration to increase the fastest? I keep getting <5,2,8> for this answer and it says it is incorrect You start to move in the direction you found in part (a) at a speed of 4 cm/sec. How fast is the concentration changing?
help.. 7. 67 points I Previaus Arawers SCacET8 146034 25 Submissions Used My Notes Ask Your Taachs Suppose you are climbing a hill whoss shape Is gven by the aquation-900-0.00x -o.oly. whera x, y, and z are measured in metons, and you are standing at a point with coordinatos (120, 80, 764). Tha positive -axls points east and tha poaitive y-axls point (a) If you walk dua south, will you start to ascand or descand? O ascent descend At what...
Suppose you are climbing a hill whose shape is given by the equation below, where x, y, and z are measured in meters, and you are standing at a point with coordinates(60, 40, 1666). The positive x-axis points east and the positive y-axis points north.(a) If you walk due south, will you start to ascend or descend?ascenddescendAt what rate?___________(b) If you walk northwest, will you start to ascend or descend?ascenddescendAt what rate? (Round the answer to two decimal places.)_____________(c) In...
(8pts) Find the rate of change if you walk on the surface from your current position toward the poink (1) Start- you are currently standing on a the point on the surface with ingut (2.,3) LA (b) (8pts) Find a vector that points in the direction of greatest rate of change of fCx. y). Also find the direction of this vecton an angle to the nearest degree. Also find the magnitude of the greatest rate of change of (x.y) (c)...
The concentration of salt in a fluid at (x,y,z) is given by F(x,y,z) = x6 + y3 + x2z2 mg/cm3. Suppose you are at the point (−1, 1, 1). (a) In which direction should you move if you want the concentration to increase the fastest? Give your answer as a vector. (b) You start to move in the direction you found in part (a) at a speed of 7 units/sec. How fast is the concentration changing? Give an exact answer.
Consider the surface given as a graph of the function g(x, y) = x∗y 2 ∗cos(y). The gradient of g represents the direction in which g increases the fastest. Notice that this is the direction in the xy plane corresponding to the steepest slope up the surface, with magnitude equal to the slope in that direction. 1. At the point (2, π), find the gradient, and explain what it means. 2. Use it to construct a vector in the tangent...
Please give the answer symbolically, thank you. The temperature at a point (x, y, z) is given by T(x, y, z) = 102-3x2 – 3y2 – 222 In which direction does the temperature increase fastest at the point (3, 1, 4)? Express your answer as a UNIT vector.