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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 me...
Suppose you are climbing a hill whose shape is given by the equation z = 1600...
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...
Suppose you are climbing a hill whose shape is given by the equation below
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...
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...
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...
3. Suppose that you are climbing a hill whose shape is given by the equation z=1000...
3. Suppose that you are climbing a hill whose shape is given by the equation z=1000 - 0.01x-0.02y?, and you are standing at a point with coordinates (60, 100,764). In which direction should you proceed initially in order to reach the top of the hill fastest? 4. Find and classify all critical points of the function h(x,y) = 223+73 - 3x2 - 12. - 3y. Use the second derivative test when appropriate.
(9 points) Consider the bowl-shaped paraboloid z = f(x, y) = 4 + x2 + 3y2....
(9 points) Consider the bowl-shaped paraboloid z = f(x, y) = 4 + x2 + 3y2. (a) If you are located on the paraboloid at the point (2, - *), in which direction should you move in order to ascend on the surface at the maximum rate? What is the rate of change? (b) If you are located at the point (2, -), in which direction should you move in order to descend on the surface at the maximum rate?...
Problem 3. (1 point) The temperature at a point (X,Y,Z) is given by T(x, y, z)...
Problem 3. (1 point) The temperature at a point (X,Y,Z) is given by T(x, y, z) = 200e-x=y+14–2–19, where T is measured in degrees Celsius and x,y, and z in meters. There are lots of places to make silly errors in this problem; just try to keep track of what needs to be a unit vector. Find the rate of change of the temperature at the point (-1, 1,-1) in the direction toward the point (-4,-5, -5). In which direction...
The position of a particle moving along the x axis is given by x= 6.0.-1.0p, where...
The position of a particle moving along the x axis is given by x= 6.0.-1.0p, where x is in meters and ria seconds. What is the position of the particle when it achieves its maximum speed in the positive x direction? a. 32m b. 12m c. 16 m d. 24 m c. 2.0m 12. 13. The position of a particle moving along the x axis is given by x (21 +221-6.0)m, where t is in s. What is the average...
Name of All Group members Section At the end of this activity you will be able...
Name of All Group members Section At the end of this activity you will be able to: a. Add and Subtract vectors b. Resolve vectors into horizontal and vertical components c. Apply vector components to solve kinematic problems. Rank the magnitudes of the vectors from greatest to least. If two or more vectors have the same magnitude, the sequence in which you list them does not matter. 7Least Greatest 1 2 3 , 4 2. List all of the vectors...
1.12 marks Suppose the measurements of ore lode in a deposit of gold are described by the func- L(x,y,z)-(10 32-y - 3y +0.4ry), where z is the vertical coordinate, with z = 0 at the surface and z...
1.12 marks Suppose the measurements of ore lode in a deposit of gold are described by the func- L(x,y,z)-(10 32-y - 3y +0.4ry), where z is the vertical coordinate, with z = 0 at the surface and z < 0 being below ground. The tion (z+3)2 distances are measured in tens of metres (a) Draw contours of the function at a depth of z-3. Use Matlab, Octave or similar. You might like to include the range [x,y] E (-5,5) (b)...
PLEASE DO LETTER d.) PLEASE DO LETTER f.) The plane from e.) is 4(x-2)+6(y-1)+(z-1)=0 or 4x+6y+z=15...
PLEASE DO LETTER d.)
PLEASE DO LETTER f.)
The plane from e.) is 4(x-2)+6(y-1)+(z-1)=0 or 4x+6y+z=15
15. The temperature on an unevenly heated metal plate positioned in the first quadrant of the xy-plane is given by 25xy + 25 C(x, y) = 7 (x - 1)2 + (y - 1)2 +1° Assume that temperature is measured in degrees Celsius and that x and y are each measured in inches. (Note: At no point in the following questions should you expand...
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...
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...
3. Suppose that you are climbing a hill whose shape is given by the equation z=1000 - 0.01x-0.02y?, and you are standing at a point with coordinates (60, 100,764). In which direction should you proceed initially in order to reach the top of the hill fastest? 4. Find and classify all critical points of the function h(x,y) = 223+73 - 3x2 - 12. - 3y. Use the second derivative test when appropriate.
(9 points) Consider the bowl-shaped paraboloid z = f(x, y) = 4 + x2 + 3y2. (a) If you are located on the paraboloid at the point (2, - *), in which direction should you move in order to ascend on the surface at the maximum rate? What is the rate of change? (b) If you are located at the point (2, -), in which direction should you move in order to descend on the surface at the maximum rate?...
Problem 3. (1 point) The temperature at a point (X,Y,Z) is given by T(x, y, z) = 200e-x=y+14–2–19, where T is measured in degrees Celsius and x,y, and z in meters. There are lots of places to make silly errors in this problem; just try to keep track of what needs to be a unit vector. Find the rate of change of the temperature at the point (-1, 1,-1) in the direction toward the point (-4,-5, -5). In which direction...
The position of a particle moving along the x axis is given by x= 6.0.-1.0p, where x is in meters and ria seconds. What is the position of the particle when it achieves its maximum speed in the positive x direction? a. 32m b. 12m c. 16 m d. 24 m c. 2.0m 12. 13. The position of a particle moving along the x axis is given by x (21 +221-6.0)m, where t is in s. What is the average...
Name of All Group members Section At the end of this activity you will be able to: a. Add and Subtract vectors b. Resolve vectors into horizontal and vertical components c. Apply vector components to solve kinematic problems. Rank the magnitudes of the vectors from greatest to least. If two or more vectors have the same magnitude, the sequence in which you list them does not matter. 7Least Greatest 1 2 3 , 4 2. List all of the vectors...
1.12 marks Suppose the measurements of ore lode in a deposit of gold are described by the func- L(x,y,z)-(10 32-y - 3y +0.4ry), where z is the vertical coordinate, with z = 0 at the surface and z < 0 being below ground. The tion (z+3)2 distances are measured in tens of metres (a) Draw contours of the function at a depth of z-3. Use Matlab, Octave or similar. You might like to include the range [x,y] E (-5,5) (b)...
PLEASE DO LETTER d.)
PLEASE DO LETTER f.)
The plane from e.) is 4(x-2)+6(y-1)+(z-1)=0 or 4x+6y+z=15
15. The temperature on an unevenly heated metal plate positioned in the first quadrant of the xy-plane is given by 25xy + 25 C(x, y) = 7 (x - 1)2 + (y - 1)2 +1° Assume that temperature is measured in degrees Celsius and that x and y are each measured in inches. (Note: At no point in the following questions should you expand...
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