Question: i need real example for this work Now that we have worked with partial derivatives and their applications, this activity will focus on using partial

i need real example for this work
Now that we have worked with partial derivatives and their applications, this activity will focus on using partial derivatives as a tool to predict and interact with the world around you. 1. First, find a location outside somewhere that is not flat (i.e., a hill, street, or something else that is curved and sloped). 2. Take a picture of this location, and if you are able, try to use editing software to indicate the precise point in your picture where you will be doing this activity 3. Next, use a ruler, yardstick, or other device to try and approximate the change in height in two directions. Pick a direction to call x and estimate the change in the elevation z for an increase of one loot in x Then, in a direction that is 90 degrees counterclockwise representing y. do the same thing. 4. Explain the significance of the two values you determined, and then use them to find an approximate equation of a tangent plane at this point (you may assume your starting point is the origin for convenience) 5. Finally, say that you were going to walk in the -direction; would your path be initially ascending, descending, or stay at the same elevation? Use your previous answers to explain your reasoning Now that we have worked with partial derivatives and their applications, this activity will focus on using partial derivatives as a tool to predict and interact with the world around you. 1. First, find a location outside somewhere that is not flat (i.e., a hill, street, or something else that is curved and sloped). 2. Take a picture of this location, and if you are able, try to use editing software to indicate the precise point in your picture where you will be doing this activity 3. Next, use a ruler, yardstick, or other device to try and approximate the change in height in two directions. Pick a direction to call x and estimate the change in the elevation z for an increase of one loot in x Then, in a direction that is 90 degrees counterclockwise representing y. do the same thing. 4. Explain the significance of the two values you determined, and then use them to find an approximate equation of a tangent plane at this point (you may assume your starting point is the origin for convenience) 5. Finally, say that you were going to walk in the -direction; would your path be initially ascending, descending, or stay at the same elevation? Use your previous answers to explain your reasoning
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