Alice and Wyatt depart Alice's house at the same time. Alice drives due North at 30...

   

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Alice and Wyatt depart Alice's house at the same time. Alice drives due North at 30 mph and Wyatt drives due East at 40 mph. One hour later, Alice will be 30 miles due north of the house, and Wyatt will be 40 miles due east of the house. At what rate is the distance between Alice and Wyatt changing at this time? Diagrams are included below for your convenience. You are NOT required to use them. Dynamic Diagram Static Diagram Evaluate each of the following integrals using any technique from class: (a) / (324 3 3 + + +ex dx 24 (b) re31 dr 16. (8 points) For the function f(x, y) = x2 + xe29, evaluate the following partial derivatives: af af (b) (c) 2 2 f (d) Alice and Wyatt depart Alice's house at the same time. Alice drives due North at 30 mph and Wyatt drives due East at 40 mph. One hour later, Alice will be 30 miles due north of the house, and Wyatt will be 40 miles due east of the house. At what rate is the distance between Alice and Wyatt changing at this time? Diagrams are included below for your convenience. You are NOT required to use them. Dynamic Diagram Static Diagram Evaluate each of the following integrals using any technique from class: (a) / (324 3 3 + + +ex dx 24 (b) re31 dr 16. (8 points) For the function f(x, y) = x2 + xe29, evaluate the following partial derivatives: af af (b) (c) 2 2 f (d)