Math 126 - Build a surface project

Math 126 - Build a surface project - graph. Your model can...

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Build a Surface Project Select one of the three functions given below. You will construct a 3-D model of its graph. Your model can be constructed out of any materials you want – for example, you could use clay, paper, wire, fabric, or Styrofoam. Your surface needs to have the following features clearly (and correctly) labeled: 1. The x -, y -, and z -axes. 2. Locations of all absolute minimum and absolute maximum points. 3. Locations of all local maximum, minimum, or saddle points. Carefully write up all your work, justifying all your answers, and hand it in with your model. You may use a computer to help you (but I won’t be able to help you use the computer). Here are the functions to choose from: ( 29 2 2 4 , . y x e e y x f A - - + = , for –2 ≤ x ≤ 2 and –2 ≤ y ≤ 2. ( 29 ( 29 y x y x y x f B + + + = sin sin sin , . , for 0 ≤ x ≤ 2π and 0 ≤ y ≤ 2π. ( 29 2 2 2 3 2 , . y x xy x y x f C - - - = , for –3 ≤ x ≤ 3 and –3 ≤ y ≤ 3 Build a Surface Project Select one of the three functions given below. You will construct a 3-D model of its
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Unformatted text preview: graph. Your model can be constructed out of any materials you want for example, you could use clay, paper, wire, fabric, or Styrofoam. Your surface needs to have the following features clearly (and correctly) labeled: 1. The x-, y-, and z-axes. 2. Locations of all absolute minimum and absolute maximum points. 3. Locations of all local maximum, minimum, or saddle points. Carefully write up all your work, justifying all your answers, and hand it in with your model. You may use a computer to help you (but I wont be able to help you use the computer). Here are the functions to choose from: ( 29 2 2 4 , . y x e e y x f A--+ = , for 2 x 2 and 2 y 2. ( 29 ( 29 y x y x y x f B + + + = sin sin sin , . , for 0 x 2 and 0 y 2. ( 29 2 2 2 3 2 , . y x xy x y x f C---= , for 3 x 3 and 3 y 3...
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