mid2k - MIDTERM 2 MATH 126 Last name first name Section...

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Unformatted text preview: MIDTERM 2 MATH 126 Last name, first name: Section: Student number: Signature: Please do not start working until instructed to do so. You have 50 minutes. Please show your work. Scientific, but not graphing calculators are OK. You may use one 8.5 by 11 sheet of handwritten notes. Problem 1. Problem 2. Problem 3. Problem 4. Problem 5. Total. Problem 1. (7 points total) Consider the curve x = t 2 , y = t 3 from t = 0 to t = 2. a. (4 points) Find the length of the curve. b. (3 points) Set up the integral that gives the surface area found by rotating this curve about the x-axis. Your integral should only involve the parameter t (no x or y ). Do not evaluate the integral. Problem 2. (12 points) Let f ( x, y ) = 1 + x sin( y- x ). a. (4 points) Find the following partial derivatives: f x , f y , f yy , f yx . b. (4 points) Find the equation of the plane tangent to the graph of f ( x, y ) at the point (2 , 2 , 1)....
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mid2k - MIDTERM 2 MATH 126 Last name first name Section...

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