MATH 126 Midterm: MATH 126 UW Midterm 2 Winter 15rothvossExIIans
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Cd 12:30-1:20 by ru-yu a exercise possible score. All other electronic devices (including graphing calculators) are forbidden: unless otherwise indicated, your answers should be exact instead of dec- 4 is an exact answer and is preferable imal approximations. For example to its decimal approximation 0. 78: unless otherwise indicated, show your work and justify all your answers, do not use scratch paper! Do your scratch work at the bottom of the page or on the back side of the preceding sheet. 3y2z3 = 2 determines a surface in r3. Find the tangent plane to the surface at the point (1, 2, 1). Solution: we consider z(x, y) as a function of x, y. Then around the point (1, 2, 1), the function z(x, y) is determined by the equation. 3y2z(x, y)3 = 2. xy z(x, y) + 2x2y2. Taking partial derivatives on both sides of the equation, we obtain yz + xyzx + 4xy2 yz + 4xy2.
