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Download Math 232 Practice Exam #1 1. Graph the ellipse 4x2 + 9y2 = 36
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Transcript
Math 232 Practice Exam #1 1. Graph the ellipse 4x2 + 9y 2 = 36. Label vertices and foci. 2. Find an equation for the tangent line to the curve given parametrically by x = t3 − et , y = ln t + t at the point where t = 2. 3. Find the area of the triangle with vertices P (1, 2, 3), Q(2, 3, 1) and R(3, 1, 2). 4. Set up, but do not evaluate, an integral to compute the area of one leaf of the rose r = 2 sin(2θ). Include a sketch of the curve. 5. Describe the surface given by the equation r = z in cylindrical coordinates. 6. Find the distance from the point P (1, 2, 3) to the plane given by x − 3y + 7z = 4. 1
