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Problem Solving. res-eas.- Read the given problems carefully and answer what is being asked. 1. In an outdoor activity during math camp, a group of
Problem Solving. res-eas.- Read the given problems carefully and answer what is being asked. 1. In an outdoor activity during math camp, a group of students needs to solve a given task but because of unfortunate event, their given problem looks like this... . Do you think, it is possible that the youp answer the given problem correctly? 2. A piece of broken conical object was dug up in an archaeological site. The archeologist managed to derive an equation (16:3 + Fyz + 961' + 14y + 39 = D) describing the shape of the object. What conics does the object looks like? 3. s classmate claims that 213 4x + 2y! + Ey 15 = I] is anellipse. Is she correct? Explain your answer. [Ill IDENTIFYING THE DEBEHERATE CDHICB 1. Under certain conditions, the general equation, A13 + By\" + C3: + By + E = I], has no graph or it represents a point or one or two lines, which are known as degenerate conics. 2. Degenerate ellipse or circle may be a single point, or an empty set. 3. A degenerate parabola may be a single line. 4. A degenerate hyperbola may be two intersecting lines. 5. After transforming a given general equation to standard form, we can identify its graph either as one of the degenerate conics or one of the nondegenerate conics. 1f _________________________________________ 5. f s A Note on Identifying a Genie Section by Its General Equation *- Azer transforming a given equation to standard form, we can identify its graph either as one of the degenerate conic sections [a point, two intersecting lines, or the empty set] or as one of the non degenerate conic sections (circle, parabola, ellipse, or hyperbola]
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