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True of False: Any polynomial of even degree with a real root has at least two distinct real roots. Explain your answer. Determine whether the statement below is true or false. The equation \sin \theta = 2 has a real solution that can be found using a calculator. _...
Find the real solutions (if any) of each of the following (express theta in radians): (a) 3 sin theta - 4 cos theta = 2 (b) 4 sin theta + 3 cos theta = 6 (c) 12 sin theta - 5 cos theta = -6 Approximate, to the nearest...
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Using a graph, solutions are approximately y=-1.526, 0.259, and 1.267. (Alternatively, we could have used a calculator or a CAS to find these roots. ) We have x^2=2 y ⇒ x=± √(2 y), so y=-1.526 gives no real-valued solution for x, but y=0.259 ⇒ x ≈± 0.720 and ...
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