A circle with center at the origin and radius of length19 has equation x2 + y2 = 19

Chapter 2, Problem 61

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A circle with center at the origin and radius of length19 has equation x2 + y2 = 19. Graph the circle.(a) Just from looking at the graph, what can you sayabout the slope of the line tangent to the circle at thepoint (0,19)? What about the slope of the tangentat (19, 0)?(b) Estimate the slope of the tangent to the circle at thepoint (2, 15) by graphing the tangent carefullyat that point.(c) Use the result of part (b) and the symmetry of the circleto find slopes of the tangents drawn to the circleat (2,15), (2, 15), and (2,15).

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