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EXAMPLE 6 Slopes of tangent lines Find for the following curves. Interpret the dx result and determine the points (if any) at which the curve has a horizontal or a vertical tangent line. a. x = f(t) = 1, y = g(t) = 2Vi, for t > 0 b. x = f(t) = 4 cos t, y = g(t) = 16 sin t, for 0 < t < 27

EXAMPLE 6 Slopes of tangent lines Find for the following curves. Interpret the dx result and determine the points (if any) at which the curve has a horizontal or a vertical tangent line. a. x = f(t) = 1, y = g(t) = 2Vi, for t > 0 b. x = f(t) = 4 cos t, y = g(t) = 16 sin t, for 0 < t < 27

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.4: Trigonometric Functions Of Any Angle
Problem 99E
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EXAMPLE 6 Slopes of tangent lines Find for the following curves. Interpret the dx result and determine the points (if any) at which the curve has a horizontal or a vertical tangent line. a. x = f(t) = 1, y = g(t) = 2Vi, for t > 0 b. x = f(t) = 4 cos t, y = g(t) = 16 sin t, for 0 < t < 27
Transcribed Image Text:EXAMPLE 6 Slopes of tangent lines Find for the following curves. Interpret the dx result and determine the points (if any) at which the curve has a horizontal or a vertical tangent line. a. x = f(t) = 1, y = g(t) = 2Vi, for t > 0 b. x = f(t) = 4 cos t, y = g(t) = 16 sin t, for 0 < t < 27
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