Finding an Equation of a Tangent Line In Exercises 59-62, (a) find an equation of the tangent line to the graph of the function at the given point, (b) use a graphing utility to graph the function and its tangent line at the point, and (c) use the tangent feature of a graphing utility to confirm your results.
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Chapter 3 Solutions
Calculus: Early Transcendental Functions (MindTap Course List)
- True or False? In Exercises 69 and 70, determine whether the statement is true or false. Justify your answer. A cofunction identity can transform a tangent function into a cosecant function.arrow_forwardTangent lines Find an equation of the line tangent to the curve at the point corresponding to the given value of t. x = cos t + t sin t, y = sin t - t cos t; t = π/4arrow_forwardFinding an Equation of a Tangent Line In Exercises49–52, use implicit differentiation to find an equation of thetangent line to the graph at the given point. 50. x2 + xy + y2 = 4, (2, 0)arrow_forward
- Simple Harmonic Motion In Exercises 45-48, find a model for simple harmonic motion satisfying the specified conditions. Displacementt=0AmplitudePeriod 03meters6secondsarrow_forwardEvaluating Sine, Cosine, and Tangent In Exercises 13-22, evaluate (if possible) the sine, cosine, and tangent at the real number. t=4arrow_forward
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning