F5 f(x) = V16 x2 approximate the instantaneous slope at: A : (-1, v15) secant...
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F5 f(x) = V16 – x2 approximate the instantaneous slope at: A : (-1, v15) secant slope from the left: secant slope from the right: f(x) Ay f(x) Ay -1.5 3.708099 0.3298 -0.5 3.9686 0.1913 -1.05 3.8597 0.2651 -0.95 3.8856 0.2513 -1.005 3.8717 0.2589 -0.995 3.8743 0.2575 Notes: Your answers must be given as decimal approximations. When completing the table, make sure your answers are accurate to at least 4 decimal places. • Be careful when computing the slope, you may need more than 4 decimal places for the y-coordinate in order for the slope to achieve the required accuracy. Estimate the instantaneous slope of f(x) at A Using your computations above, estimate the instantaneous slope of f(x) at (-1, v15): • In other words, are the secant slopes approaching a specific value? Estimate that value. Hint: F5 f(x) = V16 – x2 approximate the instantaneous slope at: A : (-1, v15) secant slope from the left: secant slope from the right: f(x) Ay f(x) Ay -1.5 3.708099 0.3298 -0.5 3.9686 0.1913 -1.05 3.8597 0.2651 -0.95 3.8856 0.2513 -1.005 3.8717 0.2589 -0.995 3.8743 0.2575 Notes: Your answers must be given as decimal approximations. When completing the table, make sure your answers are accurate to at least 4 decimal places. • Be careful when computing the slope, you may need more than 4 decimal places for the y-coordinate in order for the slope to achieve the required accuracy. Estimate the instantaneous slope of f(x) at A Using your computations above, estimate the instantaneous slope of f(x) at (-1, v15): • In other words, are the secant slopes approaching a specific value? Estimate that value. Hint:
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i Instantaneous Slope at any point for a given curve y fx is given by differentiating the equation a... View the full answer
Related Book For
Modeling the Dynamics of Life Calculus and Probability for Life Scientists
ISBN: 978-0840064189
3rd edition
Authors: Frederick R. Adler
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