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Modeling with Tangent Function. Model the given data by using the function
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Precalculus: A Unit Circle Approach (3rd Edition)
- For a person at rest, the velocity v (in liters per second) of airflow during a respiratory cycle (the time from the beginning of one breath to the beginning of the next) is modeled by v=0.85sint/3, where t is the time (in seconds). a Find the time for one full respiratory cycle. b Find the number of cycles per minute. c Sketch the graph of the velocity function. Use the graph to confirm your answer in part a by finding two times when new breaths begin. (Inhalation occurs when v0, and exhalation occurs when v0.)arrow_forwardPls help ASAP and pls show all steps and calculations.arrow_forwardOutside temperature over a day can be modelled as a sinusoidal function. Suppose you know the temperature varies between 49 and 71 degrees during the day and the average daily temperature first occurs at 12 AM. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t. D(t) =arrow_forward
- space provided. _1. Which is the process of using implicit differentiation? A. Derive with respect to x, derive with respect to y, solve. B. Derive with respect to x, collect dy/dx on one side, solve. C. Change form to explicit, derive with respect to y, simplify. D. Change form to explicit, derive with respect to x, solvearrow_forwardSketch x = 1/y.arrow_forwardfind the derivativearrow_forward
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