Concept explainers
Health The temperature T (in degrees Fahrenheit) of a person during an illness can be modeled by the equation
(a) Use a graphing utility to graph the function. Be sure to choose an appropriate window.
(b) Do the slopes of the tangent lines appear to be positive or negative? What does this tell you?
(c) Evaluate the function for
(d) Find dT/dt and explain its meaning in this situation.
(e) Evaluate dT/dt for
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Calculus: An Applied Approach (MindTap Course List)
- YOUR TURN For the graph of f(x)=x2x, a find the equation of the secant line through the points where x=2 and x=1, and b find the equation of the tangent line at x=2.arrow_forwardTemperature The graph shows the temperature in degrees Celsius as a function of the altitude h in feet when an inversion layer is over Southern California. See Exercise 43 in the previous section. Estimate and interpret the derivatives of T(h) at the marked points.arrow_forward
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