Concept explainers
Work these exercises.
Body Temperature During the course of an illness, a patient's temperature (in degrees Fahrenheit) x hours after the start of the illness is given by
Find
Evaluate
b.
c.
d.
Want to see the full answer?
Check out a sample textbook solutionChapter 11 Solutions
MATH W/APPLICAT.W/NOTES GDE +ACCESS CODE
- The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?arrow_forwardAn evergreen nursery usually sells a certain shrub after 8 years of growth and shaping. dh The growth rate during those 8 years is approximated by dt - 2.5t + 5, where t is the time in years and h is the height in centimeters. The seedlings are 15 centimeters tall when planted (+ = 0). How tall are the shrubs when they are sold?arrow_forwardHow do you get the value of t?arrow_forward
- For some positive constant C, a patient's temperature change, T, due to a dose, D, of a drug is given by T=(C/2−D/3)D^2. What dosage maximizes the temperature change? The sensitivity of the body to the drug is defined as dT/dD. What dosage maximizes sensitivity?arrow_forwardUtilities must avoid freezing water pipes. If we assume uniform soil conditions,the temperature T(x, t) at a distance x below the surface and time t after the beginning ofa cold snap is given approximately byT(x, t) − TsTi − Ts=2√πx2√Z αt0e−t2dt .Here Ts is the constant surface temperature during the cold period, Tiis the initial soil temperature before the cold snap, and α is the thermal conductivity of the soil. If x is measuredin meters and t in seconds, then α = 0.138 · 10−6m2/s. Let Ti = 20◦C, and Ts = −20◦C,and recall that water freezes at 0◦C. Determine how deep a water pipe should be buried sothat it will not freeze until at least 60 days exposure under these conditions.arrow_forwardYou remove your pecan pie from the oven and place it on the counter for an hour before serving it. The temperature T in degrees Fahrenheit of pecan pie is modeled by T=f(t) where t is the time in minutes since the pecan pie was put on the counter . Which of the following best describes F’(t)? Negative? Positive? Or =0arrow_forward
- The value v (in dollars) of a fir tree used for lumber in a plantation changes with the age of the tree according to the formula, v(t)=50t/1+.1t, where t is the age of the tree in years. Find the age of a tree that that would be most valuable to be cut if the farmer harvested the trees that are a minimum of 2 years old and a maximum of 8 years old.arrow_forwardThe concentration, y, of a drug in the bloodstream t seconds after injection into a muscle is given byy = 4 e−4t − e−6t for t ≥ 0.The concentration is maximum after t = _____________ seconds.arrow_forwardAnalysis of daily output of a factory shows that, on average, the number of units per hour y produced after t hours of production is y = 24t + 0.5t2 − t3, 0 ≤ t ≤ 5arrow_forward
- Find the copper production (y(t)) when t = 1 up to t = 3!arrow_forwardThe concentration C of a drug in a patient's bloodstream t hours after injection is given by C(t) = 2t/6+t2. What happens to the concentration of the drug as t increases? As t → ∞, C(t) →arrow_forward(İt's a Numerical analysis question) Coefficients that satisfy the equation y = xa ebx using the values in the table below a) Calculate a and barrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning