Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Test Prep Workbook Update
5th Edition
ISBN: 9780328909148
Author: Prentice Hall
Publisher: Prentice Hall
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Estimate ƒ(−1.02, −0.97) given that ƒ(−1, −1) = 3, ƒx(−1, −1) = −2 and fŋ(−1, −1) = −1.
f(-1.02, -0.97) ≈
A polling firm determines that the percent of likely voters who support a certain mayoral candidate can be represented by a function P(t) where t is measured in weeks since the candidate entered the race. Interpret the given equations, including units.
(a) P(8)=38
(b) P'(8)=6
(a) Choose the correct answer below.
○ A. The percentage of likely voters to support the candidate 8 weeks after entering the race is 38%.
○ B. The percentage of likely voters to support the candidate 38 days after entering the race is 8%.
○ C. The percentage of likely voters to not support the candidate 38 days after entering the race is 8%.
○ D. The percentage of likely voters to not support the candidate 8 weeks after entering the race is 38%.
Let g be the following function that gives the values of y in terms of the values of x.\\\\
g(x) = 12 – 5*.
(a) Use proper function notation to write the formula that gives the average rate of change
of y (w.r.t. x) as x goes from
x = -1 to x = 1.
(b) Calculate (an intermediate step) and simplify the output
g(1);
(c) Calculate (an intermediate step) and simplify the output
g(-1);
(d) Compute the value of average rate of change (described in part a) .
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- The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.arrow_forwardaThe average rate of change of a function f between x=a and x=b is the slope of the ___________ line between (a,f(a)) and (b,f(b)).arrow_forwardWater temperature in a river is being modeled as a function of air temperature. If the degrees of freedom for error is 9, R2 = 0.4, and SSE = 200, if the estimated coefficient of air temperature is 0.8, what is the standard error for the coefficient of air temperature? Please report your answer in 3 decimal places.arrow_forward
- When drugs are administered into the bloodstream, the amount of the drug present decreases continuously at a constant rate. The amount of a certain drug, Xanaz, in the bloodstream is modeled by the function, where is the initial dosage, and t is the time (in hours) after the initial dose was given. The following chart shows the relationship between the original dose and how much is sti in the system after so much time. Xanax (3mg) amount still in system after X hours 2.5 1.5 0.5 2 10 12 14 16 18 20 22 24 Number of hours after dose was taken After how many hours will there be approximately 1/2 of the original dose in the body? 3. 2. 1. Amount still in the system in mg'sarrow_forwardpart b and darrow_forwardIs w = 2² analytical function or not?arrow_forward
- An object was left in a room of unknown surrounding temperature. The temperature of the object was summarized below with respect to the time f (in minutes) the object was initially observed. • When t = 0, the temperature of the object is 23 degrees Celsius. • When t = 10 minutes, the temperature of the object is 27 degrees Celsius. • When t = 20 minutes, the temperature of the object is 30.2 degrees Celsius. In minutes, when will the object have the temperature 40 degrees Celsius? Assume the system obeys Newton's Law of Cooling and the surrounding temperature of the room did not change. Put your answer accurate up to four decimal places. No need to put in the units of measurement.arrow_forwardEe.23.arrow_forwardComplete the table attached in images. After completing the table in part 1 a) above, copy and complete the table below bystating the name of EACH function used and their respective derivatives:arrow_forward
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