Naturalists find that the populations of some kinds of predatory animals vary periodically. Assume that the population of foxes in a certain forest varies sinusoidally with time. Records started being kept when time t = 0 years. A minimum number of foxes, 200 foxes, occurred when t = 2.9 years. The next maximum, 800 foxes, occurred at t = 5.1 years. Researchers used this data to construct a function to model the population, p, as a function of time, t. The function they created is: :) + 500. P = 300 sin р 5л 11 -t 20л 11 Foxes are declared to be an endangered species when their population drops below 300. At what time t > 0 were the foxes first endangered? Round to the nearest tenth of a year. The foxes are never going to be endangered. 6.7 years 2.3 years 3.5 years

A function of the form P(t)=ab^t represents the population (in millions) of the given country  t years after January 1,2000.

Is (x^6)*cosax a even or odd function?

You are told that g is a one-to-one function with values g(8) = -2 and g(3) = -9. Which of the following must be true? Select all correct answers. Select all that apply: O g-'(-9) = 8 O g-'(3) = 9 O g'(-2) = –9 O g'(-2) = 8 O g(-9) = 3 %3D

BEAT has been selling their very own Platinum Eco-Charger since the beginning of this semester. If the number of units sold N, as a function of time, t, in years, can be represented by N(t) = 100(e-³ - e"), what was the highest number of chargers sold in a day?

As part of a study at a large university, data were collected on n = 224 freshmen computer science (CS) majors in a particular year. The researchers were interested in modeling y, a student's grade point average (GPA) after three semesters, as a function of the following independent variables (recorded at the time the students enrolled in the university): X1 = average high school grade in mathematics (HSM) X 2 = average high school grade in science (HSS) X 3 = average high school grade in English (HSE) X4 = SAT mathematics score (SATM) X 5 = SAT verbal score (SATV) A first-order model was fit to the data with the following results: SOURCE DF SS MS F VALUE PROB>F MODEL 5 28.64 5.73 11.69 .0001 ERROR 218 106.82 0.49 TOTAL 223 135.46 0.700 4.635 ROOT MSE R-SQUARE 0.211 0.193 DEP MEAN ADJ R-SQ PARAMETER STANDARD T FOR 0: VARIABLE ESTIMATE ERROR PARAMETER =0 PROB>ITI INTERCEPT X1 (HSM) X2 (HSS) X3 (HSE) X4 (SATM) 2.327 0.039 5.817 0.0001 0.146 0.037 3.718 0.0003 0.036 0,038 0.950 0.3432…

the graph of f is shown. which of the following is a graph of f^-1?

The second edition of a textbook was 799 pages long. By the time it got to the sixth edition the book had grown to 997 pages. use this information to obtain the page length L as a linear function of the edition number n

Find f(0) and f^-1(0)

The annual profit P (in dollars) of a company is modeled by a function of the form P=at^2+bt+c where t represents the year.  Discuss which of the models below the company might prefer.   a.  a is positive and t is greater than equal to b/2a. b.  a is positive and t is less than equal to -b/2a c.  a is negative and t is greater than -b/2a   d.  a is negative and t is less than equal to -b/2a