
Concept explainers
Fruit Flies A study of the relation between the rate of reproduction in Drosophila (fruit flies) bred in bottles and the density of the mated population found that the number of imagoes (sexually mature adults) per mated female per day (y) can be approximated by
logy = 1.54 − 0.008x − 0.658 log x,
where x is the mean density of the mated population (measured as flies per bottle) over a 16-day period. Source: Elements of Mathematical Biology.
(a) Show that the above equation is equivalent to
y = 34.7( 1.0186)−xx−0·658
(b) Using your answer from part (a), find the number of imagoes per mated female per day when the density is
(i) 20 flies per bottle;
(ii) 40 flies per bottle.
(c) Using your answer from part (a), find the rate of change in the number of imagoes per mated female per day with respect to the density when the density is
(i) 20 flies per bottle
(ii) 40 flies per bottle.

Want to see the full answer?
Check out a sample textbook solution
Chapter 12 Solutions
Finite Mathematics and Calculus with Applications
- Let f(x, y) = 2x + 3y+ In(xy)arrow_forward(3) (16 points) Let D = [0, π/2] × [0, 7/6]. Define T: DCR2 R3 by → T(0, 4) = (2 sin cos 0, 2 sin sin 0, 2 cos x). Let S be the surface parametrized by T. (a) (8 points) Determine the normal, call it n(p), for the tangent plane TS at an arbitrary point p = T(0, 4). (b) (4 points) Show that n(p) parallel to the position vector T(0, 4) determined by p? Do the two vectors have the same direction or opposite direction? Explain. (c) (4 points) At which points p, if any, is TS parallel to the xy-plane?arrow_forward5:19 0 TEMU TEMU >>> 49 95% University at Albany - Single Sig... L Lumen OHM D2L HW4- AMAT100-Precal HW4 Score: 12.99/21 Answered: 18/21 × Question 16 Score on last try: 0 of 1 pts. See Details for more. > Next question Get a similar question You can retry this question below Find the inverse for the function k(x) = √√7x+12 k-¹(x) = Question Help: Video Message instructor Submit Question esc ||| F1 80 ୮ (x) = tarrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill




