1. [-/4 Points] DETAILS SPRECALC7 4.2.009. Graph the function, not by plotting points, but by starting from the graph of y = ex in the figure below. f(x) = -ex yty = 3* 11 y = 2 y = er - 3 O O -3 -3 O O State the domain and range. (Enter your answers using interval notation.) domain range State the asymptote. Need Help? Read it Watch It2. [-/4 Points] DETAILS SPRECALC7 4.2.012.MI. Graph the function, not by plotting points, but by starting from the graph of y = ex in the figure below. f(x) = -ex A 2 - 21 O 2 -4 -2 2 -2 O O State the domain and range. (Enter your answers using interval notation.) domain range State the asymptote. Need Help? Read it Master It3. [-/4 Points] DETAILS SPRECALC7 4.2.015. Graph the function, not by plotting points, but by starting from the graph of y = ex in the figure below. h(x) = ex + 1 - 3 yty = 3 : 24 = ex 10 10- 10 -5 5 10 10 -5 5 10 -51 10 -10 O O 0 4 10 LX -10 -5 10 -10 -5 5 I X 10 - 5 -10 O O -10 State the domain and range. (Enter your answers using interval notation.) domain range State the asymptote. Need Help? Read it Watch It4. [-12 Points] SPRECALCT 4.2.022.MI. A graphing calculator is recommended. Find the local maximum and minimum values of the function and the value ofx at which each occurs. State each answer rounded to two decimal places. ("an answer does not exist, enter DNE.) g(x) = e-x + (3* local maximum (X. Y) =( ) local minimum (X. Y) =( ) N... Help? 5. [-12 Points] SPRECALCT 4.2.024. A radioactive substance decays in such a way that the amount of mass remaining after t days is given by the function m(t) : He'll-01\" where mm is measured m kilograms. (e) Find the mass at lime r : 0. k9 (b) How much at the mass remains after 41 days? (Round your answer to one declmal place.) k9 Need Help? 6. [-/5 Points] DETAILS SPRECALC7 4.2.025.MI. A graphing calculator is recommended. A sky diver jumps from a reasonable height above the ground. The air resistance she experiences is proportional to her velocity, and the constant of proportionality is 0.21. It can be shown that the downward velocity of the sky diver at time t is given by v(t) = 160(1 - e-0.21t) where t is measured in seconds (s) and v(t) is measured in feet per second (ft/s). (a) Find the initial velocity of the sky diver. ft/s (b) Find the velocity after 3 s and after 8 s. (Round your answers to one decimal place.) after 3 s ft/s after 8 s ft/s (c) Draw a graph of the velocity function v(t). v(t v(t) 200 200 150 150 100 100 50 50 O 10 20 40 O 10 20 30 40 v(t) v(t) 200 200 150- 150 100 100- 50 50 O 10 20 30 40 O 10 20 30 40 d) The maximum velocity of a falling object with wind resistance is called its terminal velocity. From the graph in part (c) find the terminal velocity of this sky diver. (Round your answer to the nearest whole number.) ft/s Need Help? Read it Watch It Master It7. [-/6 Points] DETAILS SPRECALC7 4.2.027.MI. Animal populations are not capable of unrestricted growth because of limited habitat and food supplies. Under such conditions the population follows a logistic growth model: P(t) = 7 d 1 + ke-ct where c, d, and k are positive constants. For a certain fish population in a small pond d = 1400, k = 13, c = 0.2, and t is measured in years. The fish were introduced into the pond at time t = 0. (a) How many fish were originally put in the pond? fish (b) Find the population after 10, 20, and 30 years. (Round your answers to the nearest whole number.) 10 years fish 20 years fish 30 years fish (c) Evaluate P(t) for large values of t. What value does the population approach as t -+ co? P(t) = Yes ON Need Help? Read It Watch It Master It