Assignment 11.1: Sinusoidal Graphs Progress save Score: 0/8 0/8 answered . Question 1 A population of rabbits oscillates 21 above and below average during the year, hitting the lowest value in January (t = 0). The average population starts at 950 rabbits and increases by 200 each year. Find an equation for the population, P, in terms of the months since January, t. P(t) =. Question 2 The displacement of a mass suspended by a spring is modeled by the function h(t) = 7 sin(11at) Where h(t) is measured in centimeters, and t is measured in seconds Find the: Amplitude: cm Period: seconds Frequency: Hz(a) Make a scatter plot of the data. (b) Use a graphing calculator to find the sine function that best fits the data. y(t) = (c) Graph the function you found in part (b) together with the scatter plot. (How well does the curve fit the data?) t y 0. 15 9.39 0.3 15.58 0.45 21.3 0.6 24.45 0.75 23.89 0.9 19.81 1.05 13.71 1.2 7.83 1.35 4.32 1.5 4.46 1.65 8.21 1.8 14.19 1.95 20.21 2.1 24.07 2.25 24.34 Comments: Enter your answer as an expression, and be sure your variables match those in the question. To err on the side of caution, enter at least 4 decimal places for each value from the calculator (and remember to round appropriately).. Question 4 V Given the triangle 30, , find the length of side & using the Law of Sines. Round your final 14 17* answer to 4 decimal places.. Question 5 10 Given the triangle , find the length of side _ using the Law of Sines. Q Round your final answer to 2 decimal places. The triangle is not drawn to scale.. Question 16 Given the triangle below, find the measure of angle x . Round to two decimal places. Note: picture is NOT drawn to scale but x is obtuse. 37 35 X Q X = degrees. Question 17 Use the Law of Sines to solve for the remaining side(s) and angle(s) of the triangle if a = 100", a = 45, b = 50. Round to two decimal places. As in the text, (a, a), (8, b) and (y, c) are angle-side opposite pairs. If no such triangle exists, enter DNE in each answer box. degrees degrees C =