Instructions: a) In the textbox given, draw a diagram to illustrate the question (where possible) and then explain the strategy that you used to determine your answer. b) Using the data in part a, provide your complete solutions c) When finished answering all your questions, save your file and upload the file into the Course Summative Dropbox. Part A: 1. Find the exact value of cost 12 . 2. A Ferris wheel of diameter 18.5 m rotates at a rate of 0.2 rad/s. If passengers board the lowest car at a height of 3 m above the ground, determine a sine function that models the height, h, in metres, of the car relative to the ground as a function of the time, t, in seconds.3. The water level at an ocean inlet has a depth, d, in metres, that varies with the time, t, in hours after midnight, according to the equation d = 5 sin 21 - 2- ( 1 - 4 ) 12.4 + 0. What is the water depth at 2:30 a.m., to the nearest hundredth of a metre? A culture of a certain type of mould growth is modelled by the function B = 4(7.07)', where B is the total number of spores and t is the time, in hours. How many mould spores would there be after 24 h? 5. Determine how long it would take an investment of $10 000 to double in value if it were compounded annually at 9.75% interest.6. a) Use long division to divide x3 + 3x2 - 7 by x + 2. Express the result in quotient form. b) Identify any restrictions on the variable. c) Write the corresponding statement that can be used to check the division. d) Verify your answer. 7. A 150-cm tall person stands on the bank of a narrow river and observes a flagpole on the opposite bank. If the angle of elevation to the top of the flagpole is 0.25 and the angle of depression to the bottom of the flagpole is 0.09, determine the flagpole's height, in metres, to two decimal places. 8. Determine the point(s) of intersection of the graphs of y = cos x and y = cos 2x on the interval x E [0, 2x].9. On a busy construction site at 1:00 p.m. the sound level is 124 dB, while at 4:00 p.m. it is 100 dB. How many times as intense as the sound of the construction site at 4:00 p.m. is the sound at 1:00 p.m.? 10. Dye spilled in a bucket of water mixes with the water at a rate defined by A = -23610g 20 , where R is the intensity of the dye and I is the volume of dye spilled, in millilitres. What is the intensity of the mixture if 50 mL of dye was spilled? 11. List the steps and explain the effect of each transformation to graph the function y = -3log -2(x - 1) ]+4.12. A 200-g sample of a radioctive substance is placed in a chamber to be tested. After 3 h, 140 g of the sample remains. a) Determine the half-life of this substance. b) Graph the amount of the substance remaining as a function of time. 13. The polynomial 6x + mx+ nx - 5 has a factor of x + 1. When divided by x - 1, the remainder is -4. What are the values of m and n?14. The height, h, in metres, of a weather balloon above the ground after / seconds can be modelled by the function h(t) = -2t' + 312 + 149t + 410, for 0 # $ 10. When is the balloon exactly 980 m above the ground? 15. Solve 3x (x2 - 8) + 6x + 5