Fill in the blanks to correctly complete the sentence below. The graph of y = - 7+ 4 cos |x- 6 is obtained by shifting the graph of y = cos x unit(s) horizontally to the stretching it vertically by a factor of and then shifting it unit(s) verticallyII Find the value of s in the interval 0, that satisfies the given statement. tan s = 0.8047 S= radians (Round to four decimal places as needed.)Complete the sentence below. The domain of both the sine and cosine functions is D. and the range is E. [Type your answers in interval notation. Type exact answers. using I as needed.) A rotating beacon is located 4 meters south of point R on an east-west wall. d, the length of the light display along R the wall from R, is given by d = 4 tan 2xt, where t is time measured in seconds since the beacon started rotating. (When t = 0, the beacon is aimed at point R. 4 m When the beacon is aimed to the right of R, the value of d is positive; d is negative if the beacon is aimed to the left of R.) Find d if t = 0.5 seconds. d= meters (Round to the nearest hundredth as needed.)Find the measure [in degrees} of the central angle. The area of the shaded sector is ETC\": sq units. The measure is E\". [Type an integer er a simplied fraction.) Picture is not drawn to scale The pulley shown has a radius of 14.14 cm. Suppose it takes '19 sector 53 cm of belt to go around the pulley. [a] Find the linear speed ofthe belt in centimeters per second. [h] Find the angular speed of the pulley in radians per second. [a] The linear speed of the roller is D cm per second. (Type an integer or decimal rounded to the nearest tenth as needed.) [h] The angular speed of the roller is D radiants} per second. [Type an integer or decimal rounded to the nearest hundredth as needed. Use the answer from part {a} to nd this answer} Refer to the figure to the right. (a) How many inches will the weight in the figure rise if the 9.65 in pulley is rotated through an angle of 78 40"? (b) Through what angle, to the nearest minute, must the pulley be rotated to raise the weight 5 in.? (a) The weight in the figure will rise inches. (Do not round until the final answer. Then round to the nearest tenth as needed.) (b) In order for the weight to rise 5 inches, the pulley must rotate through "Do not round until the final answer. Then round to the nearest minute as needed.)Pure sounds produce single sine waves on an oscilloscope. Ay Find the amplitude and period of the sine wave graph. On the vertical scale, each square represents .5; on the horizontal scale, each square represents 30" or X The amplitude is (Simplify your answer. Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression.) The period is (Simplify your answer. Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression.)