solve question 57 with complete explanation asap 41. A rubber ball is dropped from a height of 15 meters. On each rebound, it rises 2/3 of the height from which it lastfell. Find the distance traversed by the ball before it comes to rest. The distanoe traversed by the ball before itcomes to rest. The geometric progression occurs after the first rebound.A 75B. 80C. 00D. 8542. A funnel in the form of cone is 10 am across the top and 8 cm deep. Water is flowing into the tunnel at the rate of12 cm/sec and out at the rate of 4 cmisec. How fast is the surface of the water rising when it is 5 cm deep?A 0.26 cm/secB. 0.32 cm/secC. 0.14 am/secD. 0.40 cm/sec43. Determine the simplified fom of [cos 2A - (cos A)V(cos A)*A sec A)"B. tan AС. sec AD. tan A44. Using Laplace Transfom technique. find the transient response of the system describe by the differential equationFyldx + 3dyldx + 2y = 1, with the initial condition y(0) = 1, dyldx = 1 when t=0.A 2e-(3/2)eaB. 2e+ (3/2jeaC. e-3eD. e+ 3ea45. The area of the parallelogram is x* and the height is x". Find the base of the parallelogram.A x*B. xС. 2хD. 246. The symbol 7"used in division is calledA ModulusB. MinusC. SolidusD. Obelus47. The constant "e is named in honor of.A EulerB. EigenC. EuclidD. Enstein48. The surface area of the spherical segmentA LuneB. ZoneČ. WedgeD. Sector40. Ifn is any positive integer, then(n- 1)(n- 2
- 3).(3(2X1) =B. (n-1D. (n-1)50. It is the 1/8 of the full circle.A Octa - quadrantB. OctagonC. OctantD. Octave51. SimplifyA'B - C. 1D. -152 A man finds the angle of elevation of the top of a tower to be 30. He walks 85 m nearer the tower and finds itsA 76.31 mB. 73.31 mC. 73.16 mD. 73.61 m53. A statue 3 m high is standing on a base of 4 m high. If an observer's eye is 1.5 m above the ground, how far shouldhe stand from the base in order that the angle subtended by the statue is a maximum?A 3.41 mB. 3.51 mC. 3.71 mD. 4.41 m54. Log(3 + 21) = Ln(3 +2yLn10A 0.514 +j02350.567 +j024C. 0.556 + j.0255D. 0.578 +j.026555. The growth of a country energy consumption is 8.9%. In how many years the growth will be quadruple?A 2В.C. 18D. 1658. The maximum tidal head available for a proposed tidal-power station is 6m. What must be the area of the tidal bayto generate an average of 1000 MW of power? The fomula is P. = 0.219 AHA 108.8 mB. 115.8 m1000 = 0.210 x 36 x areaC. 126.8 mD. 133.8 m1000Area == 126.8 m0.219 x 3657. The arithmetic and geometric mean of two numbers are 10 and 8 respectively. Find the hamonic mean.A 245. 4.4 C. 6.4D. 8.458. Find the maximum volume of a cylinder insoribed in a core of 4 m volume.A 1.78 mR 1 87 mC. 2.78 mD 2 87 m

Question

solve question 57 with complete explanation asap 41. A rubber ball is dropped from a height of 15 meters. On each rebound, it rises 2/3 of the height from which it lastfell. Find the distance traversed by the ball before it comes to rest. The distanoe traversed by the ball before itcomes to rest. The geometric progression occurs after the first rebound.A 75B. 80C. 00D. 8542. A funnel in the form of cone is 10 am across the top and 8 cm deep. Water is flowing into the tunnel at the rate of12 cm/sec and out at the rate of 4 cmisec. How fast is the surface of the water rising when it is 5 cm deep?A 0.26 cm/secB. 0.32 cm/secC. 0.14 am/secD. 0.40 cm/sec43. Determine the simplified fom of [cos 2A - (cos A)V(cos A)*A sec A)&#34;B. tan AС. sec AD. tan A44. Using Laplace Transfom technique. find the transient response of the system describe by the differential equationFyldx + 3dyldx + 2y = 1, with the initial condition y(0) = 1, dyldx = 1 when t=0.A 2e-(3/2)eaB. 2e+ (3/2jeaC. e-3eD. e+ 3ea45. The area of the parallelogram is x* and the height is x&#34;. Find the base of the parallelogram.A x*B. xС. 2хD. 246. The symbol 7&#34;used in division is calledA ModulusB. MinusC. SolidusD. Obelus47. The constant &#34;e is named in honor of.A EulerB. EigenC. EuclidD. Enstein48. The surface area of the spherical segmentA LuneB. ZoneČ. WedgeD. Sector40. Ifn is any positive integer, then(n- 1)(n- 2
 - 3).(3(2X1) =B. (n-1D. (n-1)50. It is the 1/8 of the full circle.A Octa - quadrantB. OctagonC. OctantD. Octave51. SimplifyA'B - C. 1D. -152 A man finds the angle of elevation of the top of a tower to be 30. He walks 85 m nearer the tower and finds itsA 76.31 mB. 73.31 mC. 73.16 mD. 73.61 m53. A statue 3 m high is standing on a base of 4 m high. If an observer's eye is 1.5 m above the ground, how far shouldhe stand from the base in order that the angle subtended by the statue is a maximum?A 3.41 mB. 3.51 mC. 3.71 mD. 4.41 m54. Log(3 + 21) = Ln(3 +2yLn10A 0.514 +j02350.567 +j024C. 0.556 + j.0255D. 0.578 +j.026555. The growth of a country energy consumption is 8.9%. In how many years the growth will be quadruple?A 2В.C. 18D. 1658. The maximum tidal head available for a proposed tidal-power station is 6m. What must be the area of the tidal bayto generate an average of 1000 MW of power? The fomula is P. = 0.219 AHA 108.8 mB. 115.8 m1000 = 0.210 x 36 x areaC. 126.8 mD. 133.8 m1000Area == 126.8 m0.219 x 3657. The arithmetic and geometric mean of two numbers are 10 and 8 respectively. Find the hamonic mean.A 245. 4.4 C. 6.4D. 8.458. Find the maximum volume of a cylinder insoribed in a core of 4 m volume.A 1.78 mR 1 87 mC. 2.78 mD 2 87 m

Accepted Answer

topic - sequence and series

57. The arithmetic and geometric mean of two numbers are 10 and 8 respectively. Find the hamonic mean. A 24 5. 44 C. 04 D. 8.4