VVS: 20-1 A2 Summer 22 Page 2 of 6 4. State the restriction on the variable for each of the following radical expressions. (3 marks) a. V5x - 35 b. c. V12-x Jb - 6 index ( 2 ) even X 710 , XER. 676 no restrictions 5. Determine the radical expression that must be added to 4196 + 63 -V24-328 such that a sum of 196 + 252 is obtained. Write each term as a mixed radical in simplest form to begin. (4 marks) 6. Simplify. For both expressions assume x 20. a. (-3727x) 3x ) (1 mark ) b. ( 2V3x + 5) (- 313x + 5x) (2 marks ) = [-3V 27X. V3x = [ av EX. GIN/ TX ] + [ 2VTX. VSx ] + [ VS. - 3VIX] - - 3 V/ 81 x [ VS . V 5 X ] = = 3 V/ 9. 9 x = - 6 V 9x 3 + 2VISX - 3615x +V 25X = - 3 . 3 1 9 x 6 - - 6.3X + 2V15x - 3 15x + 5X = - 9V/ 9x 6 - - 18 x + 2 VISX ' _ 3ViSX + 5 x = - 9. 3 v x5 = - 13 x + = - 27xPage 6 of 6 VVS: 20-1 A2 Summer 22 1 1. An object on the end of a spring vibrates back and forth with simple harmonic motion. The period of vibration of the object, 7, measured in seconds, can be represented by T = 27 m , where m represents the mass of the vibrating object in kilograms kg k represents the spring constant in N / m Mrs. Cole decides to try bungee jumping. Her position while bungee jumping displays simple harmonic motion. If the period of vibration of her motion is 2.8 s and her mass is 64 kg , determine the spring constant of the bungee cord, rounded to the nearest N / m. (2 marks) End of Assignment