# Question (1 point) The following differential equations represent oscillating springs. = = = = - (i) 9s" + s = 0, s(0) = 6, s'(0) = 0. (ii) s" + 36s = 0, s(0) = 2, s'(0) = 0. (iii) s" + 9s = 0, $(0) = 3, s'(0) = 0. (iv) 36s" + s = 0,$(0) = 12, s'(0) = 0. - - Which differential equation represents: (a) The spring oscillating most quickly (with the shortest period)? ? (b) The spring oscillating with the largest amplitude? ? (c) The spring oscillating most slowly (with the longest period)? ? (a) The spring oscillating with the largest maximum velocity?| ?

Transcribed Image Text: (1 point) The following differential equations represent oscillating springs. = = = = - (i) 9s" + s = 0, s(0) = 6, s'(0) = 0. (ii) s" + 36s = 0, s(0) = 2, s'(0) = 0. (iii) s" + 9s = 0, $(0) = 3, s'(0) = 0. (iv) 36s" + s = 0,$(0) = 12, s'(0) = 0. - - Which differential equation represents: (a) The spring oscillating most quickly (with the shortest period)? ? (b) The spring oscillating with the largest amplitude? ? (c) The spring oscillating most slowly (with the longest period)? ? (a) The spring oscillating with the largest maximum velocity?| ?
Transcribed Image Text: (1 point) The following differential equations represent oscillating springs. = = = = - (i) 9s" + s = 0, s(0) = 6, s'(0) = 0. (ii) s" + 36s = 0, s(0) = 2, s'(0) = 0. (iii) s" + 9s = 0, $(0) = 3, s'(0) = 0. (iv) 36s" + s = 0,$(0) = 12, s'(0) = 0. - - Which differential equation represents: (a) The spring oscillating most quickly (with the shortest period)? ? (b) The spring oscillating with the largest amplitude? ? (c) The spring oscillating most slowly (with the longest period)? ? (a) The spring oscillating with the largest maximum velocity?| ?