Related International Baccalaureate Maths essays

1. 

   A logistic model

   One can write two ordered pairs (1?104 , 2.3) , (6 ?104 , 1) . The graph of the two ordered pairs is: 5 IB Mathematics HL Type II Portfolio: Creating a logistic model International School of Helsingborg - Christian Jorgensen Plot of population U n versus the growth factor r 2,5 2,4 2,3 2,2 2,1 2 1,9 1,8

2. 

   Investigating the Graphs of Sine Functions.

   If A is negative the graph of y= -A sin x is obtained by changing the amplitude by its coefficient and reflecting it along the x axis. Part 2 Graphs of type y= sin Bx Graph of y= sin 2x Conjecture: (a)

1. 

   Investigating the Graphs of Sine Function.

   In other words, the inverse of B (1/B) is equal to the base wave talking in period terms. For example, in the graph of y = sin 2 x shown above, the period is two times as short as the period of the base graph of y = sin x.

2. 

   Creating a logistic model

   y = Putting the data obtained from the excel table into a line graph, we have: This graph shows that starting from a population of 10000 fish, the rate of growth will increase initially, and then decrease so that at approximately year 10, there is a stable growth rate.

1. 

   IB Math Methods SL: Internal Assessment on Gold Medal Heights

   187 191 195 199 203 207 212 216 220 224 228 232 236 * - Although there are values for 1940 and 1944 (8 and 12 years elapsed respectively); as the original data set does not have such data for those years, we reject the two h-values.

2. 

   Music and Maths Investigation. Sine waves and harmony on the piano.

   To visualize these frequency patterns, we will graph a single note, in this case, we will use A4, the most commonly used note for a general tuning standard for musical pitch, which has a frequency of 440 Hz. The equation for A4 is: The graphing of a sine function allows us to visualize the oscillation of the string.

1. 

   Gold Medal heights IB IA- score 15

   Subsequently, let h represent the height jumped by gold medalist. The grid range for the graph (figure 1) begins from 1915 to 1995 on the horizontal axis and 185 to 245 on the vertical axis. A set domain and range needs to be created to determine the constriction of the graph.

2. 

   The purpose of this investigation is to create and model a dice-based casino game ...

   This would have the added advantage of inducing patrons to play the game, as their expected earnings are quite high when compared to other games. However, the high payment required to play the game may put some players off. Alternatively, the casino could make the payoff close to the player?s payment (e.g.