Related International Baccalaureate Maths essays

1. 

   Investigating the Graphs of Sine Function.

   Graph to show y = sin (x + 45�) ; y = sin (x + 100�) and y = sin (x - 60�) In order to investigate what is the effect of C on the y = sin x curve, the graph above has to be compared with the first

2. 

   Investigating the Graphs of Sine Functions.

   Amplitude: the coefficient of sine is 1 and therefore the amplitude of y= sin 2x is 1. The period is 4, the complete graph consists of the above graph repeated over and over: the domain of the curve is the set of all real numbers and the range is [-1,1].

1. 

   Function Transformation Investigation

   us, but as we have seen earlier, multiplying input or output just stretches or compresses. This time instead of using a parent function of f(x) = x we can use one of the kind. So we have the following functions: Note: We will use the same values that we used for the previous functions with f(x)

2. 

   Population trends. The aim of this investigation is to find out more about different ...

   The following model is a logarithmic model, the normal curve is very curved and isn't at all what the data looks like in a graph. It starts increasing disproportionally, it then curves and starts to decrease the increase per year of population.

1. 

   Math Portfolio Type II Gold Medal heights

   of Table 1.1, however in comparison to Figure 1.0 and Figure 1.1 has a generated Line of Best Fit drawn through these values. The position of the x-Axis had been shifted to lay focus on the relevant area. Instead of zero being the origin, the value of 30 (1926)

2. 

   Investigating Sin Functions

   Again, we have to use Absolute Value. This leads to my conjecture. Conjecture - Part 2 When |b|>1, the period of the function will be less than 2?, and the graph will be horizontally shrunk (making the wave shorter) by a factor of 1/|b|. And when |b| < 1, the period of the function will be greater than 2??

1. 

   IB Math Methods SL: Internal Assessment on Gold Medal Heights

   Let us begin. A calculator is used to derive the answers to the sigmas. Sum of t values Sum of t values squared Product of the sums of t and h Now, let us find the average of the values of t and h, respectively.

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.