By: Noely Mendez

**Bronx vs. Palawan Temperature**

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By: Noely Mendez

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Task A- How can we model and compare the temperature in the Bronx with the temperature in another location?

Background knowledge

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Palawan,

Philippines

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Bronx,

NY

Bronx Temperature

https://www.desmos.com/calculator/fd2ptgsiyo

Welcome to Palawan

https://www.desmos.com/calculator/gvtfyk3n5q

The green points are the original data for the Bronx. And the orange line represents the function with only the midline component.

f(x)=cos(x)+62LOADING AWESOME

ï»¿

MIDLINE

ï»¿Midline

Green: Original data for average highly temperatures

in Palawan, appearing for

36 months

Orange: Function with the midline value

f(x)=cos(x)+88

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Amplitude

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The black line represents the new cosine equation

which now consists of the amplitude with the midline.

f(x)=23cos(x)+62

A now has a value of 2 at this point. This is being represented by the black line.

f(x)=2cos(x)+88

AMPLITUDE

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Frequency

With the frequency value added, the graph is starting to fit the data better.

Red Line: f(x)=23cos(Ï€/6*x)+*62

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BRONX

Frequency now has a value of Ï€/6

New Equation

f(x)=2cos(Ï€/6)+88

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PALAWAN

I needed to shift the graph in order for it to land on most of the coordinates. The value of the phase shift was 7. This completed the process of creating

the equation.

the equation.

Final Equation

f(x)=23cos(Ï€/6(x-7)+62

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FINAL PIECE

Phase Shift

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This is the final look. The final constructed equation is f(x)=2cos(Ï€/6(x-90)+88

Palawan

A PRESENTATION