1% Better | Desmos

Assymptotes

9

After d Days?

12

Functions

17

Expression 18: "f" left parenthesis, "x" , right parenthesis equals 1.0 1 Superscript, "x" , Baseline left brace, 0 less than or equal to "x" less than or equal to "d" , right brace

18

`f(d)=(1.01)^d` left parenthesis, 150 , 10 , right parenthesis

Label:

19

Expression 20: "g" left parenthesis, "x" , right parenthesis equals 0.9 9 Superscript, "x" , Baseline left brace, 0 less than or equal to "x" less than or equal to "d" , right brace

20

`f(d)=(0.99)^d` left parenthesis, 250 , 5 , right parenthesis

Label:

21

22

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1 % improvement = 37.78 times better than on Day 1

1 % deteriotation = 0.03 (97% worst off than on Day 1)

After 1 year

3.2353562 times better

0.30545903 times better

"f" ( "d" ) equals ( 1.0 1 ) Superscript, "d" , Baseline

"f" ( "d" ) equals ( 0.9 9 ) Superscript, "d" , Baseline

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Examples

Lines: Slope Intercept Form

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Lines: Point Slope Form

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Lines: Two Point Form

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Parabolas: Standard Form

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Parabolas: Vertex Form

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Parabolas: Standard Form + Tangent

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Trigonometry: Period and Amplitude

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Trigonometry: Phase

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Trigonometry: Wave Interference

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Trigonometry: Unit Circle

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Conic Sections: Circle

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Conic Sections: Parabola and Focus

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Conic Sections: Ellipse with Foci

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Conic Sections: Hyperbola

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Polar: Rose

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Polar: Logarithmic Spiral

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Polar: Limacon

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Polar: Conic Sections

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Parametric: Introduction

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Parametric: Cycloid

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Transformations: Translating a Function

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Transformations: Scaling a Function

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Transformations: Inverse of a Function

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Statistics: Linear Regression

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Statistics: Anscombe's Quartet

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Statistics: 4th Order Polynomial

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Lists: Family of sin Curves

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Lists: Curve Stitching

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Lists: Plotting a List of Points

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Calculus: Derivatives

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Calculus: Secant Line

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Calculus: Tangent Line

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Calculus: Taylor Expansion of sin(x)

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Calculus: Integrals

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Calculus: Integral with adjustable bounds

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Calculus: Fundamental Theorem of Calculus

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