negative 10
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negative 10
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3) Verify your predicted values by moving the sliders until you obtain such a circle (you may have to enter the values instead of obtaining them.) If successful, move to part 4 below, otherwise keep working on the problem until you find the best circle fit for region Q.
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4) Now, visit http://mathschallenge.net/view/corner_circle to see both the original problem and its solution. But, write down what is the meaning of the solution with the plus sign in the given binomial?
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5) Once again, use above sliders to verify the claim you made in step 4 above. Commit all findings to output side of your INB.
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6) Now, start figuring out what are the lengths of the radii of the first three smaller circles that you still could fit within region Q and regions smaller and ever smaller Q. Commit your processes abd fnidings to the output side of your INB.
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7) Predict what would the result of adding all the radii lengths to the original unit one would ultimately lead to if the process of fitting smaller and smaller circles is continued to infinity? Commit your process to the output side of your NB.
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8) Use an app that handles 3-D graphs to replicate all of the above steps for a unit sphere as your starting figure.
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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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