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Curves

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Pe^rt and A=P(1+r/n)^nt (rate, # it compounds per year, years) Pump fill 4hr., 2nd fill 3hr. t/4+t/3=1 multi. By 3, 4, then 12. Cancel base and solve. Or find CD and #?s to make it. Add #?s and / CD by sum. Set de. = 0. Cancels r holes. Stayed r va?s. degree of nu. Higher- no ha. Lower- it?s y=0, x-axis. =, then it?s at y= LC of nu./LC of de. Y-int= c of nu./c of de. Even + S E, Even ? s e (parabola), odd + s E, odd ? S e (line). Think of self as y-axis. Standard dev. = ox on calc. 68, 95,99.7. 95-68/2=13.5. inside + left, - right; outside + up, - down. When (a) is -, graph flips horizontally. If (a)>1, narrower; vice versa (absolute value). |Variable-Given value| = Difference/Error. When = x (-b/2a), what = y (insert x), when hit ground = quad formula.

Human Population Outline

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Human population Out line .4.1 How population change over time A. B. C. D. II. Age structure A. B. C. D. E. F. G. H. I. J. K. 4.2 Kinds of population Growth III Exponential growth A B C IV A brief history of human population Growth 1. 2. 3. 4. 4.3 Present Human Population Rates of Growth A. B. C. D. E. F. 4.4 Project Future Population Growth A. V. Exponential Growth and daubing Time A. B. C. D. E. The logistic Growth Curve A. B C D E. F. G. VII. Forecasting Human Population Growth Using the logistic Curve A. B. C. D. E.

Parabola Notes

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To derive the focus of a simple parabola, where the axis of symmetry is parallel to the y-axis with the vertex is at (0,0), such as then there is a point (0,f) ? the focus, F ? such that any point P on the parabola will be equidistant from both the focus and the linea directrix, L. The linea directrix is a a line perpendicular to the axis of symmetry of the parabola (in this case parallel to the x axis) and passes through the point (0,-f). So any point P=(x,y) on the parabola will be equidistant both to (0,f) and (x,-f). FP, a line from the focus to a point on the parabola, has the same length as QP, a line drawn from that point on the parabola perpendicular to the linea directrix, intersecting at point Q.

Parabolas

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Parabolas Graphs a parabola, showing coefficients for the equation in both standard form, y=a(x-h)2+k, and general form, y=ax2+bx+c. How to use || Examples || Other Notes -------------------------------------------------------------------------------- -------------------------------------------------------------------------------- How to use To change the values of the coefficients, use the "+" and "-" buttons under each value. The buttons change the value by 0.1 at each step. Holding a button down causes this action to be repeated. Click the "Clear" button to reset all values to the default values, a=1 and all other values are 0. -------------------------------------------------------------------------------- Examples Horizontal shifts: in standard form,

Parabola

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Parabolas 1.Normal Parabola f(x) = x? root : (0/0) apex : deepest point/highest point of the parabola 2.Displacement up/down the y-axis f(x) = x?+k root : 1 solution: k = 0 2 solutions: k > 0 0 soltuions: k < 0 apex : (0/k) 3.Displacement on the x-axis f(x) = (x + h)? root = apex : (-h/0) 4. Displacement on x- and y-axis f(x) = a(x+h)? + e root : look at 2. aspex : (-h/k)
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Unit circle

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In mathematics, a unit circle is a circle with a radius of one. Frequently, especially in trigonometry, "the" unit circle is the circle of radius one centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane.

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Unit circle

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n mathematics, a unit circle is a circle with a radius of one. Frequently, especially in trigonometry, "the" unit circle is the circle of radius one centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane.

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