Browsing: All Content in Calculus for Applications of Integrals Browse discussions |
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Technology |
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Arc Length
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Arc length (Calculus) |
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Calculates the arc length of the graph of the function y = 6(x-3)^(3/2) between x=3 and x=10.
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Area Bounded by a Parametric C...
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Area of a region (Calculus) |
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Calculates the area of a region given by a parametric equation.
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Area between two curves
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Area of a region (Calculus) |
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Discusses the method for finding the area between two curves.
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Area between two curves
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Area of a region (Calculus) |
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Calculates the area of the region bounded by the curves f(x) = x^2 and g(x) = x^3.
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Area between two curves
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Area of a region (Calculus) |
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Calculates the area of the region bounded by the curves f(x) = x^4+2x^2 and g(x) = 28-x^2.
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Area between two curves
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Area of a region (Calculus) |
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Calculates the area of the region bounded by the curves f(x) = x^3 and g(x) = x.
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Area between two curves
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Area of a region (Calculus) |
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Calculates the area of the region bounded by the curves f(x) = x^3, g(x) = x, and h(x) = 1/x^2.
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Area between two curves
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Area of a region (Calculus) |
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Calculates the area of the region bounded by the curves f(x) = e^(-x), g(x) = e^(2x), and h(x) = 7.
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Area between two curves
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Area of a region (Calculus) |
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Discusses how to find the area between two curves using functions defined in terms of y instead of x.
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Area between two curves
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Area of a region (Calculus) |
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Uses an integral in terms of y to find the area between the curves f(x) = ln(x+1), g(x) = 1-x, and the x-axis.
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Areas Bounded by Polar Curves
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Area of a region (Calculus) |
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Discusses the formula for the area of a region defined in terms of a function in polar coordinates.
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Areas Bounded by Polar Curves
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Area of a region (Calculus) |
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Finds the area of a region defined by the equation in polar coordinates r = 4 sin(t).
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Areas Bounded by Polar Curves
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Area of a region (Calculus) |
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Finds the area of a region defined by the equation in polar coordinates r = sin(3t).
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Areas Bounded by Polar Curves
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Area of a region (Calculus) |
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Finds the area of a region defined by the equation in polar coordinates r = 2 + 3 sin(t).
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Average Value of a Function
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Average value of a function (Calculus) |
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Discusses the formula for the average value of a function.
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Average Value of a Function
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Average value of a function (Calculus) |
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Compares the average value of a function with its average rate of change.
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Average Value of a Function
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Average value of a function (Calculus) |
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Considers the average value of a function in terms of area.
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Average Value of a Function
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Average value of a function (Calculus) |
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Uses the Intermediate Value Theorem to show that a continuously differentiable function takes on its average value over an interval at some point in that interval.
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Average Value of a Function
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Average value of a function (Calculus) |
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Calculates the average value of the function f(x) = x^4 - 8x^2 + 6 on the interval [0, 3].
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Volumes
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Solids with known X-sections (Calculus) |
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Discusses the volume of a solid as the integral of the cross-sectional area.
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Volumes
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Solids with known X-sections (Calculus) |
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Calculates the volume of a right circular cone by integrating the cross-sectional area.
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Volumes
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Vol. of a solid of revolution (Calculus) |
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Discusses the volume of a solid formed by revolving a function around the x-axis.
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Volumes
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Vol. of a solid of revolution (Calculus) |
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Finds the area of the solid created by rotating the function f(x) = x-x^2 around the x-axis.
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Volumes
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Vol. of a solid of revolution (Calculus) |
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Finds the area of a solid created by rotating part of a polynomial around the x-axis.
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Volumes
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Vol. of a solid of revolution (Calculus) |
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Discusses the volume of a solid of revolution created by rotating the area between two curves around the x-axis.
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