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Gradient Vector Fields
In this gradient vector fields learning exercise, students use Maple to examine vector fields. They identify functions which are vector fields. This one-page learning exercise contains two multi-step problems.
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Curved Lines
In this curved lines worksheet, students examine equations that, when graphed, present a curved line. They explore specified points on the graphed line and write an equation for the tangent line at given points. This two-page worksheet...
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Calculus Test: Integral
In this integral worksheet, students determine the area of a region bounded by given lines. They compute the volume of a solid in a specified region. This two-page worksheet contains 10 multi-step problems.
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Practice Test: Vector Equations
In this vector equations worksheet, students sketch curves when given vector equations. They determine when two curves intersect and find the tangential and normal components of an acceleration vector. This one-page worksheet contains 6...
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Equations for Curves Passing through a Given Set of Points
Learner use three random locations on the coordinate system and simplify the expression and assign result to the variable loc. They substitute guesses for the center and radius of the circle in the equation for the center of a circle and...
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Matrices
In this calculus worksheet, students practice solving equations of area and integrals. There are 14 multi-step problems.
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Worksheet on Dimension
In this dimension worksheet, students describe the dimension of a line, a knotted curve, an abstract set, explore a paraboloid. This two-page worksheet contains eight problems.
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Worksheet 24 - Fall 1995
In this math activity, students find an equation of a curve such that the slope at the point (x, y) on the curve is 3x2 +2 and (−1, 1) is a point on the curve.
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Slope Field Solutions
For this slope field worksheet, students draw possible solution curves to a differential equation. Three problems are provided on this on-page worksheet.
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Guess the Age
Students describe graphically, algebraically and verbally real-world phenomena as functions; identify the independent and the dependent variable. They translate among graphic, algebraic, and verbal representations of relations and graph...
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Parabola
In this parabolas worksheet, 10th graders solve and graph 12 different problems related to various types of parabolas. First, they determine the vertex and the y-intercept based on the graph illustrated for each. Then, students write a...
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Area Under A Curve
Students investigate the concept of finding the areas under curves while examining the graphing for inscribed and circumscribed rectangles. Finally, students compute the area under the curve by using the left-hand endpoints. The examples...
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The Box Problem
Students investigate the concept of functions and how they are used with polynomials. They practice finding the zeros of functions and graph polynomial functions for the help of giving solutions. Students interpret the curve of a line...
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Lesson #94 Exact Area Under A Curve
Students examine diagrams to determine the exact area under a curve. Using given formulas, they identify the area of the curve using the x and y-axis, as well as rectangles. As a class, students sing a song called "Failing My Calculus"...