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Worksheet 13

For Students 11th - Higher Ed
For this math worksheet, students find the solution for the Euler equation. Then they simplify the two differential for the functions of g and yp.
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Solar Flare Reconstruction

For Students 10th - Higher Ed
In this solar flare reconstruction worksheet, students read about the 'saturation' point of satellite detectors when solar flares are at their most intense phase of brightness. Students are given x-ray flare data and they re-plot the...
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Multivariable Calculus: Implicit Differentiation

For Students Higher Ed
In this implicit differentiation worksheet, students compute the determinant of the Jacobian matrix and solve equations by implicit differentiation. This two-page worksheet contains definitions, examples, and explanations. It contains...
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Trig Identities and Antiderivatives

For Students 11th - Higher Ed
In this math worksheet, students investigate the use of the trigonometric identities and the antiderivatives. They are asked to memorize the identities.
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Riemann Sums

For Students 12th - Higher Ed
In this calculus worksheet, students solve prolbem in which they estimate double integrals by using Riemann sums. The three page worksheet contains four questions. Answers are not included.
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Capacitance

For Students 10th - 12th
In this capacitance worksheet, students solve 19 problems about capacitance, voltage, electric charge and Ohm's Law. They use calculus to solve some of the problems and they are given equations used to solve different capacitance problems.
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The Io Plasma Torus

For Students 11th - 12th
In this plasma torus learning exercise, students solve 5 problems including finding the dimensions of the Io torus, determining the formula for the volume of a torus, finding the actual volume of the Ion torus and finding the amount of...
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Calculating Arc Lengths of Simple Functions-I

For Students 10th - Higher Ed
In this calculating arc lengths worksheet, students are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.
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The Ant and The Turntable-Frames of Reference

For Students 11th - 12th
In this frames of reference worksheet, students solve 5 problems given the details of a journey an ant takes from the center of a CD ROM to its edge. Students draw a scaled sketch of the turntable showing the motion of the ant from...
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Stokes' Theorem (and some review!)

For Students 10th - 12th
In this calculus instructional activity, students answer 4 short answer questions each about Green's Theorem and Stokes' Theorem. Questions require students to rephrase each theorem and tell when they may be used. Students solve...
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Linear Computational Circuitry

For Students 11th - Higher Ed
For this electrical worksheet, students draw a schematic design circuit board to grasp the understanding amplification in linear circuitry before answering a series of 35 open-ended questions pertaining to a variety of linear circuitry....
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Partial Fraction Review Problems

For Students Higher Ed
In this college Calculus worksheet, students determine the value of the integrals using partial fractions.  The one page worksheet contains six problems.  Answers are not included. 
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The Substitution Review Problems

For Students Higher Ed
In this college level calculus worksheet, students use trigonometric substitution to evaluate the given integrals.  The one page worksheet contains eight problems.  Answers are not included. 
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Inductance

For Students 10th - Higher Ed
For this inductance worksheet, students answer 20 questions about magnetic fields as they relate to inductors, inertia, transistors, and the flow of current through circuits.
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The Dawn Mission: Ion Rockets and Spiral Orbits

For Students 11th - Higher Ed
In this ion rocket and orbits worksheet, students read about the spiral orbit the Dawn spacecraft took due to its ion rocket motor. Students solve 3 problems including finding the path taken by the spacecraft, determining the total path...
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The Inverse Trigonometric Functions

For Students 12th
In this Calculus worksheet, 12th graders determine the derivative of inverse trigonometric functions and determine integrals.  The one page worksheet contains seven problems.  Answers and solutions are provided. 
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Lab 2: Euler's Method and Riemann's Sums

For Students Higher Ed
In this Euler's Method and Riemann's Sum worksheet, students identify the best situation in which to use Euler's Method and Riemann's Sum. They identify the initial value of a problem and use the accumulation formula to determine the...
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Worksheet 25

For Students 11th - Higher Ed
In this math worksheet, students state the Fundamental Theorem of Calculus. Then they evaluate the functions and test them against the theorem.
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Taylor Seies

For Students 12th - Higher Ed
In this calculus learning exercise, students find the Taylor series for each function adn give the interval where the series converges. The two page learning exercise contains nine questions. Answers are not included.
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Worksheet 17

For Students 11th - Higher Ed
For this math worksheet, students suppose that a function f and its derivative f1 are continuous and that there are constants K, a, and M such that |f(t)|< Keat for t ≥ M.
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Infinite Series

For Students 11th - Higher Ed
For this math worksheet, students examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.
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Worksheet 29 Spring 1999

For Students 12th - Higher Ed
In this math worksheet, learners describe in terms of reflections what happens to a point when (r, θ) in polar coordinates changes. They also discuss the concept of symmetry.
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Worksheet 28 - Spring 1996

For Students 11th - Higher Ed
For this math worksheet, students examine the graph in polar coordinates of r = f(θ). Then they sketch a graph of the modified functions indicated.
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Worksheet 10

For Students 11th - Higher Ed
In this math worksheet, students examine the concepts of upper division mathematics. They include linear operator, homogeneous, characteristic equation, fundamental solution set (solution basis), principle of superposition, Wronskian,...

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