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Worksheet 17 Practice Exam

For Students 11th - Higher Ed
In this math activity, students complete the practice exam that asks for the solution to the parametric equation. Also they name the perpendicular line in relation to it.
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Worksheet 35

For Students 11th - Higher Ed
In this math worksheet, students write a problem having solution u(x, t) for each function u given. They include the lengths, physical constants, and initial conditions.
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Worksheet 33

For Students 11th - Higher Ed
In this math activity, students find the solutions to the wave equations that are presented in a variety of situations. They also sketch a solution as directed.
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Worksheet 26

For Students 11th - Higher Ed
In this math worksheet, students take the time to consider the heat equation. Then they analyze the solution and apply it to a variety of other uses.
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Worksheet 17

For Students 11th - Higher Ed
In this math activity, 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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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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Worksheet 29 Spring 1999

For Students 12th - Higher Ed
In this math worksheet, students 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 25- Spring 1996

For Students 11th - Higher Ed
In this math activity, students find the values of the vectors. They also they prove that v and w are both orthogonal and find two nonparallel vectors.
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Worksheet 28 - Spring 1996

For Students 11th - Higher Ed
In 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 21 Spring 1996

For Students 11th - Higher Ed
In this math learning exercise, students consider a path around the unit circle parameterized by σ on the interval [0, 1] with σ(t) = sin(5πt − π), cos(5πt − π). Then they find the vector.
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Worksheet 22 - Spring 1996

For Students 11th - Higher Ed
students examine the potential of creating the involute for a circle. They use the concept to create new parametric equations. They graph the picture for each.
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Worksheet 15 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students solve the functions from the definition of Taylor polynomials of degree 4 centered at zero.
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Worksheet 14 - Spring 1996

For Students 11th - Higher Ed
In this math learning exercise, students Find the interval of convergence of the power series. Special attention should be paid by checking the endpoints.
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Worksheet 18 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students practice finding the function while practicing using the Taylor series. Then they compute the second integral by parts.
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Worksheet 12 - Spring 1996

For Students 11th - Higher Ed
For this math worksheet, students consider a series and test to see if the law of convergence applies or not. Then they calculate the Taylor series about x = 0 for the trigonometric functions f(x)=sinx and g(x)=cos.
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Worksheet 20

For Students 11th - Higher Ed
In this math worksheet, students Investigate the structure and function of how the numbers of people infected with HIV changes over time. They answer the fact of it either increasing or decreasing.
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Worksheet 19

For Students 11th - Higher Ed
In this math worksheet, students try to fit a line to a set of data. Then they use the least squares method is based on minimizing the sum of the squares of the errors.
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Worksheet 22

For Students 11th - Higher Ed
In this math activity, students apply the following: In physics, the equation W=Fd gives the amount W of energy expended in moving a distance d by applying a constant force F.
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Worksheet 23

For Students 11th - Higher Ed
In this math worksheet, students practice using summation notation. Then they draw a picture of a sequence of partitions in which the mesh does not go to 0.
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Worksheet 37

For Students 11th - Higher Ed
In this math worksheet, students sketch the regions that give rise to the integrals. Then rewrite them as double integrals with the integration order reversed.
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Worksheet 38

For Students 11th - Higher Ed
In this math activity, students investigate different types of functions and coordinate systems. They review that when integrating a function over a region in the plane using polar coordinates, a “magical” factor of r appears in the...
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Worksheet 27

For Students 11th - Higher Ed
In this math activity, students examine the equations for the planets of Mercury and Saturn. Then they find the distance of Saturn’s closest and farthest approach to the sun.
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Worksheet 29

For Students 11th - Higher Ed
In this math worksheet, students investigate how time is related to the concept of increasing or decreasing velocity. Then they consider times and answer the questions of whether the velocity is changing.
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Worksheet 22

For Students 11th - Higher Ed
In this math worksheet, students demonstrate that the point ( 1√ 2 , −1 2 , 1 2 ) lies on the unit sphere. They find the equation of the plane tangent to the unit sphere.

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