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Linear and Quadratic Approximations
Students explore a linear, a parabolic, and a log function. For this Algebra II/Pre-calculus lesson students investigate the graph a line, a parabola, and a log function. Students examine the three graphs as they compare and contrast...
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Worksheet 28
In this math worksheet, students study the Fourier series and consider the special orthogonal basis of functions. They write certain functions as an infinite sum.
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Worksheet 21
In this math instructional activity, students find the interval convergence of the series. They also practice writing a series and the functions. Students find the Taylor series about zero.
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Worksheet 30 Spring 1996
In this math learning exercise, students examine the functions for their properties to determine if they are real or not. They also graph them according to their domain and range.
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Worksheet 28 - Spring 1996
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 15
In this math worksheet, students sketch and label on a number line the regions that converge and diverge with the sequences. Then they examine a smooth function and define its series.
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Worksheet 24 - Fall 1995
In this math worksheet, 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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Numerical Analysis
In this math worksheet, students use fzero to find the roots of the non-linear functions. They also practice finding the root of the polynomial functions.
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Worksheet 35
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 27 - Fall 1995
In this math instructional activity, students find the area bounded by the tangent line, the x-axis, and the line x =2. They also describe the graph of the function.
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Worksheet 13
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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Worksheet 24
In this math worksheet, they give conditions on the constants a and b which ensure that x0 is a regular singular point of the equation. Then they write examples of polynomial functions.
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Worksheet 15 - Spring 1996
In this math learning exercise, students solve the functions from the definition of Taylor polynomials of degree 4 centered at zero.
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Worksheet 17
In this math worksheet, students practice graphing functions and define the domain. Then they use Lagrange's Theorem to estimate the error involved in using the two Taylor polynomials.
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Worksheet 14
In this math worksheet, students graph the function f(x) = sinx on a set of axes that is at least half the size of a page of notebook paper.
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Worksheet 4
In this math worksheet, students write down five exact differential equations in symmetric form. Then they test the statements concerning differential equations.
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Worksheet 33 Spring 1996
In this math worksheet, learners find the solutions to the differential equations. Then they graph the solution and show if they are perpendicular.
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Worksheet 8 - Spring 1996
For this math worksheet, students sketch the graphs of the functions 1/x 2 and 1/(x2 − 1) over the interval [2, ∞). They rewrite the series using the Riemann sum.
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y Intercepts
In this y-intercept worksheet, students graph functions and determine the y-intercept of the equation. Explanations and examples are provided prior to the exercises. This two-page worksheet contains ten problems.
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Rational Zero Theorem
In this rational zero theorem activity, 11th graders solve and complete 7 different problems. First, they list all of the possible rational zeros of each function. Then, students find all of the rational roots of each function. Finally,...
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Taylor Series: Natural Number
In this calculus worksheet, students apply the Taylor Series to exponential functions based at either zero or one. There are 2 questions with multiple parts.
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Absolute Value and Equations - Week 5
In this absolute value worksheet, students use the absolute value function to solve functions. They identify the maximum and minimum values in triangular inequalities. This two-page worksheet contains eight problems.
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Worksheet 23 - Fall 1995
In this math learning exercise, students examine the measurements of a Pizza Hut box. Then they draw out the box and answer questions about its volume.
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Worksheet 16 - Spring 1996
In this math worksheet, students read the instructions for setting up a computer program. Then they practice graphing the functions with the software program.
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