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Rates of Convergence of Functions and Sequences
In this math learning exercise, students explore the rates of convergence for functions and sequences. They also practice using Taylor series approximations.
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Taylor's Theorem
In this Taylor's Theorem worksheet, students use the microscope approximation to determine the approximate value of a function. They rewrite expressions for the relative error, and observe changes in the relative error. They use...
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Applications of Derivatives: Finding Maxima and Minima
In this derivative worksheet, students use the second derivative test to determine the maxima and minima of given functions. They explore real life problems to complete the optimization of a problem. This two-page worksheet contains...
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Differentiability and Linear Approximation
For this differentiability worksheet, students write expressions for a tangent line approximation to a graph, determine the limits, and use Taylor's theorem to differentiate given functions. This three-page worksheet contains a...
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Role of Energy in Reactions
In this energy worksheet, students determine the enthalpy of exothermic and endothermic reactions. This worksheet has 1 fill in the blank and 4 short answer questions.
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Linear Functions and Piecewise Linear Functions
An activity that could function as a review or as a quiz, this worksheet prompts students to find two different linear functions that satisfy the given equation. Students sketch the graph of two linear equations. They identify the domain...
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More On Accumulation Functions
In this math activity, students investigate using the accumulation method to solve for the functions. They also review using Riemann Sums.
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Accumulation Functions and Definite Integrals
In this accumulation functions worksheet, students write expressions that involve the definite integral of a given function. They use a graph to find given values of areas of the line. Students follow guiding questions to determine the...
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Taylor Polynomials, Minima, Maxima and Inflection Points
In this Taylor polynomial worksheet, students answer 3 problems regarding quadratic polynomials, 2nd degree Taylor polynomials, and cubic polynomials.
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Mathematical Modeling and constant Rate Equations
In this rates worksheet, students solve five story (word) problems related to rate and time. In two of the problems students are directed to create a graph of the problem.
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Some Elementary Derivative Formulas and Rules
In this derivative formula learning exercise, students solve problems concerning the derivative of constant functions and linear functions. They explore the derivative of the cosine and sums and differences functions. This six-page...
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Interpreting Reaction Coordinates
In this reaction coordinates worksheet, students are given a diagram of the reaction coordinate for a reversible catalyzed and uncatalyzed reaction. Students answer eighteen questions related to the diagram.
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Homework 7: Hares and Foxes (Based on a problem in Cic)
In this system of equations worksheet, students use systems of equations and Euler's method to calculate the population of hares and foxes. They plot and interpret their results. This one-page worksheet contains three multi-step...
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Limits of Functions as Undefined X-Values and L'Hopital's Rule
In this limits worksheet, students apply L'Hopital's rule to solve four limits problems. They solve a total of eleven short answer problems. The final seven problems ask students to find the asymptotes of functions.
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Infinite Limits and Horizontal Asymptotes
In this infinite limit activity, students compute horizontal and vertical asymptotes. They use trigonometric functions to find the limits of functions and compare results. This two-page activity contains examples and explanations and...
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Rate Equation
In this rate equation worksheet, students use Euler's method to estimate the value of rate equations. They use the piecewise linear function approximation to determine the solution of an initial value problem. This two-page worksheet...
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Articles - A or An
For this grammar worksheet, 3rd graders write the correct article, either a or an, on 20 blank lines as indicated by the pictures and words. They write the correct number of the corresponding pictures in the box in front of each set of...
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Numerical Analysis/ Orders of Convergence of a Sequence
In this math worksheet, students examine the concept of orders of convergence for a sequence. They practice finding the different rates of convergence.
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Linear Systems: Diagonalizing a Matrix
In this diagonalizing a matrix activity, students explore matrix factorization and use diagonal decomposition. This two-page activity contains examples, explanations and four practice problems.
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The Fundamental Theorem and IVP's
In this math learning exercise, students practice solving the problems concerning the concept of energy consumption. They also review the Fundamental Theorem of Calculus.
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Elementary Derivatives and Rules of Differentiation
In this derivative worksheet, students use the definition of limits and derivatives to find formulas with given conditions. They find derivatives of given equations. This four-page worksheet contains approximately ten problems, with...
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Limits at Infinity and Horizontal Asymptotes
For this limits worksheet, students sketch the graph of a function. They complete three fill in the blank questions. Students solve fifteen limits problems. They use L'Hopital's Rule to solve four problems. Students find the vertical...
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Average and Instantaneous Velocity
In this velocity worksheet, students determine the average velocity for a trip, graph the distance traveled as a function of time, estimate the slope and identify the instantaneous rate of change of the function. This two-page worksheet...
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Limits, Continuity and Differentiability
In this limit worksheet, students answer true or false statements concerning functions, limits and differentiability. They evaluate limits and explore rules for working with limits and continuity. This worksheet contains three...
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