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Maxima and Minima
In this algebra worksheet, learners discuss the origin of maxima and minima. They solve problems using the maxima and minima and graph parabolas and other functions containing a maxima and minima.
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Local Linearity and the Microscope Approximation
In this local linearity worksheet, students identify the slope of a line tangent to the graph at a given point. They use linear approximation to estimate values. Students determine the slope of a secant line at a given point. This...
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Higher Order Taylor Polynomials
For this polynomial worksheet, students approximate values of linearly using the tangent line. They use first and second-degree polynomials to find the equation of a line tangent to a graph. Students explore Taylor's Theorem. This...
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Applications of Derivatives: Concavity and Optimization
In this derivatives worksheet, students sketch the graph of a function by determining the local maxima, minima and inflection points. They graph a second function when given the interval. Students solve two word problems involving...
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Algebra 2 and Trigonometry Practice Series #4
For this sum of a series worksheet, students complete 6 multiple choice problems relating to the topic. They create an infinite series that converges to -2. Students graph one function on their graphing calculator.
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The Definition Derivative
In this derivative worksheet, students evaluate limits, factor equations, and calculate the given function. They determine the derivative of a function and plot it on a graph. This four-page worksheet contains eight problems.
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MT-A141 PreCalculus: Worksheet 6.5/6.6
For this precalculus worksheet, students investigate functions and determine which functions are sinusoids. They estimate the amplitude, phase shift, and period of each function. Students explore the sums of sine and cosine functions....
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Worksheet 9
In this math worksheet, students test the concepts of divergence and convergence for each formula. Then they test the functions using the Ratio Test.
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Worksheet 28
In this math activity, students determine the solutions of the functions using the Fourier series. They also use computer to create some graphs for functions.
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Nine Exercises Identifying Solution Sets to Systems of Inequalities
In this inequality worksheet, students examine graphs of functions and describe the solution set. Explanations and examples are provided. This one-page interactive, multiple choice, worksheet contains nine problems.
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Taylor's Theorem and Error in Tangent Line Approximations
In this tangent line approximation worksheet, students answer two essay questions about the approximation error when related to a function. They answer three short answer problems. Students graph one function and its tangent line.
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Integrated Algebra Practice: Square Roots
In this square roots worksheet, students calculate the square roots of whole numbers and rational numbers. Seven problems have multiple choice answers. The remaining 13 problems are short answer. One problem involves graphing a function....
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Algebraic Solution of a Quadratic, Linear System
In this algebra learning exercise, students solve systems of equations using linear and quadratics. They graph their solutions on a coordinate plane. There are 5 questions with an answer key.
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Polynomials Degree and Finite Differences
In this algebra activity, learners identify polynomials and state the degree and rewrite it in standard form. There are 32 questions ranging from polynomials to graphing a quadratic.
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Evaluating Definite Integrals Using Accumulation
In this integral learning exercise, students sketch functions and use their graph to evaluate functions. This two-page learning exercise contains four multi-step problems.
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Inverse Trig Functions: Chain Rule
For this trigonometric functions worksheet, students differentiate inverse trigonometric functions using the chain rule. There are 15 questions.
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A.P. Calculus Practice Exam AB Version- Section I- Part B
In this A. P. Calculus AB instructional activity, learners solve seventeen multiple-choice problems with a graphing calculator. This instructional activity is designed as a practice test for the A.P. Exam and should be timed.
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Radicals
In this algebra activity, students solve problems with roots and identify the parts of the graph that is continuous. There are 6 questions.
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Numerical Analysis: Dimensional Vectors
In this dimensional vector instructional activity, students prove dimensional vectors. They write systems of equations, verify solutions, and sketch graphs of the functions. This two-page instructional activity contains approximately...
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Math 155 - Worksheet 3. Limits
In this limits worksheet, students use the intermediate value theorem to explore intervals. They sketch a graph of the function and determine the correct property of limits to evaluate the limit. This two-page worksheet contains five...
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Differentiability and Linear Approximation
In this differentiability instructional activity, 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 instructional...
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SOL Review
For this SOL worksheet, students solve inequalities, identify equivalent fractions and graph polynomial functions. They find the geometric means and compute average rates. This eight-page worksheet contains 20 multiple-choice problems.
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A.P. Calculus BC Section II, Part A and Part B
In this A.P. Calculus BC learning exercise. students solve six practice problems. A graphing calculator is required on the first three questions and not allowed on the next three. Directions are provided.
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Using Inequalities to Problem Solve
Learners explore inequalities. In this Algebra I lesson, students solve and graph linear inequalities involving addition, subtraction, multiplication, or division. Learners use inequalities to solve and graph real-world problems.
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