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ESP Quiz 1
Learners solve two systems of equations in this instructional activity/quiz. They solve four functions problems; both type of problems require short answers.
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ESP Quiz 2
Students solve five short answer (computation) problems, with three sets of instructions. Two problems require students to find the domain or range of a function. They evaluate limits problems, making proper use of limit notation for the...
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Supplemental Exercises for Section 2.6
Practing their functions skills, students solve seven short answer (computation) problems. They tell the points that each function is continuous. The answers to three of the problems are included on the activity.
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Supplemental Exercises for section 2.4
Given examples and formulas at the top of the page, students solve eleven short answer (computation) problems. The answers to three of the problems is included on the worksheet.
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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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Rate Equations: Equilibrium and Inflection Values
In this rate equation, students are given 7 short-answer problems regarding functions, maximum and minimum values, equilibrium values, and inflection values.
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Worksheet 6
In this integral worksheet, learners are given 20 short-answer problems regarding integrals, temperature, time, limits, maximum & minimum values.
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Worksheet 7
In this integral worksheet, students are given 42 short-answer problems regarding rates, proportions, integrals, graphing, differentiable functions, and average values.
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Challenge Sheet 5: Integration
In this integration worksheet, students use any method to integrate given problems. They identify a continuous function and determine the area of a triangle inscribed in a square. This one-page worksheet contains seventeen problems.
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Problem of the Day: Truth Tables
In this truth table activity, students construct truth tables to show that Modus Ponens and Hypothetical Syllogism are valid arguments. This one-page activity contains two problems.
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Challenge Sheet 8: Kinetic Energy
In this kinetic energy worksheet, student set up equations that represent the kinetic energy of a rod with given parameters. They compute the volume of ocean water in a 2-mile radius, and sketch a graph of the information. This...
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Primes and Triples
In this primes worksheet, learners list three triples that are generated by formulas. They explain how to generate these formulas and discuss the Pythagorean Triples. This one-page worksheet contains one multi-step problem.
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Discussion Sheet 1: Sums, Midpoints
In this sums worksheet, students evaluate sums, estimate total mass, determine left and right endpoints and midpoints of the subdivision. This one-page worksheet contains fifteen problems.
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Linear Systems: Eigenvalues and Eigenvectors
In this "Eigenvalues and Eigenvectors" instructional activity, students find the eigenvalue of a matrix and explore the properties of eigenvalues with a matrix. This two page instructional activity contains two multi-step problems.
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Worksheet 7: Distance and Rate
In this distance and rate worksheet, students determine the rate in which something is moving, and explore the rate a surface area of a cube is changes under given circumstances. This one-page worksheet contains seven multi-step problems.
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Worksheet 1
In this calculus worksheet, students answer 5 short-answer problems regarding different salt solutions per gallon, various size tanks, water flow and time.
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Challenge Discussion Sheet 6
Students are challenged to determine values that are guaranteed by the mean value theorem. They sketch the graph of a function and show that it satisfies the conditions of the mean value theorem over a given interval. Students determine...
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Average Value of a Function
In this value learning exercise, students determine the average amount of money in an account at various period of time. This one-page learning exercise contains one multi-step problem. An example and explanation is provided.
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Parametric Equations: Speed, Arc Length
In this parametric equation worksheet, students determine the length an object travels over a given amount of time. This one-page worksheet contains two problems.
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Divergence and Convergence
In this divergence and convergence worksheet, students complete a comparison test for improper integrals. This four-page worksheet contains approximately ten problems.
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Convergence Tests for Infinite Series
In this convergence worksheet, students explore different tests for convergence of an infinite series of numbers. This six-page worksheet contains twelve multi-step problems.
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Riemann Sums and Error Control
In this Riemann sums worksheet, students use the Riemann sums to approximate a given area. This two-page worksheet contains two multi-step problems.
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Properties of Definite Integrals
In this definite integral worksheet, students evaluate the properties of definite integrals. Students graph their answers. This two-page worksheet contains two multi-step problems.
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Multivariable Calculus: Linear Systems
In this linear systems worksheet, students perform matrix multiplication. This two-page worksheet contains examples, explanations, definitions, and four problems.