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Worksheet 17: Writing Equations
In this equations worksheet, students graph the curve represented by pairs of parametric equations. They determine the slope of the line tangent to a given graph. Students find the area region lying under the curve. This two-page...
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ESP Quiz 3
In this functions worksheet, students complete three short answer problems. They solve one compound inequality. Students show that a given function is even. They use exponential growth to compute the enrollment at UC Davis over time.
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ESP Quiz 5
Test your students with this integrals quiz, which prompts students to evaluate five indefinite integrals. The final problem directs students to solve two ways: first, they evaluate using u-substitution, then, integration by parts.
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ESP Quiz 4
Students solve four short answer (computation) problems by evaluating indefinite integrals. This worksheet is intended to be used as a quiz, but could be used a review.
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Platonic Solids
A chart in this activity prompts students to list the number of faces, vertices, and edges in each of five shapes. Additionally, students provide the number of faces that meet at each vertex as well as the number of sides of each face....
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ESP Quiz 9
In this improper integrals activity, students evaluate four computation (short answer) problems. They use L'Hopital's rule for the fourth problem.
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ESP Quiz 1
Students solve two systems of equations in this worksheet/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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Supplemental Exercises for Section 2.3
In this limits worksheet, students solve twelve computation (or short answer) problems. Problems are grouped by difficulty. The answers to five of the problems are included on the worksheet.
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Worksheet on Power Series
In this function worksheet, students identify the interval of convergence and write differential equations. This two-page worksheet contains five multi-step questions.
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The Little Prince and his Pendulum
In this function worksheet, students read a fairy tale about a prince on a tiny planet. They explore the length of a pendulum and gravitational acceleration. Students use the multi-variable change rule to compute the rate of change. ...
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Solve Linear Systems by Substitution
In this linear systems worksheet, students use the substitution method to solve systems of equations. This one-page worksheet contains two multi-step problems.
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Add and Subtract Radicals
In this radical worksheet, pupils add and subtract radicals. They simplify radicals involving multiplication. This two-page worksheet contains three problems.
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Simplify Products of Radical Expressions
For this radical expression worksheet, students simplify products and quotients of radical expressions. They write radical expressions in their lowest terms. This two-page worksheet contains four problems.
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Linear Systems: Least Squares Approximations
For this least squares approximation worksheet, students determine the number of solutions a given linear system has. They find the least square error and the equation of a line of best fit for a set of three points. Students find the...
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Linear Systems: Geometric Interpretation of Eigenvalues and Eigenvectors
In this interpretation of eigenvalues and eigenvectors worksheet, students probe the given results of exponentiation of a matrix. They tell the implications of this result. Students prove that the eigenvectors of a symmetric matrix are...
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Linear Systems: Vector Spaces and Subspaces
In this vector spaces and subspaces worksheet, students review column spaces of matrices. They determine if the set of all 2 by 2 matrices is a vector space. Students determine if the set of all invertible 2 by 2 matrices is a vector...
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Linear Systems: Column Space and Nullspace of a Matrix
In this column space and nullspace of a matrix worksheet, students are give a three by three matrix. They describe the kind of subspace it is. Students find the nullspace of the matrix.
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Limit Definition of the Definite Integral
In this integral worksheet, students compute the Riemann sum that is defined by the given equation. They use a step by step process for computing an integral.
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Basic Calculus II: Quiz 7
In this improper integrals worksheet, students explain the reasons each of three integrals may be considered improper. They evaluate each by determining if it converges to a number or diverges.
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Estimating he Value of a Definite Integral
In this definite integral worksheet, students solve three integrals for a defined value. They use the midpoint, trapezoidal, and Simpson's rules each one time to estimate the value of a definite integral.
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Computing Traveled Distance from Velocity
In this velocity activity, students compute the distance they would travel given a constant velocity for a car for specified amounts of time. They use tables to find the initial and terminal velocities for each time interval.