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Study Guide for the Advanced Placement Calculus AB Examination
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and integral calculus,...
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Worksheet 13-Fall 1995
In this math worksheet, students find the domain and range of trigonometric functions. They estimate the limit of a given function. Students identify three statements about one to one functions as true or false. They solve for k in two...
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Worksheet 5 - Integration
In this integration worksheet, students evaluate the divergence or convergence of improper integrals. They explain limits of functions. In this one-page worksheet, students solve six multi-step problems.
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Worksheet 33 - Sequence
In this sequence worksheet, students find the limits of given sequences and prove theorems. This one-page worksheet contains four multi-step problems.
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Limits of Functions of Two Variables
In this math worksheet, students examine the limits of the functions in two variables. Then the limits are measured for the functions to determine that they do not exist.
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Limits of Functions
In this calculus activity, 12th graders solve problems containing limits using the rules of limits. There are 2 questions on this activity requiring students to show knowledge of the rules of limits.
Khan Academy
Challenge: Exploding Sun
Animating an object by moving it across a computer screen can be accomplished by drawing the object repetitively, each time adjusting some aspect of the drawing slightly. This activity is an easy introduction to animation in JavaScript,...
PBL Pathways
Boogie Boards
Solve a complex business puzzle by building a linear programming model. An engaging project-based learning problem has classes examining transportation costs and manufacturing limitations from several plants. Ultimately, they use their...
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L'Hopital's Rule
Students solve limit problems. In this solving limit problems lesson, students use L'Hopital's Rule. Students apply L'Hopital's Rule to functions as long as the derivative of the top function and bottom function is zero. Students...
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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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Review Questions for Midterm 2
For this review worksheet, students prove the intersection of finitely of sets, construct increasing functions, and identify characteristics of an open and closed set. This two-page worksheet contains seven problems.
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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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Computing Derivatives
In this computing derivatives worksheet, students determine the derivative, slope, and rate of change in a function. They indicate if a function is constant, increasing, or decreasing. This two-page worksheet contains approximately ten...
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Three Calculus Overview Problems
For this calculus overview worksheet, students: find the equation of a tangent line, curve sketch, and find limits. Students should have covered continuity as well.
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Worksheet 8 - Spring 1996
In 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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Worksheet 18
For this math worksheet, students graph the function. Then they determine the altitude in relation to the graph of the function using point (2,1).
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Numerical Analysis: Successive Intervals
In this successive interval worksheet, students find the approximation of a root, using the Bisection Algorithm. They identify intervals, and use algebraic manipulation to identify functions that have a fixed point.
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Calculus Review Worksheet
In this review worksheet, students evaluate given limits. They evaluate graphs. This four-page worksheet contains 27 multi-step problems. Answers are provided on pages three and four.
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Definition of the Derivative
Young scholars find the derivatives of functions. In this finding the derivatives of functions lesson, students use the definition of derivative to take the derivative of a function. Young scholars discuss scenarios in which the...
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Worksheet 11
In this math worksheet, students define a function f(x) by the following rule: for any x ∈ R,set. They also define the domain and range for the functions.
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AP Calculus Practice Exam
In this Calculus worksheet, 12th graders are provided with practice problems for their exam. Topics covered include limits, derivatives, area bounded by a curve, minimization of cost, and the volume of a solid of revolution. The four...
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The Chain Rule and Applications
In this chain rule worksheet, students use the chain rule to differentiate compositions, and determine the value of the limits. They give reasons justifying each step of the chain theorem. This six-page worksheet contains theorems,...
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Rational Expressions Test with a Calculator
In this rational expression worksheet, students graph rational equations, evaluate limits, state intercepts, asymptotes, and roots and factor. This worksheet is designed as a test to be completed with a calculator.
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Topic 3.5 & 3.6: Linear Programming
In this linear programming worksheet, students define variables and write a system of inequalities for the given situation. They model the solution through graphing. This two-page worksheet contains six multi-step word problems.