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Calculus Test
For this calculus worksheet, students integrate various functions, find the sum of a series, and solve differential equations. There are 16 questions including multiple choice and free response.
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Exploring the Area Under a Curve
Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...
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Parabolic Equations
In this parabolic worksheet, students write an equation of a parabola which satisfies given conditions. They match equations to the correct graph. Students identify the vertex, domain and range of an equation. This one-page worksheet...
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Visualizing Solids of Revolution - Washers
Young scholars solve the area of a cross section. In this calculus lesson, students solve areas rotated and bounded by two functions. They solve using the washer method.
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Quiz 1: Sums
In this sums instructional activity, students evaluate sums. They use the limit definition of the definite integral to evaluate a function. This two-page instructional activity contains four multi-step problems.
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Integrals involving Trig Substitution
Students define integrals and list the trig values. In this calculus lesson, students integrate functions using trig substitution. They solve integrals containing sums and differences of squares.
College Board
1999 AP® Calculus BC Free-Response Questions
Get a 20/20 view of the exam. Free-response questions from the 1999 Calculus BC exam provide an insight to the exams. Pupils review the questions to see how topics show up on the test. Topics range from particle motion along a function,...
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Worksheet 30 - Intervals
In this interval worksheet, students divide functions into intervals. They computer the upper and lower sums for the partition. This two-page worksheet contains approximately eight multi-step problems.
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Simpson's Rule
In this integral worksheet, students use the Simpsons's Rule for evaluating integrals. They use different methods to calculate integrals and compare the results. This eight-page worksheet contains approximately 16 multi-step problems.
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Worksheet 23
In this math worksheet, students practice using summation notation. Then they draw a picture of a sequence of partitions in which the mesh does not go to 0.
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Math 155 Worksheet 11
In this college level calculus learning exercise, students use Riemann Sums to evaluate the given integrals and compare the answer to the limit. The two page learning exercise contains four problems. Answers are not...
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Worksheet 8 - Spring 1996
In this math learning exercise, 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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Matrices
In this calculus worksheet, students practice solving equations of area and integrals. There are 14 multi-step problems.
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Convergence Tests for Infinite Series
In this convergence activity, students explore different tests for convergence of an infinite series of numbers. This six-page activity contains twelve multi-step problems.
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Worksheet 28 - Fall 1995
For this math worksheet, students define a definite integral. Then they draw a picture or sequence of pictures with progressively finer partitions..
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Worksheet 13
In this math worksheet, students find the solution for the Euler equation. Then they simplify the two differential for the functions of g and yp.
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Riemann Rectangle Errors
Students calculate the area under a curve. In this calculus lesson, students integrate the function to find the area under the curve. They use the Ti to create a visual of the graph.
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Integrals with Even Powers of Sine and Cosine
Students discuss ways to integrate given trigometric functions. They use a trig identity (half angle identities) to solve problems. Students practice solving problems with even powers of both sine and cosine. They change a sum of...
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Volumes of Solids of Revolution (Shell Method)
Students find the volume of solids and disks. In this finding the volume of solids and disks lesson, students find the volume using the washer, disk, and shell method. Students integrate functions in terms of x and y. ...
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Roller Coaster Robot
Students calculate the area under a curve. In this calculus lesson, students use Riemann sums to find and approximate the area under a curve. They use the derivative and differential equations to solve.
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The Right Angle
In this algebra worksheet, 11th graders solve word problems creating a right triangle. Students determine the point and direction this turn of ninety degrees occurs. There are 4 questions with an answer key.
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Precalculus Exam
In this precalc lesson, students write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
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Modeling a Planetary Nebula
In this modeling a planetary nebula activity, students use a diagram to calculate the intensity at different radii from the center of the nebula. Students use the Pythagorean Theorem to determine the distance between two points on the...
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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.