Worksheet
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Math 155 - Spring 2002 Worksheet: Limits

For Students 11th - 12th
In this limits activity, students solve 6 short answer problems.  Students find the limits of functions, points of discontinuity, and the derivatives of functions.
Lesson Plan
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Exploring the Witch of Agnesi

For Teachers 9th - 12th
high schoolers construct the graph of the Witch of Agnesi, and investigate both its asymptotes and inflection points. They construct the graph of the Witch of Agnesi and conjecture the asymptotes and inflection points of the function. ...
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Worksheet 1

For Students 11th - Higher Ed
In this math learning exercise, students give an example of a function which is continuous but not differentiable. They also write a definition for differentiable.
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Worksheet 17

For Students 11th - Higher Ed
In this math worksheet, students suppose that a function f and its derivative f1 are continuous and that there are constants K, a, and M such that |f(t)|< Keat for t ≥ M.
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AP Calculus Practice Exam

For Students 11th - 12th
In this Calculus worksheet, students are provided with practice problems for their exam.  Topics covered include derivatives, area bounded by a curve, local maximum, instantaneous rate of change, and the volume of a solid of...
Lesson Plan
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Linear and Quadratic Approximations

For Teachers 11th - 12th
Students explore a linear, a parabolic, and a log function.  In this Algebra II/Pre-calculus lesson students investigate the graph a line, a parabola, and a log function.  Students examine the three graphs as they compare and...
Worksheet
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More on Least Squares

For Students 12th - Higher Ed
In this least squares worksheet, students solve 3 different problems that include determining the least squares of equations. First, they use the data given in the table to write out the normal equations a system of 2 equations in 2...
Worksheet
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Test Chapter 5: Intervals

For Students 10th - 12th
In this interval worksheet, students identify the largest interval for a given situation.   They explore and explain functions, their derivative, relative maximum, and relative minimum.  Students graph functions and...
Lesson Plan
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Motion of a Bouncing Ball

For Teachers 12th
Twelfth graders complete a unit of lessons on derivatives as they are applied to motion. They observe and discuss demonstrations, conduct an experiment involving a motion sensor, graph and analyze the results, and summarize their findings.
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Worksheet 18

For Students 6th - 8th
In this math worksheet, learners graph the function. Then they determine the altitude in relation to the graph of the function using point (2,1).
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Worksheet 30

For Students 11th - Higher Ed
In this math worksheet, students imagine a situation where a weight is attached to a string and it is swung in a circle. Then they use vectors and derivatives to describe the motion.
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AP Calculus Practice Exam

For Students 12th
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. ...
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Limits

For Students Higher Ed
In this limit activity, students evaluate functions and determine the limits of the function. This one-page activity contains 10 problems.
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Complex Analysis: Complex Exponential

For Students Higher Ed
In this complex exponential worksheet, students identify an entire function and explore how to show a function is analytic. This two-page worksheet contains four problems, as well as explanations and examples.
Worksheet
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Exploration 3: Introduction to Definite Integrals

For Students 11th - 12th
In this integral learning exercise, students estimate the definite integral and find the derivative of functions. They graph functions and determine the range of the velocity. This three-page learning exercise contains approximately 40...
Worksheet
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Worksheet 11

For Students 6th - 8th
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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Worksheet 27 - Fall 1995

For Students 11th - Higher Ed
In this math learning exercise, students find the area bounded by the tangent line, the x-axis, and the line x =2. They also describe the graph of the function.
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Worksheet 15 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students solve the functions from the definition of Taylor polynomials of degree 4 centered at zero.
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Worksheet 13

For Students 11th - Higher Ed
In this math instructional activity, 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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Introduction to Substitution

For Students 11th - Higher Ed
in this math worksheet, students practice using the process of substitution for the integrals and derivatives. Then they identify the composite function.
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Challenge Discussion Sheet 4

For Students Higher Ed
in this derivative worksheet, students find the derivative for the function w'(t) and tell the meaning of this. They create a sign chart for the derivative of two functions. Students create the graph of the derivative of a function as...
Interactive
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Review of Calculus BC I

For Students 10th - 12th
In this review worksheet, learners match a function to the proper description.  they identify the domain of a function.  Students determine the slope of an inverse function.  They find the derivative of given...
Worksheet
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Challenge Discussion Sheet 5

For Students Higher Ed
For this math worksheet, students solve for the derivative of seven functions. For three derivatives, students set up a sign chart. They solve three word (or story) problems dealing with falling items.
Worksheet
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A Plethora of Derivatives

For Students Higher Ed
In this derivative worksheet, students fill in tables to identify the value of given functions. They write and utilize the addition rule, chain rule, multiple rule, product rule, quotient rule and power rule to solve functions. This...