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Clarification and Extra Problems for Homework 10: Metric Space
In this metric space worksheet, learners define a compact metric space, and explore continuous functions. They prove a function converges uniformly. This one-page worksheet contains six problems.
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Worksheet 4
In this math worksheet, students write down five exact differential equations in symmetric form. Then they test the statements concerning differential equations.
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Worksheet 33 Spring 1996
In this math worksheet, students find the solutions to the differential equations. Then they graph the solution and show if they are perpendicular.
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Worksheet 8 - Spring 1996
For 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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y Intercepts
In this y-intercept worksheet, students graph functions and determine the y-intercept of the equation. Explanations and examples are provided prior to the exercises. This two-page worksheet contains ten problems.
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Complex Analysis: Rectangular Form
For this rectangular form worksheet, students write numbers in rectangular form. They solve complex numbers, and find the value of a function. This two-page worksheet contains approximately 12 multi-step problems.
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Successive Approximation and Euler's Method
In this approximation worksheet, students use the Euler's method to interpret a piecewise linear function. They explore why the approximation produced using a smaller stepsize is a better approximation. This four-page worksheet...
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Homework Handout for Class 27
In this calculus activity, students solve five functions. They use the answers to approximate a second function. Students graph the Taylor polynomials and functions. They compare the two Taylor approximations.
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Penny Toss - Exponential Growth and Decay
In this penny toss learning exercise, students collect statistical data by tossing pennies and then create a scatter plot of the data. They use formulas for exponential growth and decay and then plot the function. This two-page...
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Rational Zero Theorem
In this rational zero theorem worksheet, 11th graders solve and complete 7 different problems. First, they list all of the possible rational zeros of each function. Then, students find all of the rational roots of each function. Finally,...
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Taylor Series: Natural Number
In this calculus worksheet, students apply the Taylor Series to exponential functions based at either zero or one. There are 2 questions with multiple parts.
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Absolute Value and Equations - Week 5
In this absolute value worksheet, students use the absolute value function to solve functions. They identify the maximum and minimum values in triangular inequalities. This two-page worksheet contains eight problems.
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Worksheet 23 - Fall 1995
In this math instructional activity, students examine the measurements of a Pizza Hut box. Then they draw out the box and answer questions about its volume.
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Complex Analysis: Homework Set 5: Domain
In this domain worksheet, students determine the domain of analyticity for given functions. This one-page worksheet contains five multi-step equations.
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Graph of the Tangent, cotangent, Secant, and Cosecant Functions
In this college level Pre-calculus worksheet, students examine the graphs of the Tangent, cotangent, secant, and cosecant functions. Students find the intercepts and any asymptotes. The seven page worksheet contains...
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Worksheet 16 - Spring 1996
In this math worksheet, students read the instructions for setting up a computer program. Then they practice graphing the functions with the software program.
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Worksheet 19 Fall 1995
Students evaluate the equations that each variable is a function of time. They differentiate each expression with a comparison to the variable of t.
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The Derivative
In this derivative worksheet, students estimate the derivative of given functions, compute the rate of change at a given point, and simplify the difference quotient. This two-page worksheet contains definitions, examples, and five...
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Applications of Derivatives: General Rules for Optimization
In this minima and maxima worksheet, students find the global and local maxima and minima of one function. They work in small groups to solve one optimization problem. Steps for solving are listed on the page.
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Worksheet 8
In this math worksheet, learners explore how the use of implicit differentiation does not give the solutions to the differential equation. Then they write the definitions to the vocabulary related to differential equations.
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Worksheet 22-Fall 1995
In this math learning exercise, students examine the graph of the derivative. Then they determine the critical points that correspond to the relative extrema.
Virginia Department of Education
Factoring for Zeros
Relate factors to zeros and x-intercepts. Scholars first graph quadratics in both standard and factored forms to see that they are the same. They go on to use the graphs to see the relationship between factors and x-intercepts.
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Long Distance Phone Plans
In this long distance phone plane worksheet, students compare various phone plans and determine which long distance plan has the greatest savings. Students support their answers visually through the use of tables and graphs. They write...
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Matter and Motion 3
In this matter and motion worksheet, students solve 3 different types of problems that relate to the chain rule for multivariable functions. First, they find the rate of increase of the volume of a can and the rate of increase of the...
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