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Discussion Sheet 4: Limits & Differentiation
In this limits and differentiation worksheet, students use the limit definition of a derivative to compute functions, and differentiate functions. They determine the geometric significance of values and identify the sketch of a...
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The Second Derivative Test for Relative Extreme in Three Dimensional Space
In this second derivative worksheet, students determine the relative maximum and minimum values of given surfaces in three-dimensional space. They perform the second derivative test, and identify the partial derivatives. This one-page...
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Worksheet 2
In this functions worksheet, students determine the values of the variables so that the function is continuous for x. They solve one word problem (application problem) related to percents.
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Worksheet 8: Absolute Percentage Error
In this absolute percentage error worksheet, students estimate the maximum absolute error in computing the volume and area of a cube or a sphere. They use differentials to estimate the value of roots. This one-page worksheet contains...
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You Must Know These
In this sequence worksheet, students compute the value of the nth term. They identify a convergent series. This one-page worksheet contains four problems.
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Maclaurin Series Quiz
In this Maclaurin series activity, students use the Maclaurin series to find the first nonzero terms in a function. They estimate the value of a function with a given absolute error. This two-page activity contains two multi-step...
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Worksheet 8: Rate, Differentials
In this rate worksheet, students read story problems, determine the necessary information, and solve the rate problem. They use differentials to estimate the value of a function at a given point and integrate functions. This three-page...
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A Plethora of Derivatives
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...
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Worksheet 6
In this integral worksheet, students are given 20 short-answer problems regarding integrals, temperature, time, limits, maximum & minimum values.
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Worksheet 7
In this integral learning exercise, students are given 42 short-answer problems regarding rates, proportions, integrals, graphing, differentiable functions, and average values.
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Analyzing the S-I-R Model
In this SIR model worksheet, students analyze a real life problem using the SIR method. They explore given facts and determine the threshold value for an epidemic, the sequence for the recovery period, and the effect on the model from a...
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Successive Approximations and Euler's Method
In this Euler's method worksheet, students compute the successive approximations for a given function. They compute the piecewise linear function to produce the approximation to the solution of the initial value problem. This four-page...
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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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The Product and Quotient Rules
In this produce and quotient rule activity, students identify the values of given limits. They justify given proofs and explore the derivative of the sine and tangent functions. This three-page activity contains explanations,...
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Limits and Functions
For this function worksheet, students compute the limits of given functions, they use differentials to estimate quantities, they compute the change in functional value and determine an equation for a line tangent to a graph. This...
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Worksheet 5: Functions & Limits
In this function worksheet, students determine the limits of functions, sketch graphs, and use the Intermediate-Value Theorem for functions. This two-page worksheet contains twenty-two problems.
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Worksheet 10: Differentiation
In this differentiation worksheet, students differentiate functions, sketch graphs of functions, determine the area of inscribed polygons, and use the Mean Value Theorem for functions and intervals. This four-page worksheet contains...
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Chapter 6 - Objective 4.1 Rate
In this rate worksheet, students read story problems, write equations, and determine the rate of given objects. They use proportions or equations to determine cost and value. This one-page worksheet contains ten multi-step problems.
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Graphing Linear Equations
In this graphing worksheet, students graph ten linear equations on each of the graphs provided. They first plug in some values to the given equation using a T-chart. This will give them their coordinates to use on the graph and form...
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Systems of Equations
In this systems of equations worksheet, students solve ten sets of problems by using the substitution method. They first decide which variable they are going to solve for, x or y. Then, students replace that value with the other equation...
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Kinetics and Temperature
In this kinetics worksheet, students calculate the value of the activation energy for reactions at given rate constants. This worksheet has 5 problems to solve.
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Kinetics AP Problems
In this kinetics worksheet, students determine the order for each reactant and the overall rate law for the reaction. Students also calculate the value of the rate constant. This worksheet has 1 problem to solve.
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MA 439-Math of Image Processing
In this image processing worksheet, students use a matrix to solve ten problems. For the first six problems, students are guided to the answer by carefully sequenced questions. The final four problems require students to make a series of...
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The Individual and Society
In this Individual and Society worksheet, students answer eight questions in short and extended response format. Point values are suggested.