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Discussion Sheet 9: Functions and Limits
In this function and limits activity, students identify a one-to-one correspondence and identify an inverse function. They compute limits of functions. This two-page activity contains five multi-step problems.
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The Geometric Interpretation of Partial Derivatives
For this partial derivative worksheet, students compute partial derivatives at a given point. They measure the slope tangent to the surface at the point. This one-page worksheet contains two multi-step problems.
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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 7: Distance and Rate
In this distance and rate instructional activity, students determine the rate in which something is moving, and explore the rate a surface area of a cube is changes under given circumstances. This one-page instructional activity...
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Worksheet 6: Derivative & Slope
In this derivative and slope learning exercise, students find the derivative of given equations. They identify the slope of a line tangent to a graph and find the concavity of a graph. This one-page learning exercise contains seven...
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Maclaurin Series Quiz
In this Maclaurin series worksheet, 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 worksheet contains two multi-step...
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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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Implicit Differentiation
In this implicit differentiation worksheet, students use the chain rule to solve for the derivative. The find the equation for the tangent line at a given point and determine if the line is vertical. This two-page worksheet contains...
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Differentiability and Linear Approximation
In this differentiability learning exercise, students write expressions for a tangent line approximation to a graph, determine the limits, and use Taylor's theorem to differentiate given functions. This three-page learning exercise...
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Worksheet 14: Integrals
In this integral worksheet, students evaluate integrals and determine the volume of given polygons bounded by graphs. This three-page worksheet contains approximately twenty multi-step problems.
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Worksheet 2: Evaluating Functions
In this function learning exercise, students evaluate sums, estimate the area of the region between graphs, estimate the volume of a hemisphere, and use subintervals and the limit definition integrals to evaluate functions. This two page...
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Challenge Sheet 3: Average Value of a Function
In this average value worksheet, students determine the average value of functions, sketch graphs of continuous intervals, evaluate integrals, find the average value of a function and convert limits to a definite integral. This one-page...
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Challenge Sheet 7: Area and Cross-Sections
In this area instructional activity, students set up integrals which evaluate the area of a region bounded by graphs. they use vertical and horizontal cross-sections. This two-page instructional activity contains seven multi-step...
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Quiz 1: Sums
In this sums worksheet, students evaluate sums. They use the limit definition of the definite integral to evaluate a function. This two-page worksheet contains four multi-step problems.
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Volume of 3-D Figures
In this volume worksheet, students compute the volume of 3-D figures bounded by graphs. They identify a solid formed by rotation about a given line. Students use the Disc Method and the Shell Method to make their computations. This...
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Area of Cross-Sections
For this area worksheet, students find the area of regions bounded by graphs. They set up integral equations for determining the vertical cross-section and the horizontal cross-section of a given figure. This one-page worksheet...
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Functions and Slopes
In this function worksheet, students find the slope of a line tangent to a given graph, they derive formulas for the area and perimeter of a given right triangle, they graph functions, and compute the derivative of functions. This...
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Continuous Functions
In this continuous function worksheet, students determine the average velocity of objects over given intervals of time. They compute the derivative of functions and determine the slope of a line. This four-page worksheet contains...
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Instantaneous Velocity
In this velocity learning exercise, learners determine the average and instantaneous velocity. They compute the derivative of given functions. This one-page learning exercise contains seven multi-step problems.
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Domain & Range of Functions
In this function worksheet, students determine the domain and range of given functions. They identify terms in a sequence of integers, This two-page worksheet contains seven multi-step problems.
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Worksheet 13: Slope and Concavity
In this function worksheet, students determine the equation of a line, compute slope and concavity of a graph, and find the maximum volume of three-dimensional figures. This one-page worksheet contains six multi-step problems.
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Worksheet 14 1/2: Newton's Method
In this Newton's Method worksheet, students use Newton's Method to estimate the largest root and sketch graphs. This one-page worksheet contains six multi-step 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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The Integral Test
In this integral test, students determine the limits, give partial sums of infinite series, explore geometric series, and use the Integral Test to determine if a function converges. This two-page worksheet contains six multi-step problems.