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Approximating a Multivariable Function
In this math worksheet, learners practice approximating the multivariable functions. They also complete the two problems in the form of a quiz.
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Multivariable Calculus: Visualizing Multivariable Functions
In this multivariable functions worksheet, students graph functions and describe the level sets of the function. This two page worksheet contains approximately ten problems.
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Multivariable Calculus: Limits of Multivariable Functions
For this multivariable function worksheet, students find the limits of a function, identify the domain, and explore continuous functions. This two page worksheet contains explanations, definitions, and examples. There are approximately...
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Math 212: Limits of Multivariable Function
In this multivariable function worksheet, students compute the limits of given functions and determine if a limit exists. This two page worksheet contains three problems.
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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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Multivariable Calculus: Extrema of Multivariable Functions
In this multivariable function worksheet, students determine the extrema of multivariable functions, classify critical points, and solve functions with given boundaries. This two page worksheet contains five multi-step problems as well...
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Multivariable Calculus: Extrema of Multivariable Functions
In this multivariable functions worksheet, students find the extrema of a function under given conditions. They find the maximum and minimum values of functions. This two page worksheet contains examples, explanations, and five problems.
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Math 224 Spring 2004: Limits of a Multivariable Function
In this multivariable function worksheet, students compute the limits of given functions. This two page worksheet contains three problems.
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Multivariable Calculus: Quiz 6
In this multivariable chain rule worksheet, students find the derivative of four multivariable functions. They make the change of variables when given the functions.
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Multivariable Calculus: The Jacobian Matrix
In this Jacobian matrix worksheet, students identify the derivative matrix of a function and use the tangent approximation to approximate vectors. This two-page worksheet contains six problems.
Whitman College
Calculus - Early Transcendentals
This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...
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Multivariable Optimization
In this multivariable optimization instructional activity, students determine the local maximum and local minimum of given functions. They identify the critical points for given function and match contour plots to the proper functions....
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Multivariable Calculus: Vector Functions
In this vector function worksheet, 12th graders identify a helix and a smooth curve. They find the equation of the tangent line to a helical curve. This two-page worksheet contains examples, explanations and approximately four problems.
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Multivariable Calculus: Introduction to Path Integrals
In this path integral worksheet, students compute line integrals under given conditions, define vector fields, and explore gradient fields, as well as a potential function. This two-page worksheet contains five problems.
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Modeling Natural Disaster with Mathematical Functions
Ninth graders investigate the functional relationship of different environmental phenomena. In this math lesson, 9th graders create models of various natural disasters. They use logarithmic and exponential functions to interpret...
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Partial Derivatives for a Function of Two Variables
For this partial derivatives worksheet, students complete one word problem by finding the (x,y) coordinates of a point when it moves parallel to one axis. When given a function, they find six partial derivatives. Students solve four...
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Multivariable Calculus: Implicit Differentiation
In this implicit differentiation worksheet, students compute the determinant of the Jacobian matrix and solve equations by implicit differentiation. This two-page worksheet contains definitions, examples, and explanations. It contains...
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Multivariable Calculus: Application of Partial Derivatives
In this partial derivatives worksheet, students find formulas for the vector partial derivative of a function. They prove that an elliptic cone can be represented parametrically. This two-page worksheet contains explanations, examples,...
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Multivariable Calculus: Bonus Quiz 6
In this gradient operator and gradient fields learning exercise, students determine if two vectors are gradient fields. They solve for the appropriate scalar functions of a vector variable. Students show that the gravitation al force...
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Multivariable Calculus: Multiple Integration
For this multiple integration worksheet, students identify the multiple integration of a given function. They evaluate integrals and identify their value. Students sketch a region of integration, write integrals in terms of rectangular...
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Multivariable Calculus: Gradient Fields and Vector Fields
In this gradient field worksheet students draw vectors which correspond to the gradient. They sketch vector fields and identify functions as a vector field or gradient fields. This two-page worksheet contains approximately five...
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Multivariable Calculus: The Gradient
For this gradient worksheet, students explore the definition of differentiable and gradient. They find the tangent approximation of given situations, and determine the directional derivative. This two-page worksheet contains examples,...
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Multivariable Calculus/ Method of LaGrange
In this math activity, learners write down the three equations which need to be solved in order to maximize P subject to the constraint.
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Multivariable calculus: Partial Derivatives
In this partial derivative instructional activity, students calculate the derivative of given problems and find the equation of the tangent plane to an equation. This two-page instructional activity contains five problems.