Exam (elaborations)
Multivariable Calculus with Questions and Correct Answers
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2023/2024
Distance between two points (a,b,c) and (x,y,z) - d = sqrt((x-a)^2 + (y-b)^2 + (z-c)^2) cross sections vs level curves - cross sections: vertical slices of the graph of f(x,y) formed using vertical planes x=c (f(c,y)=z) or y=c (f(x,c)=z). Level curves: horizontal slices of f(x,y) using horizontal planes z=c (f(x,y) =c). Both used to plot graphs of functions with multiple variables. contour diagrams - a family of graphs of the equation f(x,y) = c plotted in the xy-plane, for set values of c, usually labeled by the values. Values of c usually plotted in equal increments. (like topographical map) m and n - m= slope in positive x direction dz/dx (holding y constant)
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Institution
Calculus
Course
Calculus
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Written for
- Institution
- Calculus
- Course
- Calculus
Document information
- Uploaded on
- April 30, 2024
- Number of pages
- 17
- Written in
- 2023/2024
- Type
- Exam (elaborations)
- Contains
- Questions & answers
Subjects
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multivariable calculus study guide
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for better understanding of calculus concepts
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