Math 1172 final exam - Study guides, Class notes & Summaries
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Math 1172 Final Exam Solved
- Exam (elaborations) • 8 pages • 2024
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Integral of 1/(x^2+a^2) (1/a)arctan(x/a)+C 
 
Area between two curves Integral of the upper curve minus the lower curve 
 
Volume of a solid Integral of the area 
 
How do you use the washer method to find volume? pi*the integral of R^2-r^2 
 
How do you use the shell method to find volume? 2pi*the integral of ro*h 
 
Use this method when the rectangles are parallel to the axis of rotation Shell method 
 
Use this method when the rectangles are perpendicular to the axis of rotation Washer method...
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OSU MATH 1172 Final Exam with Solutions
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(T/F) if u and v are not ‖, |scal_v_u|<|u| - True. Geometrically: scal_v_u is the magnitude of the ‖ component of u in the direction of v; the only way that this magnitude can be equal to the magnitude of the vector u itself is if u is in the same direction as v. 
 
(T/F) if u and v are not ‖, |scal_v_u|<|scal_u_v| - Not enough information given. Geometrically: scal_v_u is the magnitude of the ‖ component of u in the direction of v. Vice versa for scal_u_v. If the magnitude of u ...
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