46 results authored by Ugur Efem - search across all users.
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Question in Ugur's workspace
Volume of a tetrahedron using integrals
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Question in Ugur's workspace
Calculating the area enclosed between a linear function and a quadratic function by integration. The limits (points of intersection) are not given in the question and must be calculated.
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Question in Ugur's workspace
Inputing Integrals tutorial
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Question in Ugur's workspace
3 Repeated integrals of the form $\int_a^b\;\int_c^{f(x)}g(x,y)\;dy \;dx$ where $g(x,y)$ is a polynomial in $x,\;y$ and $f(x)$ is a degree 0, 1 or 2 polynomial in $x$.
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Question in Ugur's workspace
Calculate a repeated integral of the form $\displaystyle I=\int_0^1\;\int_0^{x^{m-1}}mf(x^m+a)dy \;dx$
The $y$ integral is trivial, and the $x$ integral is of the form $g'(x)f'(g(x))$, so it straightforwardly integrates to $f(g(x))$.
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Exam (9 questions) in Ugur's workspace
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Question in Ugur's workspace
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Question in Ugur's workspace
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Question in Ugur's workspace
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Question in Ugur's workspace
questions on radius of convergence
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Exam (1 question) in Ugur's workspace
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