40 results authored by Ugur Efem - search across all users.
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Question in Ugur's workspace
moment of inertia - cylinder
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Question in Ugur's workspace
Double integral in polar coordinates - concentric circles
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Question in Ugur's workspace
moment of inertia - cylinder
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Exam (9 questions) in Ugur's workspace
set of exercises on double and triple integrals
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Question in Ugur's workspace
mass of tetrahedron via integration
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Question in Ugur's workspace
Taylor Approximation ofr $\cos(2x)$
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Question in Ugur's workspace
power series expansions for sine
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Exam (7 questions) in Ugur's workspace
Various question on power series
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Question in Ugur's workspace
Multiple response question (4 correct out of 8) covering properties of convergent and divergent series and including questions on power series. Selection of questions from a pool.
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Question in Ugur's workspace
Find the first 3 terms in the MacLaurin series for $f(x)=(a+bx)^{1/n}$ i.e. up to and including terms in $x^2$.
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Question in Ugur's workspace
Find the first 3 terms in the Taylor series at $x=c$ for $f(x)=(a+bx)^{1/n}$ i.e. up to and including terms in $x^2$.
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Exam (8 questions) in Ugur's workspace
Series Homework 2
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Question in Ugur's workspace
question involving caomparison test and absolute convergence
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Exam (10 questions) in Ugur's workspace
Questions on Vector Calculus
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Question in Ugur's workspace
Curl and divergence of a vector field. Determine whether the vector field is irrotational or solenoidal.
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Question in Ugur's workspace
Parametric form of a curve, cartesian points, tangent vector, and speed.
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Question in Ugur's workspace
Parametric form of a curve, cartesian points, tangent vector, and speed.
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Ugur's copy of Find points of intersection, tangents, and angles between parametric curves Ready to useQuestion in Ugur's workspace
Intersection points, tangent vectors, angles between pairs of curves, given in parametric form.
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Question in Ugur's workspace
Calculation of the length and alternative form of the parameteric representation of a curve, involving trigonometric functions.
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Question in Ugur's workspace
Divergence of vector fields.
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Question in Ugur's workspace
Directional derivative of a scalar field.
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Question in Ugur's workspace
Gradient of $f(x,y,z)$.
Should warn that multiplied terms need * to denote multiplication.
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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
No description given
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Question in Ugur's workspace
Status: Ready to use -
Question in Ugur's workspace
No description given