150 results for "theorem".
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Question in Engineering Statics
Write expressions for the moment of inertia of simple shapes about various axes.
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Question in DIAGNOSYS
No description given
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Question in Engineering Statics
Use the parallel axis theorem to find the area moment of inertia of a triangle and a rectangle about various axes.
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Question in Engineering Statics
Find moment of inertia of a shape which requires the use of the parallel axis theorem for a semicircle.
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Question in Engineering Statics
Find moment of inertia of a composite shape consisting of a rectangle and two triangles with respect to the x-axis. Shapes rest on the x-axis so the parallel axis theorem is not required.
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Question in Engineering Statics
Find the centroidal moment of inertia of a sideways T shape. This requires first locating the centroid, then applying the parallel axis theorem.
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Question in Engineering Statics
Use a table of properties to find the Area Moment of inertia for simple shapes: rectangle, triangle, circle, semicircle, and quarter circle.
The parallel axis theorem is not required for any of these shapes. One situation requires subtracting a triangle from a rectangle however.
Distinguish between centroidal and non-centroidal moments of inertia.
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Question in Introduction to Calculus
This question tests the student's knowledge of the remainder theorem and the ways in which it can be applied.
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Question in Introduction to Calculus
Quotient and remainder, polynomial division.
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Question in Cameron's workspace
Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.
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Exam (2 questions) in Brad's workspaceA quick quiz on dividing polynomials and using the factor theorem.
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Question in Andrew's workspace
Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.
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Question in Shaheen's workspace
Find modulus and argument of two complex numbers.
Then use De Moivre's Theorem to find powers of the complex numbers.
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Exam (7 questions) in Shaheen's workspace
Content assessed : complex arithmetic; argument and modulus of complex numbers; de Moivre's theorem.
This complex numbers in-class assesment counts 20% towards your final maths grade for WM104.
Note that although questions are randomised for each student, all questions test the same learning outcomes at the same level for each student.
If you have any questions during the test, please put up your hand to alert the invigilator that you need attention.
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Question in Content created by Newcastle University
(Green’s theorem). $\Gamma$ a rectangle, find: $\displaystyle \oint_{\Gamma} \left(ax^2-by \right)\;dx+\left(cy^2+px\right)\;dy$.
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Question in Content created by Newcastle University
Solving three simultaneous congruences using the Chinese Remainder Theorem:
\[\begin{eqnarray*} x\;&\equiv&\;b_1\;&\mod&\;n_1\\ x\;&\equiv&\;b_2\;&\mod&\;n_2\\x\;&\equiv&\;b_3\;&\mod&\;n_3 \end{eqnarray*} \] where $\operatorname{gcd}(n_1,n_2,n_3)=1$
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Question in Content created by Newcastle University
Solving three simultaneous congruences using the Chinese Remainder Theorem:
\[\begin{eqnarray*} x\;&\equiv&\;b_1\;&\mod&\;n_1\\ x\;&\equiv&\;b_2\;&\mod&\;n_2\\x\;&\equiv&\;b_3\;&\mod&\;n_3 \end{eqnarray*} \] where $\operatorname{gcd}(n_1,n_2,n_3)=1$
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Question in Content created by Newcastle University
Cauchy's integral theorem/formula for several functions $f(z)$ and $C$ the unit circle.
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Exam (13 questions) in Content created by Newcastle University
Questions about complex arithmetic; argument and modulus of complex numbers; complex roots of polynomials; de Moivre's theorem.
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Question in Content created by Newcastle University
Find modulus and argument of two complex numbers. Then use De Moivre's Theorem to find negative powers of the complex numbers.
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Question in Transition to university
Apply the factor theorem to check which of a list of linear polynomials are factors of another polynomial.
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Question in Transition to university
This question tests the student's knowledge of the remainder theorem and the ways in which it can be applied.
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Question in Transition to university
Given a factor of a cubic polynomial, factorise it fully by first dividing by the given factor, then factorising the remaining quadratic.
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Finding the full factorisation of a polynomial, using the Factor Theorem and long division Ready to useQuestion in Transition to university
Use a given factor of a polynomial to find the full factorisation of the polynomial through long division.
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Question in Transition to university
This question tests the student's ability to find remainders using the remainder theorem.
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Exam (5 questions) in Transition to university
Apply the factor and remainder theorems to manipulate polynomial expressions
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Question in Blathnaid's workspace
Solving three simultaneous congruences using the Chinese Remainder Theorem:
\[\begin{eqnarray*} x\;&\equiv&\;b_1\;&\mod&\;n_1\\ x\;&\equiv&\;b_2\;&\mod&\;n_2\\x\;&\equiv&\;b_3\;&\mod&\;n_3 \end{eqnarray*} \] where $\operatorname{gcd}(n_1,n_2,n_3)=1$
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Question in NC PreCalculus
No description given
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Question in College Algebra for STEM
Quotient and remainder, polynomial division.
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Question in Trignometry
Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.