89 results authored by Blathnaid Sheridan - search across all users.
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Question in Blathnaid's workspace
This question tests the students ability to factorise simple quadratic equations (where the coefficient of the x^2 term is 1) and use the factorised equation to solve the equation when it is equal to 0.
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Exam (4 questions) in Blathnaid's workspace
Practice questions on these topics.
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Question in Blathnaid's workspace
No description given
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Exam (9 questions) in Blathnaid's workspace
Calculations involving elementary probability, and several questions designed to draw out misconceptions to do with probability.
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Question in Blathnaid's workspace
Given some random finite subsets of the natural numbers, perform set operations ∩,∪ and complement.
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Question in Blathnaid's workspace
Find ∫x(ax2+b)mdx
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Question in Blathnaid's workspace
Definite Intgerals
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Question in Blathnaid's workspace
Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.
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Question in Blathnaid's workspace
Given two numbers, find the gcd, then use Bézout's algorithm to find s and t such that as+bt=gcd(a,b). Finally, find all solutions of an equation \mod b.
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Question in Blathnaid's workspace
This question tests the students ability to factorise simple quadratic equations (where the coefficient of the x^2 term is 1) and use the factorised equation to solve the equation when it is equal to 0.
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Question in Blathnaid's workspace
Given two numbers, find the gcd, then use Bézout's algorithm to find s and t such that as+bt=\operatorname{gcd}(a,b).
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Question in Blathnaid's workspace
This question tests the students ability to factorise simple quadratic equations (where the coefficient of the x^2 term is 1) and use the factorised equation to solve the equation when it is equal to 0.
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Question in Blathnaid's workspace
Differentiate (a+bx) ^ {m} \sin(nx)
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Question in Blathnaid's workspace
Finding the modulus and argument (in radians) of four complex numbers; the arguments between -\pi and \pi and careful with quadrants!
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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 Blathnaid's workspace
This question aims to test understanding and ability to use the laws of indices.
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Question in Blathnaid's workspace
Express \log_a(x^{c}y^{d}) in terms of \log_a(x) and \log_a(y). Find q(x) such that \frac{f}{g}\log_a(x)+\log_a(rx+s)-\log_a(x^{1/t})=\log_a(q(x))
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Exam (1 question) in Blathnaid's workspace
Given two numbers, find the gcd, then use Bézout's algorithm to find s and t such that as+bt=\operatorname{gcd}(a,b).
Finally, find all solutions of an equation \mod b.
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Exam (1 question) in Blathnaid's workspace
Given two numbers, find the gcd, then use Bézout's algorithm to find s and t such that as+bt=\operatorname{gcd}(a,b).
Finally, find all solutions of an equation \mod b.
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Question in Blathnaid's workspace
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Exam (6 questions) in Blathnaid's workspace
6 questions on standard statistical distributions.
Binomial, Poisson, Normal, Uniform, Exponential.
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Blathnaid's copy of Roll a pair of dice - find probability at least one die shows a given number. DraftQuestion in Blathnaid's workspace
Rolling a pair of dice. Find probability that at least one die shows a given number.
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Exam (6 questions) in Blathnaid's workspace
Practice questions on these topics.
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Exam (6 questions) in Blathnaid's workspace
One question on determining whether statements are propositions.
Four questions about truth tables for various logical expressions.
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Question in Blathnaid's workspace
Evaluate \int_0^{\,m}e^{ax}\;dx, \int_0^{p}\frac{1}{bx+d}\;dx,\;\int_0^{\pi/2} \sin(qx) \;dx.
No solutions given in Advice to parts a and c.
Tolerance of 0.001 in answers to parts a and b. Perhaps should indicate to the student that a tolerance is set. The feedback on submitting an incorrect answer within the tolerance says that the answer is correct - perhaps there should be a different feedback in this case if possible for all such questions with tolerances.
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Question in Blathnaid's workspace
Simple Indefinite Integrals
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Question in Blathnaid's workspace
No description given
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Exam (1 question) in Blathnaid's workspace
Critical points, absolute minimum, local maximum and minimum points, increasing and decreasing, concavity
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Exam (1 question) in Blathnaid's workspace
Critical points, absolute minimum, local maximum and minimum points, increasing and decreasing, concavity
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Question in Blathnaid's workspace
Indices
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