503 results for "fraction".

Exam (13 questions) in Martin's workspace
Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

Question in Torris's workspace
Add, subtract, multiply and divide numerical fractions.

Question in STAT6012 Maths and Stats for Marketing
Add, subtract, multiply and divide algebraic fractions.

Question in STAT6012 Maths and Stats for Marketing
Add, subtract, multiply and divide algebraic fractions.

Question in Analytical Methods: LO1  Algebraic
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Question in Analytical Methods: LO1  Algebraic
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Question in Analytical Methods: LO1  Algebraic
Split $\displaystyle \frac{ax+b}{(cx + d)(px+q)}$ into partial fractions.

Question in Demos
Customised for the Numbas demo exam
Factorise $x^2+cx+d$ into 2 distinct linear factors and then find $\displaystyle \int \frac{ax+b}{x^2+cx+d}\;dx,\;a \neq 0$ using partial fractions or otherwise.
Video in Show steps.

Question in Howtos
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Question in Howtos
Lay out gapfills so the student has to enter either the numerator or denominator of a fraction.

Question in Howtos
Some custom CSS restyles the matrix input so it looks like a fraction, with input boxes on top and bottom.
Ideally, there should be a fraction input part type, or an option for the number entry part to display a fraction input.

Question in HowtosShows how to use the sqrtSquare simplification rule to display a randomlychosen fraction involving surds on either the top or bottom.

Question in Howtos
Display a fraction, given as a numerator and a denominator, as a mixed fraction when appropriate.

Question in Howtos
The student's answer is a fraction of two polynomials. First check that the student's answer is a fraction, then check that the numerator is of the form $x+a$.
To find the script, look in the Scripts tab of part a.

Question in PH023 Foundation Mathematics for Physicists 1
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Question in PH023 Foundation Mathematics for Physicists 1
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Question in Content created by Newcastle University
Find angle between plane $\Pi_1$, given by three points, and the plane $\Pi_2$ given in Cartesian form.
The calculation of $cos(\alpha)$ at the end of Advice has fractionNumbers switched on and so the result is presented as a fraction, which can be misleading. Best if calculation is followed through without using fractionNumbers.

Question in Content created by Newcastle University
Four questions on finding least upper bounds and greatest lower bounds of various sets.

Question in Content created by Newcastle University
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Question in Content created by Newcastle University
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Question in Content created by Newcastle University
Eight questions on finding least upper bounds and greatest lower bounds of various sets.

Question in Content created by Newcastle University
Two numbers are drawn at random without replacement from the numbers m to n.
Find the probability that both are odd given their sum is even.

Question in Content created by Newcastle University
Question on $\displaystyle{\lim_{n\to \infty} a^{1/n}=1}$. Find least integer $N$ s.t. $\ \left 1\left(\frac{1}{c}\right)^{b/n}\right \le10^{r},\;n \geq N$

Question in Content created by Newcastle University
$\displaystyle \int \frac{bx+c}{(ax+d)^n} dx=g(x)(ax+d)^{1n}+C$ for a polynomial $g(x)$. Find $g(x)$.

Question in Content created by Newcastle University
Find $\displaystyle\int \frac{ax^3ax+b}{1x^2}\;dx$. Input constant of integration as $C$.

Question in Content created by Newcastle University
Find $\displaystyle \int \frac{nx^3+mx^2+nx + p}{1+x^2}\;dx$. Solution involves $\arctan$.

Question in Content created by Newcastle University
Find $\displaystyle \int \frac{nx^3+mx^2+px +m}{x^2+1} \;dx$

Question in Content created by Newcastle University
Find the polynomial $g(x)$ such that $\displaystyle \int \frac{ax+b}{(cx+d)^{n}} dx=\frac{g(x)}{(cx+d)^{n1}}+C$.

Question in Content created by Newcastle University
Integrate $f(x) = ae ^ {bx} + c\sin(dx) + px^q$. Must input $C$ as the constant of integration.

Exam (4 questions) in Content created by Newcastle University
Find the integral of an improper fraction.