177 results for "constant".
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Question in Ugur's workspace
Students are given an exponential equation and asked to evaluate it at two points.
The constants in the exponential are randomised.
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Question in ACFI1003Find the present value of a share which returns a constant dividend (similar to a perpetuity)
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Question in Ugur's workspace
Students are given an exponential equation and asked to evaluate it at two points.
The constants in the exponential are randomised.
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Exam (3 questions) in Demos
A few questions showing how to use custom constants in different contexts.
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Question in Demos
In this question, $\tau$ represents the ratio of a circle's radius to its circumference, or $2\pi$.
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Question in ENG1003 20-21Simple calculation of a Coulomb force between two point charges to highlight the importance of units and the inclusion of the correct constants.
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Question in Engineering Statics
Calculate reactions and shear and bending moment at a point for an overhanging beam with a constant or uniformly varying distributed load.
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Question in Bill's workspace
Solve for $x(t)$, $\displaystyle\frac{dx}{dt}=\frac{a}{(x+b)^n},\;x(0)=0$
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Question in How-tosA custom marking algorithm picks out the names of the constants of integration that the student has used for the $\cos$ and $\sin$ terms in their answer, and replaces them with $A$ and $B$ respectively, before comparing with the correct answer. This way, the student is free to choose the names for their constants of integration.
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Question in How-tos
A custom marking algorithm for a JME part estabishes whether the student's answer is equivalent to the expected answer, up to an arbitrary constant factor.
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Question in Joël's workspace
Factorise polynomials by identifying common factors. The first expression has a constant common factor; the rest have common factors involving variables.
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Question in Tom's workspace
A simple ideal gas law question, using number of molecules, that asks the student to calculate one of the four variables. he question can ask for either L atm, or kPa m3, and either K or C for temp. As such the boltzmann constant is in either J/K or L atm/K.
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Question in Tom's workspace
A random heating question, that randomly picks a material, and then heats it through either one or two phase changes, provides an example graph of the heating with scaled temperature ranges (though not with scaled latent and specific heats), and a table with the suitable constants.
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Calculate the distance an object falls in a given time under gravity on various planets. Ready to useQuestion in Standard Maths
Students need to substitute a value into an equation and solve it. The equation constant (gravity) and the value (time) are both randomised.
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Question in Bill's workspace
Find $\displaystyle \int \frac{a}{(bx+c)^n}\;dx$
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Question in Bill's workspace
Find $\displaystyle \int ae ^ {bx}+ c\sin(dx) + px ^ {q}\;dx$.
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Question in Bill's workspace
Find $\displaystyle \int ax ^ m+ bx^{c/n}\;dx$.
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Question in Bill's workspace
Find $\displaystyle \int\cosh(ax+b)\;dx,\;\;\int x\sinh(cx+d)\;dx$
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Question in Bill's workspace
First part: Express $\displaystyle \frac{a}{px + b} +\frac{c}{qx + d},\;a=-c$. Numerator is an integer.
Second part: $\displaystyle \frac{a}{px + b} +\frac{c}{qx + d}+ \frac{r}{sx+t}$ as single fraction
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Question in CHY1201 - SpectroscopyThe reduced masses are pre-calculated for this question and included in a list. It would be more elegant to program Numbas to permute atoms together to generate diatomic molecules while constraining the permutations to those which are chemically/physically reasonable, so as to allow calculation of each reduced mass directly from the atomic masses- but organising this with high computational efficiency might be a significant programing task (add to "to do" list).
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Question in Johnathan's workspaceFinding parameters of a factorised quadratic based on x-intercepts at vertex. Function has one intercept at origin and one at a positive integer value. Constant multiplier is randomised and requires vertex in order to calculate.
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Question in CHY1201 - SpectroscopyThe reduced masses are pre-calculated for this question and included in a list. It would be more elegant to program Numbas to permute atoms together to generate diatomic molecules while constraining the permutations to those which are chemically/physically reasonable, so as to allow calculation of each reduced mass directly from the atomic masses- but organising this with high computational efficiency might be a significant programing task (add to "to do" list).
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Question in Demos
The student is asked to give the Avogadro constant in scientific form, calculate the mass of a number of moles of carbon, in grams, and then calculate the number of molecules in that mass.
This is a demonstration of the high-precision decimal arithmetic in Numbas v4.0.
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Question in Content created by Newcastle University
Find the solution of a constant coefficient second order ordinary differential equation of the form $ay''+by=0$. Complex roots.
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Question in CHY1201 - SpectroscopyThe reduced masses are pre-calculated for this question and included in a list. It would be more elegant to program Numbas to permute atoms together to generate diatomic molecules while constraining the permutations to those which are chemically/physically reasonable, so as to allow calculation of each reduced mass directly from the atomic masses- but organising this with high computational efficiency might be a significant programing task (add to "to do" list).
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Question in CHY1201 - SpectroscopyThe reduced masses are pre-calculated for this question and included in a list. It would be more elegant to program Numbas to permute atoms together to generate diatomic molecules while constraining the permutations to those which are chemically/physically reasonable, so as to allow calculation of each reduced mass directly from the atomic masses- but organising this with high computational efficiency might be a significant programing task (add to "to do" list).
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Question in CHY1201 - SpectroscopyThe reduced masses are pre-calculated for this question and included in a list. It would be more elegant to program Numbas to permute atoms together to generate diatomic molecules while constraining the permutations to those which are chemically/physically reasonable, so as to allow calculation of each reduced mass directly from the atomic masses- but organising this with high computational efficiency might be a significant programing task (add to "to do" list).
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Question in Fundamental Physical Chemistry CIT
Calculating the work done by 1 mole of an ideal gas at constant temperature.
Q12 from Thermochemistry revision sheet
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Question in MATH6006 Integration
Integration by susbtitution. Use the letter C for the constant.
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Question in Content created by Newcastle University
Find the Cartesian form $ax+by+cz=d$ of the equation of the plane $\boldsymbol{r=r_0+\lambda a+\mu b}$.
The solution is not unique. The constant on right hand side could be given to ensure that the left hand side is unique.