1546 results for "form".
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Question in HELM books
State the general form of the equation of a straight line explaining the role of each of the terms in your answer.
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Question in Demos
The student is shown a plot of a mystery function. They can enter values of $x$ check, within the bounds of the plot.
They're asked to give the formula for the function, and then asked for its value at a very large value of $x$.
A plot of the student's function updates automatically as they type. Adaptive marking is used for the final part to award credit if the student gives the right value for their incorrect function.
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Question in MfEP Progress Quizzes
Two part question, student has to rearrange the heat flow formula (stated in the question) to make T_1 or T_2 the subject (variable is chosen randomly), then find the value of this variable when values of the other variables in the formula are given. These values are randomly chosen.
Note that the advice for this question has two versions, the one displayed to the student depends on which variable is selected by the question.
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Question in MfEP Progress Quizzes
Students need to solve a quadratic equation and recognise that only the positive root has physical significance. Roots are randomised with one always negative and one positive. Equation can be factorised fairly easily or the quadratic formula can be used to find the solution. Advice gives solution by factorisation.
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Question in Peter's workspace
Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.
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Question in MfEP Progress Quizzes
A two part question. Students are first given the formula for the time for a ball to come to rest after being dropped on a block. Part a) asks the students to rearrange the formula to make e, the coefficient of restitution, the subject of the formula. Part b) gives students realistic values for variables in the formula and asks them to calculate the coefficient of restitution using the formula derived in part a).
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Question in MfEP Progress Quizzes
Question asks students to find the time taken for an object thrown vertically upward from a platform to reach the ground. Set up randomly chooses environment to be on Earth, Mars or the Moon and uses appropriate acceleration due to gravity. The initial velocity of the body and height of the platform above the ground are randomly selected. In this version students are expected to write up their working and submit it seperately to the Numbas question. Students are expcted to recognise that only the positive solution has physical significance.
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Question in MASH Bath: Question Bank
Using given information to complete the equation $c= A \cos{ \left( \frac{2 \pi}{P} \left( t-H \right) \right) }+V $ that describes the concentration, $c$, of perscribed drug in a patient's drug over time, $t$. Calculating the maximum concentration and the concentration at a specific time.
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Question in MASH Bath: Question Bank
Calculating the rate of change of the temperature during a chemical reaction using the chain rule in a function of the form $T=ate^{-t}$, and finding the maximum temperature of the reaction.
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Question in MASH Bath: Question Bank
Calculating area under curves of the form $ax^2+bx$ and $ax^4+bx^3+cx^2+dx+e$ in a contextualised problem.
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Question in MASH Bath: Question Bank
The relationship between the frequency of an allele A, $x$, at a genetic locus in a diploid population and the fitness of a population with this frequency of allele A, $w$, is described by the function $w=ax^2+x(b-x)+c(b-x)^2$ . The aims are (a) ti simplify the algebraic expression, (b) calculate the fitness of a population with a given allele A frequency, and (c) calculate the allele A frequency when the fitness of the population is given.
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Question in MASH Bath: Question Bank
The proportion of the sodium carbonate, $p$, which has dissolved by time $t$ seconds is given by the formula $ p=\frac{bt-at^2}{c}$. The aim is to calculate the proportion of sodium carbonate in a solution at a given time and vice versa.
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Question in Skills Audits for Maths and Stats
Calculations involving Standard form.
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Question in Skills Audits for Maths and Stats
Convert numbers between 0 and 1 intro standard form/scientific notation.
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Question in Skills Audits for Maths and Stats
Convert numbers greater than 1 into standard form/scientific notation.
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Question in Skills Audits for Maths and Stats
Rewriting a trigonometric expression of the form $A\cos(\theta)\pm B\sin(\theta)$ to either $R\sin(\theta+\alpha)$ or $R\cos(\theta+\alpha)$ by calculating $R$ and $\alpha$.
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Question in Skills Audits for Maths and Stats
Rewriting a trigonometric expression of the form $A\sin(\theta)-B\cos(\theta)$ to $R\sin(\theta-\alpha)$ by calculating $R$ and $\alpha$.
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Question in Skills Audits for Maths and Stats
Calculate the volume of different 3D shapes, given the units and measurements required. The formulae for the volume of each shape are available as steps if required.
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Question in Skills Audits for Maths and Stats
Calculate the volume of different 3D shapes, given the units and measurements required. The formulae for the volume of each shape are available as steps if required.
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Question in Skills Audits for Maths and Stats
Calculating the integral of a function of the form $ax^2 \cos(bx)$ using integration by parts.
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Question in Skills Audits for Maths and Stats
Calculating the integral of a function of the form $\frac{nx^{n-1}}{x^n+a}$ using integration by substitution.
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Question in Skills Audits for Maths and Stats
Calculating the integral of a function of the form $\frac{c}{(x+a)(x+b)}$ using partial fractions.
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Question in Skills Audits for Maths and Stats
Calculating the derivative of a function of the form $\frac{ax^n}{bx+c}$ using the quotient rule.
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Question in Skills Audits for Maths and Stats
Calculating the derivative a function of the form $ax^n \sin(bx)$ using the product rule.
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Question in Skills Audits for Maths and Stats
Calculating the derivative of a function of the form $\sin(ax^m+bx^n)$ using the chain rule.
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Question in Skills Audits for Maths and Stats
Calculating the derivative of an exponential function of the form $ae^{bx}$, using a table of derivatives.
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Question in Skills Audits for Maths and Stats
Find the derivative of a function of the form $y=a \tan(bx+c)$ using a table of derivatives.
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Question in Skills Audits for Maths and Stats
Find the derivative of a function of the form $y=a \sin(bx+c)$ using a table of derivatives.
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Question in Skills Audits for Maths and Stats
Find the derivative of a function of the form $y=a \cos(bx+c)$ using a table of derivatives.
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Question in Skills Audits for Maths and Stats
Calculating the integral of a function of the form $a_1x^{b_1}+a_2x^{b_2}+a_3x^{b_3}$ using a table of integrals.