10640 results.
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Question in HELM books
Given parametric equations, graph the function and obtain an explicit equation. Part of HELM Book 2.2.2.
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Question in HELM books
Use parametric equations to find x for a given value of y. Part of HELM Book 2.2.2.
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Question in HELM books
Graph x^2 - y^2 = 1 from a parametric definition. Part of HELM Book 2.2.2.
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Question in Bases matemáticas
Resolver una ecuación de 1er grado con fracciones
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Question in Bases matemáticas
sinB y secA en triángulo rectángulo
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Question in Bases matemáticas
Evaluación de una expresión algebraica con dos variables
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Exam (3 questions) in HELM books
Exercises for HELM Book 2.2.1
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Question in HELM books
Identify the value that is not part of the domain of a function. Part of HELM Book 2.2.1.
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Question in HELM books
Draw a graph of y=x^3 by plotting points. Part of HELM book 2.2.1
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Question in HELM books
Graph a linear or quadratic function and state its domain and range. Part of HELM Book 2.2.1.
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Question in HELM books
Asked to define a function term, e.g. domain, or x(t). Part of HELM book 2.2.1.
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Question in HELM books
Graph the function y=x^2+2 on [-3,3] by plotting points. State the domain and range. This is part of HELM Book 2.2.1.
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Question in How-tos
This question models an experiment: the student must collect some data and enter it at the start of the question, and the expected answers to subsequent parts are marked based on that data.
The student's values of the variables width, depth and height are stored once they move on from the first part.
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Question in How-tos
This question models an experiment: the student must collect some data and enter it at the start of the question, and the expected answers to subsequent parts are marked based on that data.
A downside of working this way is that you have to set up the variable replacements on each part of the question. You could avoid this by using explore mode.
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Question in HELM books
Evaluate a composition of functions for a randomised numerical input. The functions are 3t+2 and t+3. This is part of HELM Book 2.1.3.
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Exam (3 questions) in HELM books
HELM book 2.1.3 exercises
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Question in HELM books
Given f(x)=(x+a)/(x+b) and g(x) = 1/x, compute f(g(x)) and g(f(x)).
a and b are randomised integers.
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Question in HELM books
Given 2 randomised functions f(x) (linear) and g(x) (quadratic), find one of f(f), f(g), g(f) or g(g) at a randomised integer x-value
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Question in HELM books
Given 2 randomised functions f (linear) and g (quadratic), find one of f(f), f(g), g(f) or g(g)
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Question in David's workspace
An economic dispatch problem with three generators. The steps help the students to solve this using lagrangian multipliers. This question is designed to allow students studying economic dispatch to practice solving the problem.
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Question in How-tos
The student has to enter `diff(y,x,2)`, equivalent to $\frac{\mathrm{d}^2y}{\mathrm{d}x^2}$, as their answer. It's marked by pattern matching, using a custom marking algorithm.
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Question in MfEP Progress Quizzes
Simultaneous equations question. values for the coefficients are generated to be small numbers, random values are generated for the weights and the resultant energies are calculated for the question. Student needs to solve equations to find coefficients. Advice gives solution using method of elimination.
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Question in Alexander's workspace
Express $\displaystyle \frac{a}{x + b} \pm \frac{c}{x + d}$ as an algebraic single fraction over a common denominator.
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Question in MASH Bath: Question Bank
Solve linear equations with unknowns on one. Including brackets and fractions. Solutions may require rounding.
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Question in MfEP Progress Quizzes
Student is asked to find the distance from a given point, A, to a house, given the distance between A and another point B, and the angles at A and B. Requires use of the sine rule. Distance and angles are randomised.
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Question in MfEP Progress Quizzes
Student is asked to find the distance from a given point, B, to a house, given the distance between B and another point A, and the angles at A and B. Requires use of the sine rule. Distance and angles are randomised.
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Question in MfEP Progress Quizzes
Question about use of trig identities, student has to use identities to find exact value of \(\sin \frac{\pi}{12}\). Question is used in exam where student has to write out the solution and upload it for grading.
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Question in MfEP Progress Quizzes
Question about use of trig identities, student has to use identities to find exact value of \(\cos \frac{7\pi}{12}\). Question is used in exam where student has to write out the solution and upload it for grading.
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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 MfEP Progress Quizzes
Simultaneous equation problem as circuit analysis to find unknown currents. Students need to solve the equations and type in the solutions for each variable. Advice is given in terms of solution by elimination.