909 results for "line".

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• Question

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix.

• Question

Linear combinations of $2 \times 2$ matrices. Three examples.

• Question in Stats

Conduct a linear regression analysis using a spreadsheet or stats program.

• Question in How-tos

There are copious comments in the definition of the function eqnline about the voodoo needed to have a JSXGraph diagram interact with the input box for a part.

• Question in Stats

Find a regression equation.

• Question in Stats

True/false question type to assess knowledge of the basics of linear correlation and regression.

• Question

Multiple choice question. Given a randomised polynomial select the possible ways of writing the domain of the function.

• Exam (40 questions)

A set of MCQ designed to help Level 2 Engineering students prepare/practice for the on-line GOLA test that is used to assess the C&G 2850, Level 2 Engineering, Unit 202: Engineering Principles.

• Question

Multiple choice question. Given a randomised polynomial select the possibe ways of writing the domain of the function.

• Question

Add, subtract, multiply and divide algebraic fractions.

• Question

Add, subtract, multiply and divide algebraic fractions.

• Question

A function $f(x) = cln(ax^2+bx) -x$ is sketched and tangent is also drawn. The equation of the tangent line is asked for and $x$-coordinate for horizontal tangent is asked for. Calculator.

• Question

Split $\displaystyle \frac{ax+b}{(cx + d)(px+q)}$ into partial fractions.

• Question
The 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).
• Question

No description given

• Exam (15 questions)
Plot linear functions and identify key characteristics.
• Question

A quadratic is and a graph of it is given. A tangent is also sketched. The equation of the tangent line is asked for.

• Question

No description given

• Question

An applied example of the use of two points on a graph to develop a straight line function, then use the t estimate and predict. MCQ's are also used to develop student understanding of the uses of gradient and intercepts as well as the limitations of prediction.

• Numbas demo: video
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

A quadratic is and a graph of it is given. A tangent is also sketch. The equation of the tangent line is asked for.

• Question in How-tos

A line with random $x$- and $y$- intercepts is plotted, and you have to drag two dots over the points where the line crosses the $x$ and $y$ axes.

• Question in How-tos

Construct a line in a GeoGebra worksheet by writing its definition string by hand.

This isn't a very neat way of doing this. It's easier to define two points in GeoGebra, then make a line through those points. You can set the positions of the points from Numbas using vectors.

• Question in How-tos

Construct a line through two points in a GeoGebra worksheet. Change the line by setting the positions of the two points when the worksheet is embedded into the question.

• Question
Formulate a recurrence relation (= difference equation) and solve this recurrence relation.
• Question

Use two points on a line graph to calculate the gradient and $y$-intercept and hence the equation of the straight line running through both points.

The answer box for the third part plots the function which allows the student to check their answer against the graph before submitting.

This particular example has a positive gradient.

• Question

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!

• Question

Given a linear programming problem in standard form, write down the dual problem.

• Question

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• Question

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