734 results for "graph".

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• Question

Write down the Newton-Raphson formula for finding a numerical solution to the equation $e^{mx}+bx-a=0$. If $x_0=1$ find $x_1$.

Included in the Advice of this question are:

6 iterations of the method.

Graph of the NR process using jsxgraph. Also user interaction allowing change of starting value and its effect on the process.

• 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

Two quadratic graphs are sketched with some area beneath them shaded. Question is to determine the area of shaded regions using integration. The first graph's area is all above the $x$-axis. The second graph has some area above and some below the $x$-axis.

• Question

Graphs are given with areas underneath them shaded. The student is asked to select the correct integral which calculates its area.

• Question

Q1. True/false questions about basic facts.

Q2 and Q3. Velocity-time graphs are given with areas underneath them shaded. The area of the shaded regions are given. From this, definite integrals of v ar eto be determined.

• Maria's copy of Odd Functions
Needs to be tested
Question

A graphical introduction to the concept of even functions a symmery

• Maria's copy of Even Functions
Needs to be tested
Question

A graphical introduction to the concept of even functions a symmery

• Question

Q1. True/false questions about basic facts.

Q2 and Q3. Velocity-time graphs are given with areas underneath them shaded. The area of the shaded regions are given. From this, changes in position, distances are to be calculated.

• Question

Graphs are given with areas underneath them shaded. The area of the shaded regions are given and from this the value of various integrals are to be deduced.

• 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

A graph is drawn. A student is to identify the derivative of this graph from four other graphs. There are four such questions.

• 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.

• Min_max_v1
Draft
Question

Calculate the local extrema of a function ${f(x) = e^{x/C1}(C2sin(x)-C3cos(x))}$

The graph of f(x) has to be identified.

The first derivative of f(x) has to be calculated.

The min max points have to be identified using the graph and/or calculated using the first derivative method.  Requires solving trigonometric equation

• JSXGraph demo
Exam (3 questions) in Demos

Some questions which use JSXGraph to create interactive graphics.

• Question

A graph is drawn. A student is to identify the derivative of this graph from four other graphs.

Version II. Graph is horizontal

Version III. Graph is cubic

Version IV. Graph is sinusoidal

• 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

No description given

• 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

Several graphs are drawn. Student should select those that are cubics

• 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

Write down a lexicographic parity check matrix for a Hamming code and correct two received codewords.

• Question

Write down the lexicographic parity check matrix for a Hamming code, and correct two received codewords.

• Question

Determine the correct parametric representation of a given curve.  Curve is randomly chosen from a set of 20.

The graph of the curve was not displayed on my machine.

• Question

Approximating integral of a quadratic by Riemann sums . Includes an interactive graph in Advice showing the approximations given by the upper and lower sums and how they vary as we increase the number of intervals.

• Question

Approximating integral of a quadratic by Riemann sums . Will include an interactive graph in Advice showing the approximations given by the upper and lower sums and how they vary as we increase the number of intervals.

• Question

A graphical approach to aiding students in writing down a formal proof of discontinuity of a function at a given point.

Uses JSXgraph to sketch the graphs and involves some interaction/experimentation by students in finding appropriate intervals.

• Question

Approximating integral of a quadratic by Riemann sums . Includes an interactive graph in Advice showing the approximations given by the upper and lower sums and how they vary as we increase the number of intervals.

• Question

Approximating integral of a linear function by Riemann sums . Includes an interactive graph in Advice showing the approximations given by the upper and lower sums and how they vary as we increase the number of intervals.