143 results for "curve".

### Refine by Refine by

• #### Topics

• Question

A function of the form (ax+b)/(x+c) is plotted. Student is asked to calculate the shaded area. Area is both above and below the x-axis.

• 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

$f(x)= ae^{-bt}+c$ is given and plotted. A few points are plotted on the curve. $x$-coordinates are provided for two of them and $y$-coordinate provided for third. Student is required to determine other coordinates.

• Question

Find roots and the area under a parabola

• Question

Function $f(x) = xe^{ax}$ is sketched and area shaded. Question is to determine the area under graph, exactly and (calculator) to 3 s.f. Area is above x-axis.

• Question
Calculate d2y/dx2 for a curve defined parametrically
• Question
Find the equation of the tangent to a curve defined parametrically
• Question
Calculate dy/dx for a curve defined parametrically
• Question

Parametric form of a curve, cartesian points, tangent vector, and speed.

• Question

Calculation of the length and alternative form of the parameteric representation of a curve, involving trigonometric functions.

• Question

Calculation of the length and alternative form of the parameteric representation of a curve.

• Question

Parametric form of a curve, cartesian points, tangent vector, and speed.

• Question

Intersection points, tangent vectors, angles between pairs of curves, given in parametric form.

• 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

Given $f(x)=(x+b)^n$. Find the gradient and equation of the chord between $(a,f(a))$ and $(a+h,f(a+h))$ for randomised values of $a$, $b$ and $h$.

• Question

No description given

• Question

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

• Question

Parametric form of a curve, cartesian points, tangent vector, and speed.

• 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

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

Find roots and the area under a parabola

• Question

Compute a table of values for a quadratic function. A JSXgraph plot shows the curve going through the entered values.

• Question

Compute a table of values for a quadratic function. A JSXgraph plot shows the curve going through the entered values.

• Question

Compute a table of values for a quadratic function. A JSXgraph (the graph paper) plot shows the curve going through the entered values. The student input is now disconnected from the graph so that they slide the points usually after they input the values and the answer fields are not updated.

• Question

Given a set of curves on axes, generated from a function and its first two derivatives, identify which curve corresponds to which derivative.

• Question

Find the area under a porabola.

• Question

Find the area under a curve. The step is given.

• Question

Slope of a curve at a point

• Question

Slope of a curve at a point

• Question

Find roots and the area under a parabola