29 results authored by Paul Howes  search across all users.

Question in CLE3
What is the function of the given graph?

Question in Paul's workspace
$I$ compact interval. $\displaystyle g: I \rightarrow I, g(x)=\frac{ax}{x^2+b^2}$. Find stationary points and local maxima, minima. Using limits, has $g$ a global max, min?

Exam (11 questions) in Paul's workspace
Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

Paul 's copy of Maths Support: Maxima and minima for differentiable functions on intervals Ready to useExam (5 questions) in Paul's workspace
5 questions on finding local and global maxima and minima on compact intervals and on the real line for differentiable functions.

Question in CLE5
Given a graph of some function f, the student is asked for values of $f$ and its inverse. Function is cubic and invertible.

Question in CLE5
Finding the stationary points of a cubic with two turning points

Question in CLE3
Choose the graph that represents the differential of the given graph

Question in CLE3
No description given

Question in CLE3
No description given

Question in CLE3
Using Pythagoras' theorem to determine a nonhypotenuse side, where side lengths include surds and students enter using sqrt syntax

Question in CLE3
Converting Radians to Degrees

Question in CLE3
Converting Degrees to Radians

Question in CLE3
Areas of triangles
rebelmaths

Question in CLE3
Given the original formula the student enters the transformed formula

Question in CLE3
Recall and use of formulae for volume and surface area of a sphere.

Question in CLE3
Finding surface area and volume, given formulae.

Question in CLE3
Area and circumference of circles

Question in CLE3
Using Pythagoras' theorem to determine the hypotenuse, where side lengths include surds and students enter using sqrt syntax

Question in CLE2
Given the original formula the student enters the transformed formula

Question in CLE3
Finding lengths of sides of triangles

Question in CLE2
This question asks a student to draw a straight line graph by dragging points.

Question in CLE1
Converting to standard form in both positive and negative powers

Question in CLE1
No description given

Question in CLE1
No description given

Question in Paul's workspace
$I$ compact interval. $\displaystyle g: I\rightarrow I, g(x)=\frac{x^2}{(xc)^{a/b}}$. Are there stationary points and local maxima, minima? Has $g$ a global max, global min?

Question in Paul's workspace
$g: \mathbb{R} \rightarrow \mathbb{R}, g(x)=\frac{ax}{x^2+b^2}$. Find stationary points and local maxima, minima. Using limits, has $g$ a global max, min?

Question in Paul's workspace
$I$ compact interval, $g:I\rightarrow I$, $g(x)=(xa)(xb)^2$. Stationary points in interval. Find local and global maxima and minima of $g$ on $I$.

Question in Paul's workspace
$I$ compact interval, $g:I\rightarrow I,\;g(x)=ax^3+bx^2+cx+d$. Find stationary points, local and global maxima and minima of $g$ on $I$

Question in Paul's workspace
$I$ compact interval, $g:I\rightarrow I,\;g(x)=ax^3+bx^2+cx+d$. Find stationary points, local and global maxima and minima of $g$ on $I$