29 results authored by Paul Howes - search across all users.

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• Question in CLE3

What is the function of the given graph?

• Question

$I$ 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)

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

• Exam (5 questions)

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 non-hypotenuse side, where side lengths include surds and students enter using sqrt syntax

• Question in CLE3

• Question in CLE3

• 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

• Trigonometry
Draft
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

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

• Question

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

• Question

$I$ compact interval, $g:I\rightarrow I$, $g(x)=(x-a)(x-b)^2$. Stationary points in interval. Find local and global maxima and minima of $g$ on $I$.

• Question

$I$ 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

$I$ 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 $I$