Search - Numbas at mathcentre.ac.uk

73 results.

Show results for Show results for

Questions
Exams

Refine by Refine by

Status

Any status
Draft
Ready to use
Should not be used
Has some problems
Doesn't work
Needs to be tested
Author
Tags
Usage rights

Any
Free to reuse
Free to reuse with modification
Free to reuse commercially
Free to reuse commercially with modification
Ability Level

Key Stage 1
Primary school
Key Stage 2
Key Stage 3
Key Stage 4 / GCSE
A-Level
Topics

vijay's copy of Functions of two variables: Stationary points 3
Ready to use
Question in vijay's workspace by vijay t

Find the coordinates of the stationary point for $f: D \rightarrow \mathbb{R}$ : $f(x,y) = a + be^{-(x-c)^2-(y-d)^2}$ , $D$ is a disk centre $(c,d)$ .
SFY0004 Implicit 1
Ready to use
Question in Bill's workspace by Bill Foster

Implicit differentiation.

Given $x^2+y^2+ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$ .
SFY0004 Implicit 2
Ready to use
Question in Bill's workspace by Bill Foster

Implicit differentiation.

Given $x^2+y^2+dxy +ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$ .

Also find two points on the curve where $x=0$ and find the equation of the tangent at those points.
Max and Min 3
Ready to use
Question in Bill's workspace by Bill Foster

$I$ 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 $I$ .
Max and Min 6
Ready to use
Question in Bill's workspace by Bill Foster

$I$ 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?
Morten's copy of Functions of two variables: Stationary points 3
Ready to use
Question in Morten's workspace by Morten Brekke

Find the coordinates of the stationary point for $f: D \rightarrow \mathbb{R}$ : $f(x,y) = a + be^{-(x-c)^2-(y-d)^2}$ , $D$ is a disk centre $(c,d)$ .
Max and Min (6 parts) 24/11
Ready to use
Question in Katie's workspace by Katie Dexter

$I$ 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 $I$ .
Katie's copy of Max and Min 6
Ready to use
Question in Katie's workspace by Katie Dexter

$I$ 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?
Katie's copy of Functions of two variables: Stationary points 1
Ready to use
Question in Katie's workspace by Katie Dexter

Find the stationary point $(p,q)$ of the function: $f(x,y)=ax^2+bxy+cy^2+dx+gy$ . Calculate $f(p,q)$ .
Functions of two variables: Stationary points 1
Ready to use
Question in Bill's workspace by Bill Foster

Find the stationary point $(p,q)$ of the function: $f(x,y)=ax^2+bxy+cy^2+dx+gy$ . Calculate $f(p,q)$ .
Functions of two variables: Stationary points 2
Ready to use
Question in Bill's workspace by Bill Foster

Find the stationary points of the function: $f(x,y)=a x ^ 3 + b x ^ 2 y + c y ^ 2 x + dy$ by choosing from a list of points.
Functions of two variables: Stationary points 3
Ready to use
Question in Bill's workspace by Bill Foster

Find the coordinates of the stationary point for $f: D \rightarrow \mathbb{R}$ : $f(x,y) = a + be^{-(x-c)^2-(y-d)^2}$ , $D$ is a disk centre $(c,d)$ .
Find the stationary point of a function of two variables (2)
Ready to use
Question in Bill's workspace by Bill Foster

Find the critical point $(0,a)$ of the function: $f(x,y)=ax^3+bx^2y+cy^2+dy+f$ and find its type using the test given by the Hessian matrix.

Show results for Show results for

Refine by Refine by

Status

Author

Tags

Usage rights

Ability Level

Topics