478 results for "set".

Exam (1 question) Draft
CC BY Published
Last modified 09/10/2019 15:35
 No subjects selected
 No topics selected
No ability levels selected

j's copy of Several variables corresponding to a scenario  Swansea
Choose from one of several predefined scenarios, and set variables to the corresponding values, defined in lists.
This question has three variables:
city
,population
, andpercent_like_chocolate
. These differ for each city. We've defined a list for each variable, with the corresponding values. A variable calledscenario
picks a random position in the list, so the value ofcity
, for example, iscities[scenario]
.Question Draft
CC BY Published
Last modified 30/09/2019 14:59
 No subjects selected
 No topics selected
No ability levels selected

Question Ready to use
CC BYSA Published
Last modified 29/09/2019 02:45
 Pure mathematics
 No topics selected
No ability levels selected

Mark the product of two matrices in a mathematical expression part
A mathematical expression part whose answer is the product of two matrices, $X \times Y$.
By setting the "variable value generator" option for $X$ and $Y$ to produce random matrices, we can ensure that the order of the factors in the student's answer matters: $X \times Y \neq Y \times X$.
Question Draft
CC BY Published
Last modified 24/09/2019 15:27
 No subjects selected
 No topics selected
No ability levels selected

Basic Set Theory: element not in a set
Introductory exercise about subsets using custom grading code.
Question Ready to use
CC BYSA Published
Last modified 23/09/2019 01:18
 Pure mathematics
 No topics selected
No ability levels selected

GPUTC C&G 2850202: Engineering Principles, Test 1 (v2)
A set of MCQ designed to help Level 2 Engineering students prepare/practice for the online GOLA test that is used to assess the C&G 2850, Level 2 Engineering, Unit 202: Engineering Principles.
Exam (40 questions) Ready to use
CC BY Published
Last modified 16/09/2019 13:56
 No subjects selected
 No topics selected
No ability levels selected

Diff: Quotient rule  differentiate exponential over exponential
The derivative of $\displaystyle \frac{a+be^{cx}}{b+ae^{cx}}$ is $\displaystyle \frac{pe^{cx}} {(b+ae^{cx})^2}$. Find $p$.
Question Draft
CC BY Published
Last modified 11/09/2019 11:56
 No subjects selected
 No topics selected
No ability levels selected

Andreas's copy of MA100 MT Week 9
This is the question for week 9 of the MA100 course at the LSE. It looks at material from chapters 17 and 18.
Description of variables for part b:
For part b we want to have four functions such that the derivative of one of them, evaluated at 0, gives 0; but for the rest we do not get 0. We also want two of the ones that do not give 0, to be such that the derivative of their sum, evaluated at 0, gives 0; but when we do this for any other sum of two of our functions, we do not get 0. Ultimately this part of the question will show that even if two functions are not in a vector space (the space of functions with derivate equal to 0 when evaluated at 0), then their sum could nonetheless be in that vector space. We want variables which statisfy:
a,b,c,d,f,g,h,j,k,l,m,n are variables satisfying
Function 1: x^2 + ax + b sin(cx)
Function 2: x^2 + dx + f sin(gx)
Function 3: x^2 + hx + j sin(kx)
Function 4: x^2 + lx + m sin(nx)
u,v,w,r are variables satifying
u=a+bc
v=d+fg
w=h+jk
r=l+mn
The derivatives of each function, evaluated at zero, are:
Function 1: u
Function 2: v
Function 3: w
Function 4: r
So we will define
u as random(5..5 except(0))
v as u
w as 0
r as random(5..5 except(0) except(u) except(u))
Then the derivative of function 3, evaluated at 0, gives 0. The other functions give nonzero.
Also, the derivative of function 1 + function 2 gives 0. The other combinations of two functions give nonzero.We now take b,c,f,g,j,k,m,n to be defined as \random(3..3 except(0)).
We then define a,d,h,l to satisfy
u=a+bc
v=d+fg
w=h+jk
r=l+mnDescription for variables of part e:
Please look at the description of each variable for part e in the variables section, first.
As described, the vectors V3_1 , V3_2 , V3_3 are linearly independent. We will simply write v1 , v2 , v3 here.
In part e we ask the student to determine which of the following sets span, are linearly independent, are both, are neither:both: v1,v2,v3
span: v1,v1+v2,v1+v2+v3, v1+v2+v3,2*v1+v2+v3
lin ind: v1+v2+v3
neither: v2+v3 , 2*v2 + 2*v3
neither:v1+v3,v12*v3,2*v1v3
neither: v1+v2,v1v2,v12*v2,2*v1v2Question Draft
CC BYNCSA Published
Last modified 11/09/2019 07:45
 No subjects selected
 No topics selected
No ability levels selected

Question Draft
CC BY Published
Last modified 10/09/2019 14:01
 No subjects selected
 No topics selected
No ability levels selected

Question Ready to use
CC BY Published
Last modified 10/09/2019 13:40
 No subjects selected
 No topics selected
No ability levels selected