Error
There was an error loading the page.
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.
Metadata
-
England schools
-
England university
-
Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
Contributors
History
Lovkush Agarwal 7 years, 1 month ago
Created this as a copy of Integration: Calculating the area under a curve. Needs integration by parts..There are 55 other versions that do you not have access to.
| Name | Type | Generated Value |
|---|
| x | integer |
3
|
||||
| x1 | integer |
2
|
||||
| x2 | integer |
4
|
||||
| a | integer |
4
|
||||
| b | integer |
-12
|
||||
| c | integer |
4
|
||||
| d | integer |
-28
|
||||
| ymin | decimal |
dec("-2.5")
|
||||
| ymax | decimal |
dec("2.5")
|
||||
| area1 | number |
0.577
|
||||
| area1_exact | expression |
0 + -28*ln(0.9795918367346939)
|
| Name | Type | Generated Value |
|---|
Generated value: integer
This variable doesn't seem to be used anywhere.
Gap-fill
Ask the student a question, and give any hints about how they should answer this part.
{plotgraph(1,x1,x2,ymin,ymax,a,b,c)}
This is the graph of the function f(x)={{a}x+{b}x+{c}}.
Calculate the area of the shaded region.
(a) Give your answer without any rounding. Write it in the form "a+bln(c)", where a,b and c are numbers you need to determine.
(b) (Calculator). Give your answer to 3 s.f.
Use this tab to check that this question works as expected.
| Part | Test | Passed? |
|---|---|---|
| Gap-fill | ||
| Hasn't run yet | ||
| Mathematical expression | ||
| Hasn't run yet | ||
| Number entry | ||
| Hasn't run yet |
This question is used in the following exams:
- CLE 15 by Lovkush Agarwal in 17/18 Assessments.
- test by Tore Forbregd in Tore's workspace.
- Resit CLE 2 by Lovkush Agarwal in 17/18 Assessments.
- CLE 15 by Lovkush Agarwal in 18/19 Assessments.
- Christian's copy of CLE 16 by Christian Lawson-Perfect in Christian's workspace.
- Revision CLE, Maths 2 by Lovkush Agarwal in 18/19 Assessments.
- CLE 16 by Lovkush Agarwal in 18/19 Assessments.
- Maths 2 CLE16 assessed by Lovkush Agarwal in 19/20 Assessments.
- Maths 2 CLE17 assessed by Lovkush Agarwal in 19/20 Assessments.
- Revision CLE, Maths 2 by Lovkush Agarwal in 19/20 Assessments.
- Maths 2 Week 15 Assessed by Lovkush Agarwal in 20/21 Assessments.
- Maths 2 Week 18 Assessed by Lovkush Agarwal in 20/21 Assessments.
- FS0032 resit CLE Unit 3 by Paul Howes in 20/21 Assessments.
- Single resit CLE by Paul Howes in 20/21 Assessments.