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Graphs are given with areas underneath them shaded. The student is asked to select or enter the correct integral which calculates its area.
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
Contributors
History
Lovkush Agarwal 8 years ago
Saved a checkpoint:
Function simplified - brackets were expanded and question is visually less daunting.
Lovkush Agarwal 8 years ago
Created this.There is only one version of this question that you have access to.
There are 2 other versions that do you not have access to.
| Name | Type | Generated Value |
|---|
| x11 | integer |
2
|
||||
| x12 | integer |
6
|
||||
| a1 | integer |
1
|
||||
| b1 | integer |
3
|
||||
| x21 | integer |
-3
|
||||
| x22 | integer |
-2
|
||||
| a2 | integer |
1
|
||||
| c2 | integer |
2
|
||||
| a3 | integer |
-2
|
||||
| b3 | integer |
1
|
||||
| x31 | integer |
-1
|
||||
| x32 | integer |
1
|
||||
| a4 | integer |
-3
|
||||
| b4 | integer |
-1
|
||||
| c4 | integer |
1
|
||||
| x41 | integer |
-3
|
||||
| x42 | integer |
-1
|
Generated value: integer
- x12
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.
(i) {plotgraph(1,x11,x12,-1,10,a1,b1,0)}
This is the graph of the function f(x)={{a1}x+{b1}}.
Which integral corresponds to the area of the shaded region?
(ii) {plotgraph(3,x31,x32,-3,7,a3,b3,0)}
This curve has equation y={x2−{a3+b3}x+{a3b3}}.
Which of these integrals does not give the area of the red region?
Which of these calculates the total area of the two shaded regions?
Use this tab to check that this question works as expected.
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| Gap-fill | ||
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| Choose one from a list | ||
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