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Question is to calculate the area bounded by a cubic and the x-axis. Requires finding the roots by solving a cubic equation. Calculator question
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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
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History
Lovkush Agarwal 7 years, 2 months ago
Saved a checkpoint:
seems fine. added condition to ensure don't get tiny areas which are hard to see. bigger y-axis
Lovkush Agarwal 7 years, 2 months ago
Created this.| Name | Status | Author | Last Modified | |
|---|---|---|---|---|
| Integration: Area bounded by the graph of a cubic | draft | Lovkush Agarwal | 28/02/2020 15:29 | |
| Maria's copy of Integration: Area bounded by the graph of a cubic | draft | Maria Aneiros | 27/05/2019 07:21 |
There are 4 other versions that do you not have access to.
| Name | Type | Generated Value |
|---|
| a | integer |
3
|
||||
| b | integer |
-3
|
||||
| c | number |
-3.6
|
||||
| xmax | number |
1.7041594579
|
||||
| xmin | number |
-0.7041594579
|
||||
| area1 | number |
0.3589687861
|
||||
| area2 | number |
3.8510312139
|
||||
| area_total | number |
4.21
|
||||
| test | integer |
1
|
||||
| area_total2 | number |
4.21
|
Generated value: integer
This variable doesn't seem to be used anywhere.
Parts
Gap-fill
Ask the student a question, and give any hints about how they should answer this part.
{plotgraph(4,xmin,xmax,-10,10,a,b,c)}
This is the graph of the function $f(x)=\simplify{{a}x^3+{b}x^2+{c}x}$.
What is the area bounded by the graph and the $x$-axis (i.e. the total area of the shaded regions)?
Hint: you need to determine the $x$-intercepts before you can do any integration.
Use this tab to check that this question works as expected.
| Part | Test | Passed? |
|---|---|---|
| Gap-fill | ||
| Hasn't run yet | ||
| Number entry | ||
| Hasn't run yet |
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