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Calculate the local extrema of a function f(x)=ex/C1(C2sin(x)−C3cos(x))
The graph of f(x) has to be identified.
The first derivative of f(x) has to be calculated.
The min max points have to be identified using the graph and/or calculated using the first derivative method. Requires solving trigonometric equation
Metadata
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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
J. Richard Snape was given access to the Min_max_v1 5 years, 7 months ago
Anna Strzelecka 5 years, 8 months ago
Created this as a copy of Anna's copy of Maria's copy of Mario's copy of Interactive Newton-Raphson method.| Name | Status | Author | Last Modified | |
|---|---|---|---|---|
| Interactive Newton-Raphson method | Ready to use | Bill Foster | 19/04/2017 11:03 | |
| Interactive Newton-Raphson method | Should not be used | Christian Lawson-Perfect | 14/02/2020 12:57 | |
| Senida's copy of Interactive Newton-Raphson method | draft | Senida Krcic | 15/11/2018 03:27 | |
| Mario's copy of Interactive Newton-Raphson method | draft | Mario Stevanovski | 15/11/2018 03:44 | |
| Maria's copy of Mario's copy of Interactive Newton-Raphson method | draft | Maria Aneiros | 27/05/2019 05:57 | |
| Keith's copy of Maria's copy of Mario's copy of Interactive Newton-Raphson method | draft | Keith Tarnowski | 03/06/2019 14:24 | |
| Anna's copy of Maria's copy of Mario's copy of Interactive Newton-Raphson method | Doesn't work | Anna Strzelecka | 16/08/2019 15:12 | |
| Min_max_v1 | draft | Anna Strzelecka | 10/01/2020 14:29 | |
| Min_max_v2 | draft | Anna Strzelecka | 16/08/2019 14:51 | |
| Maths_and_Stats's copy of Interactive Newton-Raphson method | draft | Maths_and_Stats Advice | 19/09/2019 13:49 |
There are 8 other versions that do you not have access to.
| Name | Type | Generated Value |
|---|
| a | integer |
6
|
||||
| maxy | integer |
68
|
||||
| ans1 | number |
0.4823
|
||||
| m | number |
2
|
||||
| results | list |
List of 7 items
|
||||
| b | integer |
7
|
||||
| tol | integer |
0
|
||||
| ans | number |
1.4613
|
||||
| tans | number |
1.461272433
|
||||
| a1 | number |
8.5
|
||||
| a2 | integer |
19
|
||||
| a3 | integer |
13
|
||||
| a4 | number |
0.5
|
||||
| maxy_poly | integer |
620
|
||||
| maxysincos | integer |
15
|
||||
| as1 | integer |
8
|
||||
| as2 | integer |
5
|
||||
| as3 | integer |
2
|
||||
| minysincos | integer |
-10
|
||||
| ANSas2 | integer |
38
|
||||
| ANSas3 | integer |
21
|
||||
| inv_tan_sol1 | decimal |
dec("-1.065934955135770297896378925665447312028")
|
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| inv_tan_sol2 | decimal |
dec("2.074065044864229702103621074334552687972")
|
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| inv_tan_sol3 | decimal |
dec("3.805063771123648863035879168104331044974e-1")
|
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| inv_tan_sol4 | decimal |
dec("-2.759493622887635113696412083189566895503")
|
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| f_min | number |
-4.6769863132
|
||||
| f_max | number |
6.9264799894
|
Generated value: integer
6
→ Used by:
- b
- maxy
- results
- tans
Parts
Choose one from a list
Ask the student a question, and give any hints about how they should answer this part.
Which of the following graphs represent the function
${e^{x/\var{as1}}}({\var{as2}}sin(x)-{\var{as3}cos(x))}$
Notes:
- Make sure min/max is ok with current definitions
- Add some hints
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Choice 1
{sincos(as1,as2,as3,minysincos,maxysincos)} -
Choice 2
{sincos(-as1,-as2,-as3,minysincos,maxysincos)} -
Choice 3
{sincos(as1,1/as2,as3,minysincos,maxysincos)} -
Choice 4
{sincos(as1,as2,1/as3,minysincos,maxysincos)}
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This question is used in the following exam: