Rulebook on how to eliminate variables in parameter (Cartesian equation of curve) Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)eliminate parametric parameter to determine the Cartesian equation.Eliminate the parameter to find a Cartesian equation of the curveHow do you eliminate the parameter to find a cartesian equation of the curve?redefining already defined variables in integrationEliminate the parameter to find a Cartesian equation of this curveHow would I eliminate parameter to find the Cartesian Equation?Eliminate the parameter to find a Cartesian equation of the curve with $x = t^2$Finding a vector equation for the tangent line of curve formed by the intersection of two cylindersEvaluate the limit of $arctan(frac1x - 2)$ where $x to 2^+$.What does my textbook mean by Hypothesis here?
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Rulebook on how to eliminate variables in parameter (Cartesian equation of curve)
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)eliminate parametric parameter to determine the Cartesian equation.Eliminate the parameter to find a Cartesian equation of the curveHow do you eliminate the parameter to find a cartesian equation of the curve?redefining already defined variables in integrationEliminate the parameter to find a Cartesian equation of this curveHow would I eliminate parameter to find the Cartesian Equation?Eliminate the parameter to find a Cartesian equation of the curve with $x = t^2$Finding a vector equation for the tangent line of curve formed by the intersection of two cylindersEvaluate the limit of $arctan(frac1x - 2)$ where $x to 2^+$.What does my textbook mean by Hypothesis here?
$begingroup$
I was tutoring a student in Calculus II, who was working on the subject of "Curves Defined by Parametric Equations." The excellent example of a problem that the student was facing was to eliminate the 't' variable from the equation where y = sinh t, x = cosh t. Now, I am not interested in the solution of this specific problem, but the methods that was used in the solution (see the first provided solution: https://www.slader.com/textbook/9781285741550-stewart-calculus-early-transcendentals-8th-edition/645/exercises/17a/).
The student said the methods such as adding, subtracting x and y's wasn't in the 'rulebook' of substitution for variable elimination.
So, my question for you math professionals is where may I find this particular 'how-to-do' guidebook or procedures of how to find these type of solutions...say a cheat sheet on what to do first, second and then so forth in the methodical way of finding these type of solutions?
calculus parametric
asked Mar 26 at 16:48
Dr. Paul Kenneth ShreemanDr. Paul Kenneth Shreeman
12
$endgroup$
add a comment |
$begingroup$
I was tutoring a student in Calculus II, who was working on the subject of "Curves Defined by Parametric Equations." The excellent example of a problem that the student was facing was to eliminate the 't' variable from the equation where y = sinh t, x = cosh t. Now, I am not interested in the solution of this specific problem, but the methods that was used in the solution (see the first provided solution: https://www.slader.com/textbook/9781285741550-stewart-calculus-early-transcendentals-8th-edition/645/exercises/17a/).
The student said the methods such as adding, subtracting x and y's wasn't in the 'rulebook' of substitution for variable elimination.
So, my question for you math professionals is where may I find this particular 'how-to-do' guidebook or procedures of how to find these type of solutions...say a cheat sheet on what to do first, second and then so forth in the methodical way of finding these type of solutions?
calculus parametric
asked Mar 26 at 16:48
Dr. Paul Kenneth ShreemanDr. Paul Kenneth Shreeman
12
$endgroup$
$begingroup$
The linked solution seems like a rather roundabout way to use the standard identity $cosh^2t-sinh^2t=1$.
$endgroup$
– amd
Mar 26 at 23:03
$begingroup$
Thank you for pointing that out. That would have led a straightforward substitution method. I've shared that with the tutee. I'll still love to see the procedural guide. This "how do I eliminate the parameter variable?" questions apparently come up often here too.
$endgroup$
– Dr. Paul Kenneth Shreeman
Mar 27 at 15:58
$begingroup$
I don’t think I’ve ever seen a “bag of tricks” for eliminating variables, but I agree that it would be a great resource to have. Might be worth turning this question over to community Wiki.
$endgroup$
– amd
Mar 27 at 17:46
$begingroup$
@amd I tried flagging it for a moderator to move it over to the wiki. It looks like it didn't happen.
$endgroup$
– Dr. Paul Kenneth Shreeman
Mar 29 at 3:55
add a comment |
$begingroup$
I was tutoring a student in Calculus II, who was working on the subject of "Curves Defined by Parametric Equations." The excellent example of a problem that the student was facing was to eliminate the 't' variable from the equation where y = sinh t, x = cosh t. Now, I am not interested in the solution of this specific problem, but the methods that was used in the solution (see the first provided solution: https://www.slader.com/textbook/9781285741550-stewart-calculus-early-transcendentals-8th-edition/645/exercises/17a/).
The student said the methods such as adding, subtracting x and y's wasn't in the 'rulebook' of substitution for variable elimination.
So, my question for you math professionals is where may I find this particular 'how-to-do' guidebook or procedures of how to find these type of solutions...say a cheat sheet on what to do first, second and then so forth in the methodical way of finding these type of solutions?
calculus parametric
asked Mar 26 at 16:48
Dr. Paul Kenneth ShreemanDr. Paul Kenneth Shreeman
12
$endgroup$
I was tutoring a student in Calculus II, who was working on the subject of "Curves Defined by Parametric Equations." The excellent example of a problem that the student was facing was to eliminate the 't' variable from the equation where y = sinh t, x = cosh t. Now, I am not interested in the solution of this specific problem, but the methods that was used in the solution (see the first provided solution: https://www.slader.com/textbook/9781285741550-stewart-calculus-early-transcendentals-8th-edition/645/exercises/17a/).
The student said the methods such as adding, subtracting x and y's wasn't in the 'rulebook' of substitution for variable elimination.
So, my question for you math professionals is where may I find this particular 'how-to-do' guidebook or procedures of how to find these type of solutions...say a cheat sheet on what to do first, second and then so forth in the methodical way of finding these type of solutions?
calculus parametric
calculus parametric
asked Mar 26 at 16:48
Dr. Paul Kenneth ShreemanDr. Paul Kenneth Shreeman
12
asked Mar 26 at 16:48
Dr. Paul Kenneth ShreemanDr. Paul Kenneth Shreeman
12
asked Mar 26 at 16:48
Dr. Paul Kenneth ShreemanDr. Paul Kenneth Shreeman
12
asked Mar 26 at 16:48
Dr. Paul Kenneth ShreemanDr. Paul Kenneth Shreeman
12
asked Mar 26 at 16:48
Dr. Paul Kenneth ShreemanDr. Paul Kenneth Shreeman
12
12
$begingroup$
The linked solution seems like a rather roundabout way to use the standard identity $cosh^2t-sinh^2t=1$.
$endgroup$
– amd
Mar 26 at 23:03
$begingroup$
Thank you for pointing that out. That would have led a straightforward substitution method. I've shared that with the tutee. I'll still love to see the procedural guide. This "how do I eliminate the parameter variable?" questions apparently come up often here too.
$endgroup$
– Dr. Paul Kenneth Shreeman
Mar 27 at 15:58
$begingroup$
I don’t think I’ve ever seen a “bag of tricks” for eliminating variables, but I agree that it would be a great resource to have. Might be worth turning this question over to community Wiki.
$endgroup$
– amd
Mar 27 at 17:46
$begingroup$
@amd I tried flagging it for a moderator to move it over to the wiki. It looks like it didn't happen.
$endgroup$
– Dr. Paul Kenneth Shreeman
Mar 29 at 3:55
add a comment |
$begingroup$
The linked solution seems like a rather roundabout way to use the standard identity $cosh^2t-sinh^2t=1$.
$endgroup$
– amd
Mar 26 at 23:03
$begingroup$
Thank you for pointing that out. That would have led a straightforward substitution method. I've shared that with the tutee. I'll still love to see the procedural guide. This "how do I eliminate the parameter variable?" questions apparently come up often here too.
$endgroup$
– Dr. Paul Kenneth Shreeman
Mar 27 at 15:58
$begingroup$
I don’t think I’ve ever seen a “bag of tricks” for eliminating variables, but I agree that it would be a great resource to have. Might be worth turning this question over to community Wiki.
$endgroup$
– amd
Mar 27 at 17:46
$begingroup$
@amd I tried flagging it for a moderator to move it over to the wiki. It looks like it didn't happen.
$endgroup$
– Dr. Paul Kenneth Shreeman
Mar 29 at 3:55
$begingroup$
The linked solution seems like a rather roundabout way to use the standard identity $cosh^2t-sinh^2t=1$.
$endgroup$
– amd
Mar 26 at 23:03
$begingroup$
The linked solution seems like a rather roundabout way to use the standard identity $cosh^2t-sinh^2t=1$.
$endgroup$
– amd
Mar 26 at 23:03
$begingroup$
Thank you for pointing that out. That would have led a straightforward substitution method. I've shared that with the tutee. I'll still love to see the procedural guide. This "how do I eliminate the parameter variable?" questions apparently come up often here too.
$endgroup$
– Dr. Paul Kenneth Shreeman
Mar 27 at 15:58
$begingroup$
Thank you for pointing that out. That would have led a straightforward substitution method. I've shared that with the tutee. I'll still love to see the procedural guide. This "how do I eliminate the parameter variable?" questions apparently come up often here too.
$endgroup$
– Dr. Paul Kenneth Shreeman
Mar 27 at 15:58
$begingroup$
I don’t think I’ve ever seen a “bag of tricks” for eliminating variables, but I agree that it would be a great resource to have. Might be worth turning this question over to community Wiki.
$endgroup$
– amd
Mar 27 at 17:46
$begingroup$
I don’t think I’ve ever seen a “bag of tricks” for eliminating variables, but I agree that it would be a great resource to have. Might be worth turning this question over to community Wiki.
$endgroup$
– amd
Mar 27 at 17:46
$begingroup$
@amd I tried flagging it for a moderator to move it over to the wiki. It looks like it didn't happen.
$endgroup$
– Dr. Paul Kenneth Shreeman
Mar 29 at 3:55
$begingroup$
@amd I tried flagging it for a moderator to move it over to the wiki. It looks like it didn't happen.
$endgroup$
– Dr. Paul Kenneth Shreeman
Mar 29 at 3:55
add a comment |
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$begingroup$
The linked solution seems like a rather roundabout way to use the standard identity $cosh^2t-sinh^2t=1$.
$endgroup$
– amd
Mar 26 at 23:03
$begingroup$
Thank you for pointing that out. That would have led a straightforward substitution method. I've shared that with the tutee. I'll still love to see the procedural guide. This "how do I eliminate the parameter variable?" questions apparently come up often here too.
$endgroup$
– Dr. Paul Kenneth Shreeman
Mar 27 at 15:58
$begingroup$
I don’t think I’ve ever seen a “bag of tricks” for eliminating variables, but I agree that it would be a great resource to have. Might be worth turning this question over to community Wiki.
$endgroup$
– amd
Mar 27 at 17:46
$begingroup$
@amd I tried flagging it for a moderator to move it over to the wiki. It looks like it didn't happen.
$endgroup$
– Dr. Paul Kenneth Shreeman
Mar 29 at 3:55