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agentx5
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How do you change the bounds/limits on the integrand for a parametric equation? I understand the integralbased area formula for Cartesian equations fine, but I'm a bit lost here and could definitely use some clarification help. :)
 2 years ago
 2 years ago
agentx5 Group Title
How do you change the bounds/limits on the integrand for a parametric equation? I understand the integralbased area formula for Cartesian equations fine, but I'm a bit lost here and could definitely use some clarification help. :)
 2 years ago
 2 years ago

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agentx5 Group TitleBest ResponseYou've already chosen the best response.0
Cartesian mode: \[Area = \huge \int\limits_{a}^{b} f(x) dx\] Parametric mode? \[Area =\huge \int\limits_{\alpha}^{\beta} g(t) \cdot f'(t) \ dt\] The heck is this?
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.0
\[\huge slope = \frac{(\frac{dy}{dt})}{(\frac{dx}{dt})}\]
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.0
What I'm not understanding is where my substitution is coming from. Maybe a simple example is in order, let me go find one...
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.0
Example from the homework, verbatim: Find an equation of the tangent to the curve at the given point by both eliminating the parameter and without eliminating the parameter. x = 6 + lnt, y = t^2 + 6, (6, 7)
 2 years ago

malevolence19 Group TitleBest ResponseYou've already chosen the best response.0
By (6,7) do you mean from 6 to 7?
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.0
Ah nope @malevolence19, it's the point there
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.0
I presume it means the graph contains that point, or the tangent line & the graph both do more specifically.
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.0
And one of the easier looking questions... Hmpf! I dislike lesson plans that give you supereasy examples in the lecture notes but then kick your brain around like a can when you get to the homework :P
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.0
It's like, oh hey you got any questions on this? No? Oh ok let's try something twenty times harder, ok jump! :D
 2 years ago

malevolence19 Group TitleBest ResponseYou've already chosen the best response.0
Do you know how to do with "eliminating the parameter"?
 2 years ago
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