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Chenkel's latest activity
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Chenkel
reacted to
WWGD's post
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Question about change of variables
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You may also want to look into the Jacobian, used when you change variables...
Mar 12, 2024
C
Chenkel
replied to the thread
B
Question about change of variables
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I think I probably said it right, I hope so.
Mar 12, 2024
C
Chenkel
replied to the thread
B
Question about change of variables
.
Now I'm a little confused and not sure of I said that right
Mar 12, 2024
C
Chenkel
replied to the thread
B
Question about change of variables
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So perhaps the reason my proof worked is because when I let ##u=r\cos(\theta)## I kept ##\theta## in the interval ##[0, \pi]## and in...
Mar 12, 2024
C
Chenkel
reacted to
PeroK's post
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Question about change of variables
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Informative
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You do have to be careful. Normally, the substitution is done the other way round, with a different meaning for ##u##. In that case...
Mar 12, 2024
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Chenkel
replied to the thread
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Question about change of variables
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What do we do if ##a## and ##b## are largely separated and ##u## is a periodic function that oscillates more than once in the interval...
Mar 12, 2024
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Chenkel
reacted to
cianfa72's post
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Question about length contraction
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Just to highlight that the process to measure time dilation involves one moving clock (that reads just its proper time ##\tau##) and two...
Mar 11, 2024
C
Chenkel
replied to the thread
B
Question about the fundamental theorem of calculus
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Using what you wrote I'm able to see the how the left approach derivative of the accumulation function with the mean value theorem is...
Mar 11, 2024
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Chenkel
reacted to
andrewkirk's post
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Question about the fundamental theorem of calculus
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A derivative calculating by approaching from the right (positive perturbations) is called a right derivative. A derivative calculating...
Mar 11, 2024
C
Chenkel
posted the thread
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Question about the fundamental theorem of calculus
in
Calculus
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Hello everyone, I've been brushing up on some calculus and had some new questions come to mind. I notice that most proofs of the...
Mar 10, 2024
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Chenkel
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hutchphd's post
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Question about units for "area under curve"
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I applaud your attention to units. "Area under the curve" refers to the area on the graph paper that represents the function. Each...
Mar 9, 2024
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Chenkel
reacted to
Ibix's post
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Question about units for "area under curve"
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The dimension of the area under a curve depends what units you specify on the axes. Take, for example, a plot of velocity versus time...
Mar 9, 2024
C
Chenkel
posted the thread
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Question about units for "area under curve"
in
Calculus
.
Hello everyone, I am curious, suppose you have a function ##f(x)=x^3## and you to find the area under the curve from 0 to x, the area...
Mar 9, 2024
C
Chenkel
reacted to
PeroK's post
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Question about change of variables
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Yes, you applied the technique correctly. The point of my post was to show that it comes ultimately from the chain rule.
Mar 8, 2024
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Chenkel
replied to the thread
B
Question about change of variables
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So just to prove my formulas are consistent with the change of variables formula you proved. ##f(x) = \sqrt{r^2 - x^2}## ##u(\theta) =...
Mar 8, 2024
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