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vcsharp2003's latest activity
V
vcsharp2003
reacted to
fresh_42's post
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Family of lines that are at a distance of 5 from the origin
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The straight line through the origin and a point on the circle has the slope ##\dfrac{\sin \omega}{\cos \omega}.## This means that the...
Today, 6:40 AM
V
vcsharp2003
replied to the thread
Family of lines that are at a distance of 5 from the origin
.
I get that since a tangent to a circle will always be perpendicular to its radius. But, the question still remains how the one-liner...
Today, 5:38 AM
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vcsharp2003
posted the thread
Family of lines that are at a distance of 5 from the origin
in
Precalculus Mathematics Homework Help
.
I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the...
Today, 1:46 AM
V
vcsharp2003
reacted to
hutchphd's post
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Intersection of a circle and a sine curve
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They are writing a textbook. It is their job to worry about clarity. A nd where were the editors.....? I am very critical. More so...
Jul 18, 2025
V
vcsharp2003
reacted to
FactChecker's post
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Intersection of a circle and a sine curve
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I would say ""out of all possible circles, what is the maximum number of times any circle can intersect the sine function." IMO, that...
Jul 16, 2025
V
vcsharp2003
reacted to
Steve4Physics's post
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Intersection of a circle and a sine curve
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I'll give it a go... What is the maximum number of times (##N## ) a circle* can intersect the graph of ##y=\sin x##? a)##N \le 2## b)...
Jul 16, 2025
V
vcsharp2003
replied to the thread
Intersection of a circle and a sine curve
.
It seems that none of the options given in the challenge problem under post#13 is true. I counted the number of intersections in post#10...
Jul 14, 2025
V
vcsharp2003
reacted to
willem2's post
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Intersection of a circle and a sine curve
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You didn't try to move the circle. The problem statement doesn't forbid this.
Jul 14, 2025
V
vcsharp2003
replied to the thread
Intersection of a circle and a sine curve
.
Its a Math book titled Mathematics 11 that is used in Grade 11 in schools of Ontario, Canada. The publisher is McGraw-Hill Ryerson and...
Jul 14, 2025
V
vcsharp2003
replied to the thread
Intersection of a circle and a sine curve
.
Thank you so much for this example. It helped greatly in understanding the problem. It seems that the number of intersections has no...
Jul 13, 2025
V
vcsharp2003
replied to the thread
Intersection of a circle and a sine curve
.
Sorry, you're correct. I didn't paste the original question at the start. The exact problem as it appears in the Math book is as below...
Jul 13, 2025
V
vcsharp2003
reacted to
FactChecker's post
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Intersection of a circle and a sine curve
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Good one. A simple version would be ##x^2+(y-r)^2 = r^2##, where ##r## can be a parameter. You can easily get as many intersections as...
Jul 13, 2025
V
vcsharp2003
reacted to
FactChecker's post
in the thread
Intersection of a circle and a sine curve
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Over the range of allowable a, b, r, parameters there is no maximum. It might be possible to determine (or bound) the number of...
Jul 13, 2025
V
vcsharp2003
reacted to
BvU's post
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Intersection of a circle and a sine curve
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Red circle: ##(x-\pi/2)^2+(y-999)^2=1000^2\ ## blue sine: ##y = \sin x\ ##...
Jul 13, 2025
V
vcsharp2003
reacted to
FactChecker's post
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Intersection of a circle and a sine curve
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Jul 13, 2025
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