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SammyS's latest activity
SammyS
reacted to
pasmith's post
in the thread
Find the values of a and b to get max/min of certain expression
with
Like
.
Note that sapping a and b swaps 3a^2 + 2b and 3b^2 + 2a, leaving the maximum invariant. Note also that 3a^2 + 2b is strictly increasing...
Yesterday, 2:56 PM
SammyS
reacted to
PeroK's post
in the thread
Find the values of a and b to get max/min of certain expression
with
Like
.
Trial and error is definitely precalculus.
Yesterday, 2:55 PM
SammyS
reacted to
Orodruin's post
in the thread
Vertical circular motion
with
Like
.
Even in the case of non-uniform circular motion, the centripetal acceleration is ##v^2/r##. The difference being that there is also a...
Yesterday, 8:40 AM
SammyS
reacted to
pasmith's post
in the thread
Prove the given hyperbolic trigonometry equation
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.
You need to end up with \sinh^2 \frac x2, so start from \cosh 2x - 1 = 2\sinh^2 x. But using these identities comes very close to...
Wednesday, 12:14 PM
SammyS
reacted to
fresh_42's post
in the thread
Proving differentiability for a function from the definition
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Like
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Because of the first sentence: Let ##f## be a differentiable function.
Monday, 1:20 PM
SammyS
reacted to
pasmith's post
in the thread
True or false problem for double differentiable function
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Like
.
It i a counter example to the assertion f''(x) > 0 \Rightarrow f(x) > 0.
Monday, 1:06 PM
SammyS
reacted to
kuruman's post
in the thread
Two cyclists ride between a pair of towns with and against the wind
with
Like
.
I opted for a graphical solution that illustrates the points made earlier. I first plotted the position vs. time round trips for the...
Sunday, 5:07 PM
SammyS
reacted to
Hill's post
in the thread
Uniform Motion in 2D - A man chasing a bus
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Like
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The time to meet, ##MC/v_m=BC/v_B##. ##v_m=v_B*MC/BC=v_B*\sin(\beta)/\sin(\alpha)##. To minimize ##v_m## we need to maximize...
Sunday, 3:15 PM
SammyS
replied to the thread
Find ##\tan \theta ## in the form of ##a+b\sqrt {2}##
.
Yes. There is an error.
Saturday, 10:02 PM
SammyS
replied to the thread
Uniform Motion in 2D - A man chasing a bus
.
Right. ##0.8## radians ##\approx 45.8^\circ## . Of course, the given value for the solution for ##x## has only one significant figure...
Saturday, 5:47 PM
SammyS
reacted to
docnet's post
in the thread
Uniform Motion in 2D - A man chasing a bus
with
Like
.
It seems like Mathway isn't giving the answer in degrees but in radians. LLMs (large language models) aren't perfect and often won't...
Saturday, 5:40 PM
SammyS
reacted to
haruspex's post
in the thread
Uniform Motion in 2D - A man chasing a bus
with
Like
.
If he aims for a point slightly further away from the starting point of the bus (by angle ##\Delta\theta##), the increase in the...
May 10, 2024
SammyS
reacted to
kuruman's post
in the thread
I
Origin of Centripetal force when the net force toward the center is 0?
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Like
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Why? Draw a free body diagram. When the mass is going around the circle at some angle ##\theta## relative to the vertical, you know...
May 10, 2024
SammyS
reacted to
A.T.'s post
in the thread
I
Origin of Centripetal force when the net force toward the center is 0?
with
Like
.
It's not. The normal force and gravity are not a Newton's 3rd Law force pair.
May 10, 2024
SammyS
replied to the thread
Find the sides of the right triangle so that their sum is minimized
.
It does not really matter that @Hill disagrees. The given problem, as you eventually stated in post #9, is quite clear. Your recent...
May 10, 2024
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