Determine which value best approximates the area of the region between the x-axis and the graph of ##f(x)=\frac{10}{x(x^2+1)}## over the interval [1,3]. Make your selection on the basis of a sketch of the region and not by performing any calculations. Explain your reasoning.
(a) -6 (b) 6...
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I have a question about a functional derivative. When determining the condition that the functional derivative have a stationary value of 0, do I use a partial derivative or a regular derivative? I would really appreciate the help. Thank you!
David
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I'm having some trouble with an equation: v=sqrt(F/μ). If I understand correctly, F corresponds to the tension in both ends of the rope. I'm calculating the wave speed for a vertical rope with mass as well as a weight tied to the bottom. It's also tied to the ceiling. This makes the...
Hey guys,
I was hoping somebody might help me; I'm really confused. I obtained the formula for distance, which is this:
d=[(2[v_0]^2(cos[alpha])sin([alpha-beta])]/gcos^2(beta)
And the derivative for distance, which is this:
derivative of d with respect to...
I am confused about the twin paradox. Let's imagine Mike and Angela are twins. Mike stays on Earth, and Angela rockets off, away from Earth at close to the speed of light, with the intention of making a round trip back to Earth at the end of her voyage. My question is this: why wouldn't...
Homework Statement
A hollow aluminum cylinder is 2.5 m long and has an inner radius of 3.20 cm and an outer radius of 4.60 cm. Treat each surface (inner, outer, and the two end faces) as an equipotential surface. At room temperature, what will an ohmmeter read if it is connected between...
Could someone tell me what an integral actually does? I understand that it has something to do with adding infinitely many things, but as you can see, this understanding is vague at best. Please help me. Thanks.
Homework Statement
A thin uniform 12.0-kg bar that is 2.00 m long rotates uniformly about a pivot at one end, making 5.00 complete revolutions every 3.00 seconds. What is the kinetic energy of this bar? (Hint: Different points in the bar have different speeds. Break the bar up into...