Recent content by frzncactus

Chet, that makes a lot of sense. Thank you both for breaking it down for me.

I do understand that density and velocity are of the surrounding fluid (air) and not the object (the cone). I've actually taken transport phenomena as well as transport processes and a chemical engineering fundamentals laboratory course, so I am quite familiar with using and applying the...

Problem 2.14: Explaining the Simplification from Street-Fighting Mathematics by Mahajan "Why is the drag force independent of the gravitational acceleration g and of the cone's mass m (yet the force depends on the cone's shape and size)?"Context Imagine two paper cones formed by taping together...

Glucose gradients can be maintained via active transport. If facilitated diffusion were the only mechanism for glucose transport, that would mean that glucose would get transported in reverse the moment our intestines are empty of food. The biochemistry is more complex than instantaneous...

This tells us z, which is the vertical distance between points 2 and 3, which is used to incorporate gravitational potential energy into the energy balance. Volumetric flow rate is given as 0.2 ft3/s, which can be used to find velocity because v*A = Q, where v is velocity, A is cross-sectional...

Aha! The last step was counterproductive. Instead, swapping x's for 1/u's and doing some algebra at the second-to-last step finishes the problem. Sorry about answering my own question, this problem has embarrassingly been bothering me for weeks. I'll leave this up here for the curious. (Aside)...

Homework Statement Use a change of variable to show that \int_0^{\infty} \frac{dx}{1+x^2} = 2\int_0^1\frac{dx}{1+x^2} Please note: the point of this exercise is to change the bounds of the integral to be finite to allow numerical estimation, as opposed to directly solving the integral...

OHHH. To confirm my understanding, a cdf with a constant derivative (with respect to a uniform random variable) would therefore have a constant density, and thus would be uniform as well. Was that a correct statement?

Thank you for the response! Was my conclusion that ax+b is uniform correct? I am uncertain about how it can fit the form for a uniform distribution.

Would dividing both sides by 1+bx help?

Homework Statement If X is a random variable uniformly distributed over (0,1), and a, b are constants, what can you say about the random variable aX + b? What about X^2? Homework Equations For uniformity of notation, let f(x) = probability density function of x F(a) = distribution function...