Recent content by Les talons

Very well explained, thanks guys, I understand this better, but another question, "When we account for order above, because there are 3 ways to select for example, red, red, red'; red, red', red; red', red, red; this means to consider all the possible choices in combinations?" So it is...

That's what I don't follow; since there are three cases for batch has one color. P(all red) < P(all green) < P(all blue) Is the probability the batch is all one color the P(all red) because it is the smallest of these cases? (all red)U(all green)U(all blue) is a disjoint union of 3 sets? So...

Homework Statement A bowl contains 3 red, 4 green, and 5 blue chips. A batch of 3 chips is withdrawn at random. What is the probability the batch contains only one color? What is the probability the batch contains exactly two colors? Homework EquationsThe Attempt at a Solution P(all red) =...

If anyone happens upon this thread looking for help in a similar question, the correct conversions are as follows for the \hat x and \hat y components of \vec E_5 : E_{5x} = E_{5r} \cos \phi - E_{5\phi} \sin \phi E_{5y} = E_{5r} \sin \phi + E_{5\phi} \cos \phi and similarly for \vec...

How did you get from the above line to the bottom line? What is the order of operations in the bottom line? What order of divisions do you want to have happen? \frac{m_{1}{}^{2}}{m_2} \sin \theta + m_2 \sin \theta = m_1 Try to simplify and then factor out the sine term.

E_6 = \hat r \sin(\phi) \hat x = \sin(\phi) \cos(\phi) = \sin(\arctan(y/x)) \cos(\arctan(y/x)) \hat y = \sin^2(\phi) = \sin^2(\arctan(y/x))

Homework Statement Sketch each of the following vector fields. E_5 = \hat \phi r E_6 = \hat r \sin(\phi) I wish to determine the \hat x and \hat y components for the vector fields so that I can plot them using the quiver function in MATLAB. Homework Equations A cylindrical coordinate...

Homework Statement Use MATLAB to find the convolution between a) ##f(t) = u(t) -u(t -3)## and ##g(t) = u(t) -u(t -1)## Homework Equations The Attempt at a Solution t = -10: 0.1: 10; f = heavisde(t) -heaviside(t -3); g = heaviside(t) -heaviside(t -1); t = -20: 0.1: 20; c = conv(f, g); plot(t...

For the lower limit of the integral, since ##t \rightarrow -\infty##, ##u \rightarrow 3 -(-\infty) \rightarrow 3 +\infty \rightarrow \infty##, and in the upper limit of the integral, ##t \rightarrow \infty##, implying ##u \rightarrow 3 -\infty \rightarrow -\infty##. The net effect is to...

Homework Statement Evaluate the integral. \int_{-\infty}^\infty f(2 -t) \delta(3 -t) \, dt Homework Equations The Unit Impulse function is defined \hspace{18mm} \delta(0) = 0 \hspace{10mm} t \neq 0 \hspace{-15mm} \int_{-\infty}^\infty \delta(t) \, dt = 1 The Attempt at a Solution Using...

For optical microscopes, the resolvable structures would all be in the visible spectrum of wavelengths. Comparing half of the minimum wavelength of the visible light is 390 nm /2 = 195 nm, to 200 nm of the UV light. Because 195 < 200, the sales rep. is right?

Homework Statement Your molecular biology lab studies proteins, and you're frustrated because your microscopes can't quite resolve crystallized proteins. A sales rep touts the advantages of an expensive microscope using 200-nm ultraviolet light, saying you'll be able to resolve structures less...

Oh geez, what a silly mistake of dividing by three instead of multiplying by three... :confused: Thanks for the feedback.

Homework Statement In a three-slit system, the first minimum occurs at an angular position of 5.00°. Where is the first maximum? Homework Equations dsinθ = mλ/N The Attempt at a Solution dsin5° = λ dsinX = λ/3 sinX = 3sin5° X = 1.66° I'm not sure if this is the right equation to find the...

:p I will be finding Dory now... Thanks a bunch for the posts! I need to be more careful with what the formulas mean in words, so then I will be less likely to apply them blindly and incorrectly.