Recent content by xspook

Attached is the system that I created from the given information This is the third question on our homework, so the writing on it is from the first two questions.

Homework Statement A Koenig eyepiece with a focal length of 100mm is constructed in the following way: The first lens is made of 755276 glass which is 10 mm thick on axis. The radius of curvature of its left hand surface is -225mm, the radius of curvature of it right hand surface is 83.6...

Homework Statement What is the integral from negative infinity to positive infinity of the following functions? a) f(z) = \frac{e^{-i5z}}{z^{2}+1} b) f(z) = \frac{e^{-i5z}}{z^{2}-1} c) f(z) = \frac{1}{π}\frac{a}{z^{2}+a^{2}} d) f(z) = e^{\frac{-(z-ia)^{2}}{2}} e) f(z) = \frac{sinz}{z}...

I guess I could divide by 2 and get r by itself r=(\frac{x}{2})^{2}+(\frac{y}{2})^{2}-\frac{3y}{2} but I don't know what I would do with that.

What do I end up doing with the 2r now? All of my examples from class always end up looking like r^{2}=(some coefficient)(a variable) we never have a term with r remaining

Homework Statement Curve C is given in Polar Coordinates by the equation r=2+3sinθ. Consider the usual Cartesian plane and take O as the pole and the positive x-axis as the polar axis. Find points on the curve C where the tangent lines are horizontal or vertical and sketch the curve C...

From 1→2 is compression From 2→3 is fuel injection/combustion From 3→4 is the power stroke From 4→1 is exhaust

1,2,3 and 4 are the strokes of the cycle. Well the different points on the picture. and δ is supposed to be gamma, which is the adiabatic exponent. I thought I could use W=∫pdV = C_{v}(T_{1}-T_{2} for the compression stroke...but I guess that is incorrect

Homework Statement Derive a formula for the efficiency of the Diesel cycle, in terms of the compression ratio V1/V2 Homework Equations e=\frac{W}{Q_{h}} w= ∫pdV The Attempt at a Solution Now I know I should have used e=1-\frac{Q_{c}}{Q_{h}} to get it but he said it is...

Sorry I meant to say MacLaurin series. A friend told me I have to solve it using infinite series but that still has me confused

Homework Statement f(x)=\frac{4x}{(4+x^{2})^{2}}Homework Equations \frac{1}{1-x} = \sum x^{n} The Attempt at a Solution How am I supposed to use that equation to solve the main problem. I have the solution but I don't understand how to do any of it. My professor is horrible, been on...

My professor gave me a 4 out of 10 possible points...he passed out the solutions to the problems and oddly enough I have the same answer.

Thank you Zondrina!

How about: If I use the comparison test for \frac{1}{ln(2n+3)} and compare with \frac{1}{n} \frac{1}{n} is a divergent p series using the comparison test, \frac{1}{ln(2n+3)} is also divergent?

Basically we have \frac{1}{ln(2n+3)} The limit of ln(2n+3) is ∞. \frac{1}{∞} = 0 is there something I am missing?