Homework Statement
A spring mass system has the equation of motion:
c1e^(-t)*sin(t) + c2e^(-t)*cos(t) + 3*sin(t)
Is there damping in the system? Is there resonance in the system?
The Attempt at a Solution
If I had to guess I would say that the 3*sin(t) at the end of the equation...
Homework Statement
The axis of a light in a lighthouse is tilted. When the light points east, it is inclined upward at 7 degree(s). When it points north, it is inclined upward at 2 degree(s). What is its maximum angle of elevation?
Homework Equations
The Attempt at a Solution...
Homework Statement
A factory has a machine which bends wire at a rate of 4 unit(s) of curvature per second. How long does it take to bend a straight wire into a circle of radius 8?
My professor likes to give us things we've never seen before on our weekend quizzes. The above is one such...
Homework Statement
Find the curvature \kappa(t) of the curve \\r(t)=(2sint)i +(2sint)j +(3cost)k
Homework Equations
\\\k(t)= (\left|T'(t)\right|) / (\left|r'(t)\right|)
The Attempt at a Solution
I found \\\\r'(t)= (2cost)i + (2cost)j + (-3sint)k
\\\\\...
Homework Statement
A gun if fired with an angle of elevation of 30 degrees. What is the muzzle speed if the maximum height of the shell is 500 m?
Homework Equations
The Attempt at a Solution
I haven't gotten very far at all. I'm not sure how to even start this one. I know that...
Homework Statement
Find parametric equations for the tangent line at the point
(\cos(\frac{4 \pi}{6}) ,\sin(\frac{4 \pi}{6}) ,\frac{4 \pi}{6}) )
on the curve
x=\cos t,\ y=\sin t, \ z=t
Homework Equations
The Attempt at a Solution
Took the derivative
r'(t)=( -sint...
Homework Statement
A child walks due east on the deck of a ship at 1 miles per hour.
The ship is moving north at a speed of 4 miles per hour.
Find the speed and direction of the child relative to the surface of the water.
Homework Equations
The Attempt at a Solution
I've...
Homework Statement
Find the equation of a sphere if one of its diameters has endpoints: (-1, -16, -1) and (17, 2, 17).
Homework Equations
midpoint formula= x1+x2/2 + y1+y2/2 + z1+z2/2
equation of a sphere= (x-a)^2 +(y-b)^2 +(z-c)^2
The Attempt at a Solution
Okay this problem is...
Homework Statement
A horizontal clothesline is tied between 2 poles, 12 meters apart.
When a mass of 2 kilograms is tied to the middle of the clothesline, it sags a distance of 5 meters.
What is the magnitude of the tension on the ends of the clothesline?
Homework Equations
F=mg...
My school is offering the United State's first corrosion engineering degree, and I was curious if anyone knew just how useful that degree might be. The university makes it sound rather in demand, but I'd like to get an unbiased opinion. I've already finished my first year in Chemical...
Sorry in advance, because I realize this is an incredibly broad question.
I'm studying Chemical Engineering in the U.S(ohio) and I really would love to further my studies somewhere. I will most likely graduate with my B.S in ChemE with about a 3.5/4.0 GPA. I know there are a LOT of other...
Homework Statement
Express the integral as a limit of Riemann sums. Do not evaluate the limit.
Homework Equations
\int_0^{2\pi} x^{2}sin(x)\,dx
The Attempt at a Solution
I really don't know where to start...any help getting me started would be highly appreciated!
Yes, that's right, I said it.
Most of the grad students, professionals, and upperclassmen are probably laughing at my title, either because they breezed through the course, or because they too, remember being a first semester freshman in engineering, and hearing such horrible things about...
I decided to major in Chemical Engineering because I love science and math, but most engineers and engineering majors would be lying if they said salary was not a motivation for entering their field.
That being said, what does the future career outlook look like for engineering in general...
Sorry if this sounds stupid, but I will be a freshman next year and I have no clue what it is. I understand that it's research experience for undergraduates, but how exactly do you enter one of these programs, and what exactly do you do in them?
Btw, I will be majoring in Chemical...
the fundamental theorem of calculus
Homework Statement
\int^{3}_{2}12 * (x^2-4)^(5) * x
Homework Equations
U substitution.
The Attempt at a Solution
This is part of a FTC problem, but I find myself stumbling a little bit with the u substitution still. I'm not sure when the du=...
I'm definetly thinking about buying a digital voice recorder to tape my lectures. I wanted some that could hook up to a laptop and that I could listen to with headphones. Is this possible. I've never done this so I don't know where to look. Does anyone have a brand or model of preference?
Homework Statement
Find the indefinite integral using substitution:
\inte^2x(1+e^2x)^3 dx
Homework Equations
The Attempt at a Solution
I'm not sure how to start. What do I substitute? Any suggestions to get me started will be greatly appreciated.
Me and my girlfriend have been having this ongoing debate, and I'd like to see what others think is the best age. When I say "best age" I mean the age where you are old enough to be financially stable and responsible, yet young enough that you're not quite over the hill.
I say 28, she says...
I will be a freshman ChemE student next fall and I understand that it is a difficult major, but I was wondering just how difficult it was. How many hours a week did you spend studying in your undergraduate years? Were the tests for some of the courses impossibly hard(i.e. the tests were so...
I know this is such a vague question, but I really just want some ideas for a new laptop for school next year. I'm looking more at the average price range, but if theres a more advanced product that looks like it would be worth the dough, I might think about it. I'm open to any and all...
I'm a chemical engineering major and I noticed that my second semester I'll be taking chemical engineering computations, which entails "basic programming language." I don't know the first thing about programming, so what books could I study this summer as a good intro? Sorry if I'm being a...
Well , I'll be going to college next fall for engineering, and I'm pretty confident that I'll do well. My only issue is this "leadership community" I've enrolled myself into, which I will be starting my first semester. It's just a separate residence hall that is exclusive to the members, and...
I was really excited because I tested into this calc class for my first semester as a freshman , and then I realized..I don't really know what it is. Is "Analytic Geometry Calculus 1" any different from a normal calc 1 class? What should I expect from this course?
This is the book I have to use for my "Analytic Geometry Calculus 1" course.
CALCULUS
STEWART
Edition:6TH 08
Publisher:CENGAGE L
Here's a link I found on the book. http://academic.cengage.com/cengage/student.do?product_isbn=0495011606&disciplinenumber=1 [Broken]
Has anybody had any...
I'm a high school senior in AP physics B, and quite frankly I'm bored to death with what were learning right now. I've gotten a little case of senioritis, and I feel less and less like trying to be interested. So with that said, would it be advisable to just read further on into my book and...
I'm going to be an engineering undergrad next year and lately I've been doubting how well I will do. I'm not a genius, and I haven't taken any of the AP Calc courses during my time in high school, but I do have an interest in Science and math. I definetly wouldn't say that I'm bad at math( I...
I'm a high school senior going to college next year to study engineering. I'm kind of stressing over these math placement tests that my school makes all engineering majors take.
Most students with my major take Analytic Geometry Calculus their first semester. As I mentioned, all engineering...