Recent content by luju

Homework Statement Let C be a straight path from (0,0) to (5,5) and let F=(y-x+2)i + (sin(y-x)+2)j. At each point of C, what angle does
F make with a tangent vector to C ? The Attempt at a Solution Well the displacement vector for C going from (0,0) to (5,5) is simply...

Imagine yourself standing right next to a moving train, does the horn sound high pitched when you are close to train or away from train. Just turn on some music and move your head towards and away from the source of music. You'll get your answer then. And btw, frequency and wavelength are...

The diameter is 17cm, so your radius is half of that. Give that a try. I see you have 17 instead for radius.

Homework Statement F(r) = r/!r!^3 (Sorry but the ! is supposed to imply that its scalar) I found the curl using the cartesian coordinate definition of curl. It came out to be zero. Now the question is, is F path independent? Its silly, becuase if the curl is zero then it does imply that...

Homework Statement Find the flux of the vector field out of the closed surface bounding the solid region x^2 + y^2 ≤ 16, 0 ≤ z ≤ 9, oriented outward. F = x^3 + y^3 + z^3 Homework Equations The Attempt at a Solution I found the divergence which is 3x^2+3y^2+3z^2. And...

Hold on i just remembered. Are you talking about this in context of Bernoulli's equation? If so then yes they are inversely proportional. P + 1/2pv^2+pgh=constant. Try working around with the equation above and you'll get your answer.

Lets take a general case. P=F/A and F=ma. So we know pressure is directly proportional to force and force is directly proportional to acceleration. Acceleration is the first derivative of Velocity, which means the higher the rate of change of velocity the higher the acceleration. So i...

so we know F=ma right? Then, if your mass is constant, then the value of mass doesn't change. Its a number like 7 or 8 or 9. TO graph mass vs acceleration is to say mass on the y-axis and acceleration on the X axis. So I think it should be something like a straight horizontal line like you...

Find derivative of s(t) and set it equal to zero, and then solve for time. The time you get when you do this tells you when the ball stops moving going up, in other words this is the time when your balls final velocity is zero. Take this time and plug it back to your s(t) equation and it tells...

SO, 5pi/9 is 100 degree. So take sin of that. And do the arc sin of that. Sin(5pi/9) = .9848 arcsin(.9848) = 80 degrees

Homework Statement Consider the following polynomial of degree n > 1, P(x) = anxn + an¡1xn¡1 + ¢ ¢ ¢ + a1x + a0; where a0; : : : ; an are some non-zero constants (don't give them values!). Homework Equations a. We know that P0(x) = nanxn¡1+(n¡1)anxn¡2+¢ ¢ ¢+2a2x+a1, and then P0(0) =...