No, that is what he has down...Except the C is where the p is on yours. I did not know how to do that. I figured it out, though.
since dx=xdt and x=t,
\int from 0 to 1 of t2dt is 1/3.
Homework Statement
Let C be the arc of y=x2 from (0,0) to (1,1). Evaluate \intxdxHomework Equations
C1:
x=t
y=t2
-1 \leq t \leq 1 so -1 \leq x \leq 1
The Attempt at a Solution
dx is x' dt, right?
For some reason, I just can't figure this out. Any help?
Use Lagrange Multipliers to find the maximum and minimum values of f(x,y)=x^{2}y subject to the constraint g(x,y)=x^{2}+y^{2}=1.
\nablaf=\lambda\nablag
\nablaf=<2xy,x^{2}>
\nablag=<2x,2y>
1: 2xy=2x\lambda ends up being y=\lambda
2: x^{2}=2y\lambda ends up being(1...
A 3.0-m-diameter merry-go-round with rotational inertia 120 kg*m2 is spinning freely at 0.60 rev/s. Four 25-kg children sit suddenly on the edge of the merry-go-round. (a) Find the new angular speed in rev/s. (b) Determine the total energy lost to friction between the children and the...
EDIT: I got it! I just used implicit differentiation to find it. Thanks for looking in here everyone!
x2+y2+z2=3xyz
Find the partial derivatives: zx, zy, and zxy.
Okay so I know how to find the partial derivative, but I am not sure as to if I need to get the z on one side by itself...
Two clever kids use a huge spring with 750 N/m to launch their toboggan at the top of a 9.5 m high hill (see the figure). The mass of the kids plus toboggan is 95.0 kg. If the kids manage to compress the spring 2.7 m, what will be their speed at the bottom of the hill? Neglect friction. What...
Thank you for the welcome!
I should have known I was doing it the long way, haha. I am VERY bad for going the more complicated routes because...well they seem easier...Yeah I'm odd.
But thank you for the help! I finally got it after I looked at it for bout another hour, haha.
Anyways...
An asteroid is discovered heading straight toward Earth at 15 km/s. An international team manages to attach a giant rocket engine to the asteroid. The rocket fires for 10 min, after which the asteroid is moving at 28\circ to its original path at a speed of 19 km/s.
Find its average acceleration...