Homework Statement
A capacitor C is charged to an initial potential of 70.0 V, with an initial charge of Q0. It is in a circuit with a switch and an inductor with inductance L = 4.03×10-2 H and resistance RL.
At t=0, the switch is closed, and the curve below shows the potential V across the...
Homework Statement
R = all real numbers
F(x) = { y in R : sin(y) = x}
1. Is F a mapping from R to R
2. Describe the three sets F(5), F(0), F(1).
3.Can F be represtented as a function from R to R
4. Give two different choices of X and Y (take both X and Y to be subsets of ?) so that F can...
Homework Statement
Determine whether or not f(x,y) is a conservative vector field.
f(x,y) = <-3e^(-3x)sin(-3y),-3e^(-3x)cos(-3y) >
If F is a conservative fector field find F = gradient of f
Homework Equations
N/A
The Attempt at a Solution
Fx = -3e^(-3x)(-3)cos(-3y)
Fy =...
Oops, I tried it correctly first but then swapped to see if that helped with anything, i put it back in x/y
But, i redid the problem and got..
y=0, x = (1/18)pi(4n-1)
y=0, x = (1/18)pi(4n+1)
Not sure how to translate that to the 4 closest points? Tried this but didn't work...
Homework Statement
Find the absolute maximum and minimum values of f(x,y) = y^2+x^2 -4x + 11 on the set D where D is the closed triangular region with vertices (8,0),(0,4) , and (0,-4) .
Homework EquationsThe Attempt at a Solution
[/B]
fx = 2x - 4
fy = 2y
Critical point = (2,0)
The...
There isn't one, it just says if it is correct or not (anwser must be exact)
With further research, it seems one angle is
"arcsin(13/32)/2" , which is what I had but in decimal form, however can't find the second angle.. , i tried 90 - arcsin(13/32)/2, 180 - arcsin(13/32)/2, 360 -...
Homework Statement
Firing something at 40m/s at angle X, it lands 65meters away, give 2 angles it could be.. (Assume g=10m/s^2)(Fired at y=0)(No air resistance)
Homework Equations
D = v^2/g sin(2x)
[/B]
The Attempt at a Solution
d= v^2/g sin(2x)
65 = 40^2/10 sin(2x)
650/1600 = sin(2x)...
I was watching a tv show and they stated...
If you know the exact position and velocity of every particle you can accuratly predict the future for the rest of time.
However I know that you cannot know the exact position AND velocity of a sub atomic particle.
How accurate is the first...
I never had to do anything with the domain, it just worked.. But i guessed 0, pi/2 and 3. I thought it was be pi/2 because that's where it goes from neg to pos.
Homework Statement
integral of 1/sqrt(9-x^2)
from 0 to 3
Homework Equations
///
The Attempt at a Solution
I integrate it correct to arcsin(x/3) from 0 to 3
Get the correct anwser of pi/2.
But there is another question, At which value of x in the integration region [0,3]...