Homework Statement
Define a Function T : P3 → ℝ3 by
T(p) = [p(3), p'(1), 0∫1 p(x) dx ]
Show that T is a linear transformation
Homework Equations
From the definition of a linear transformation:
f(v1 + v2) = f(v1) + f(v2)
and
f(cv) = cf(v)
The Attempt at a Solution
This is how...
Well, I reworked the problem and found my mistake. I got this to work out right:
(1.013x10^5)(V)=(356.2)(6.02214x10^23)(1.38065x10^-23)
V=.029236 m^3
V=29.236 L
Homework Statement
A gas obeys the ideal-gas equation of state PV = NkT , where N = nNA is the number of molecules in the volume V at pressure P and temperature T and n is the number of g moles of the gas.
Calculate the volume (in L) occupied by 1 g mole of the gas at atmospheric pressure...
Well, using I= V/R, I get 2A (I1) going through the 5Ω node. The 2Ω and 3Ω resistors are in series so I can combine them as 5Ω. So through that node the current would also be 2A (I2) and voltage would be 10V. Then I2 + I1= Itotal or 2A +2A= 4A? The total resistance would be 2.5Ω and voltage =...
Homework Statement
Hello, I was hoping someone could walk me through the steps to solve this problem:
The power absorbed by the 5Ω resistor is 20W. Find V
http://img191.imageshack.us/img191/6411/14966985.jpg
Homework Equations
V= I x R
P = V2/R
The Attempt at a Solution
I...
Homework Statement
A football player has to kick a ball through the uprights that are 36m away and 3.05 high. He kicks the ball at 20m/s and at an angle of 53 degrees. By how much does the ball clear or fall short of the goal?
Homework Equations
Horizontal Range= vi2 sin 2\Theta/ g
Height =...
Thanks for pointing out my now obvious mistake! I didn't even think to check to see if I had gotten the slope correct, I just assumed my understanding of instantaneous velocity was wrong.
The position versus time for a certain object moving along the x-axis is shown. The object’s initial position is −2 m. Find the instantaneous velocity at 1s.
http://img23.imageshack.us/img23/5285/phy1w.jpg
Using points (0,-2) and (2,7) I found the equation of the line to be =7/2x-2. Since...