Recent content by hackett5
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Linear Transformation: Proving Linearity with Function T : P3 → ℝ3
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...- hackett5
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- Linear Linear transformation Transformation
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- Forum: Calculus and Beyond Homework Help
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Volume of 1 g Mole Gas at 356.2K & 1 atm: 2.92x10-2 L
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- hackett5
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- Forum: Introductory Physics Homework Help
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Volume of 1 g Mole Gas at 356.2K & 1 atm: 2.92x10-2 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...- hackett5
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- Gas Volume
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- Forum: Introductory Physics Homework Help
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Engineering Solving Circuit Analysis Problem: Find V - Power of 5Ω Resistor is 20W
Awesome! Thanks for the help- hackett5
- Post #5
- Forum: Engineering and Comp Sci Homework Help
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Engineering Solving Circuit Analysis Problem: Find V - Power of 5Ω Resistor is 20W
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 =...- hackett5
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- Forum: Engineering and Comp Sci Homework Help
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Engineering Solving Circuit Analysis Problem: Find V - Power of 5Ω Resistor is 20W
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...- hackett5
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- Analysis Circuit Circuit analysis
- Replies: 4
- Forum: Engineering and Comp Sci Homework Help
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Football Player Kicking Ball: Find Clearance of Uprights
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 =...- hackett5
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- Ball
- Replies: 1
- Forum: Introductory Physics Homework Help
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How Do You Find Instantaneous Velocity at 1s?
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.- hackett5
- Post #3
- Forum: Introductory Physics Homework Help
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How Do You Find Instantaneous Velocity at 1s?
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...- hackett5
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- Instantaneous velocity Velocity
- Replies: 2
- Forum: Introductory Physics Homework Help