I discovered that that is the conjugate and I came out with this:
27-6sqrt(t)-tsqrt(t)
----------------
9-t
So in other words, that limit does not exist. Is that right?
Problem Calculating a limit with a square root, I'm stuck :(
Homework Statement
The limit is equation 9-t / 3-sqrt(t) as t approaches 9
I'm stuck on the how to simplify this?
Thanks for any help.
Homework Equations
The Attempt at a Solution
Homework Statement
The figure shows the graph of a cubic polynomial.
The function graphed is f(x)=
Hint: You may write the function as f(x) = a(x-b)(x-c)(x-d) where b, c, and d, are integers and a is a fraction.
Homework Equations
The Attempt at a Solution
I'm lost...
Homework Statement
How would you solve this problem:
x^2 - 5x >= 0
Homework Equations
The Attempt at a Solution
I think it might be something to do with the Quadratic Formula?
Actually would I be correct in saying that all like terms would be combined? because D'+D'+D'=D' so the simplified form of the equation above would be AB'+D'
Is that right or am I completely crazy?
Homework Statement
I came to an equation which looks like this:
AB'D' + AC'D' + CD'
I know I can simplify out the C to this
AB'D' + AD' + D'
Any further simplification available (And am I simplifying properly so far?)
Thanks
Homework Equations
The Attempt at a Solution
Let me throw another one out there to hopefully make it easier to understand (don't worry about the transfer function)
so 2.2e3/2.2e3+i2pi10e-3
How would that be simplified or in simpler terms
a/a+b
How would you simplify that
The problem above would be i*2pi*f*L/R+i*2pi*f*L
f is the...
My algebra is really rusty, anyway I'm trying to simplify a Transfer Function so I have
H(jw)=ZL/R+ZL so ZL is the impedance of an inductor and R is the impedance of the Resistor, my question is how would I go about simplifying that transfer function into it's simplest form?
Thanks...
Oh and Quick question about Calculating Vb I know that I can use the Voltage Divider Rule to get it (I did that for Va)
For Vb would I use the total impedance of all the impedances above the 820 ohms as say Z1 and then the impedance of the 820 Ohm resistor so it would be Vb=V*...
I'm glad it's right, The book tries to simplify things by adding the ohms to help us realize that impedance is similar to ohms when the book get's more complicated it shows the actual capacitance. So I guess the book is kind of in "Training Wheels" mode at the moment :)
I have a circuit here:
And I simplified it like so:
Did I do it correctly?
Thanks,
Jordan
Homework Statement
Homework Equations
The Attempt at a Solution
3. I'm just asking if impedance is equivalent to Resistance when it asks for the Impedance of a Resistor.
4. The equation given is Vs(t)=10sin(400t) and the Inductor L is 80mH so from those two values I came up with the following as the value of the Impedance of the Inductor...
Homework Statement
I have a couple of questions about one of my homework assignments any help would be greatly appreciated.
1. How do you find the Voltage drop of a Resistor in an AC Circuit is it similar to DC? V=IR The Resitor value is 68 ohms and there is an 80mH inductor in front of...
Sorry to bash on Physics websites but so far every Physics site I've found has had terrible design, poor teaching and organization. (similar to my teaching) With the exception of this site. (Best Physics Site I've found). I've found great resources for learning on every other subject through...
Homework Statement
mgh=1/2mv^2+1/2mr^2(v/r)^2
I need to solve for v, I'm really stuck on Algebra can anyone show me the steps I'd take to solve for V?
Thanks
Homework Equations
The Attempt at a Solution
Tried thinking it through but I'm getting stuck :( :(
Ok, I used this equation:
Vi1+Vi2=Vf1+Vf2
Vi1-Vi2=Vf1-Vf2
which would mean
15m/s + -15m/s=Vf1+Vf2
0=Vf1+Vf2
or
Vf1=-Vf2
and
15m/s- -15m/s=Vf1-Vf2
15+15
30m/s=Vf1-Vf2
30m/s=Vf1-Vf1
what am I doing wrong?
I'm reading this:
http://en.wikipedia.org/wiki/Elastic_collision#One-dimensional_Newtonian
I'm confused on what the 'u' means under one dimensional Newtonian, does it just mean velocity?
Thanks
Homework Statement
Two elastic balls, one with mass m = 50 g and the other with mass M = 3m experience a head-on elastic collision after initially traveling in opposite directions at the same speed v = 15 m/s.
Use the conservation of momentum strategy to obtain symbolic expressions and...
Homework Statement
A parachutist with mass m = 70 kg jumps from an airplane traveling at a speed v = 100 km/h at a height H = 2500 m and lands with a speed vf = 5.00 m/s. Use the “conservation of energy strategy” to calculate the change in internal energy of the system from just after the...
Ok, that makes sense, what does it mean when it says Total Energy? I think it means
E=KE+PE
E=1/2mv^2+mgh
So Total Energy can be negative because Potential Energy can be negative, is that right?
Homework Statement
Explain why it is possible for potential energy and total energy to be either positive or negative, but kinetic energy is always positive
Homework Equations
The Attempt at a Solution
I'm thinking that Potential Energy and Total Energy can be opposite and take...
Homework Statement
I have a problem for Work which looks like this:
W=[(5.0i+2.0j)]N * [(2.0i+3.0j)]m
=5.0i+2.0i+5.0i*3.0j+2.0j*2.0i+2.0j*3.0j Nm
=[10+0+0+6]Nm = 16
How does that work? I don't understand?
Homework Equations
The Attempt at a Solution
Homework Statement
A train consists of a 4000 kg locomotive pulling two loaded boxcars, the ﬁrst with a mass of 12,000 kg and the second with a mass of 16,000 kg. Assume that the boxcar wheels roll without friction and ignore aerodynamics. The acceleration of the train is 0.4 m/s2.
With...
Homework Statement
You are standing on the ﬂoor of an elevator that starts, at rest, at the ﬁrst ﬂoor of a building and then moves at constant speed to the tenth ﬂoor where it stops. Then you reverse the motion, ending where you started at the ﬁrst ﬂoor.
Describe the two important forces...
Homework Statement
A frieght train has a mass of 1.5x10^7 kg. The wheels of the locomotive push back on the tracks with a constant net force of 7.5X10^5N, so the tracks push forward on the locomotive with a force of equal magnitude. (ignore aerodynamics and friction) how long would it take...
Homework Statement
What does \mathbf{\frac{d\vec{x}}{dt}} mean? If my latex doesn't work that should be
dx/dt where x is a vector?
Thanks,
I think it has something to do with derivatives if so how do I use it?
Homework Equations
The Attempt at a Solution
Homework Statement
A conical pendulum is made of a ball on the end of a string, moving in circular motion as represented in the ﬁgure below. The length L of the string is 1.70 m, the angle θ is 37.0o, and the ball completes one revolution every 2.30 s
Calculate the acceleration of the...
Sorry I'm still a bit confused I first tried solving for Velocity Final LaTeX Code: v_f = v_i + at and did vf=0+2(-10m/s)(-75m) which gave 1500 and then I tried to solve for time using LaTeX Code: s = \\frac{(v_f + v_i)}{2}t and that came out with .1 second but I don't think I'm doing it right. :(
Alright, here is what I got
R=L*sin(37)
R=1
Diameter=2
Circumference=pi(2)
Circumference=6.3
Speed=Distance Traveled/Time
Speed=6.3m/2.3s
= 2.7m/s
Is that right?
Ok, the angle still throws me a little bit off, because won't the displacement (s) be more than 75 meters? Because it is shot up 40 degrees into the air? How do you take that into consideration?
Thanks
Homework Statement
A projectile is launched with a speed of 50.0 m/s and an angle of 40.0o above the horizontal, from the top of a 75.0 m high cliﬀ onto a ﬂat valley ﬂoor at the base of the cliﬀ. Assume that g = 10.0 m/s2 and ignore aerodynamic eﬀects.
How long does it take for the...
Homework Statement
A conical pendulum is made of a ball on the end of a string, moving in circular motion as represented in the ﬁgure below. The length L of the string is 1.70 m, the angle θ is 37.0o, and the ball completes one revolution every 2.30 s.
Calculate the speed of the ball, by...
Homework Statement
A projectile is launched with a speed of 50.0 m/s and an angle of 40.0o above the horizontal, from the top of a 75.0 m high cliﬀ onto a ﬂat valley ﬂoor at the base of the cliﬀ. Assume that g = 10.0 m/s2 and ignore aerodynamic eﬀects.
Write equations for position...