Homework Statement
I am given a thermal sensor that measures temperature at 10mv/degree C. We are to measure a range of -10 to 100 degrees C. Design a circuit that will connect the thermal sensor to a micro controller with an A/D Converter the must take an input from 0 to 4v...
Hey guys,
I was hoping somebody might help me; I'm really confused. I obtained the formula for distance, which is this:
d=[(2[v_0]^2(cos[alpha])sin([alpha-beta])]/gcos^2(beta)
And the derivative for distance, which is this:
derivative of d with respect to...
Homework Statement
The following equation defines a rational function.Find its Range
f(x) = x2/(x-1)
The attempt at a solution
Let y = x2/(x-1)
=>y(x-1) = x2
=>xy-y = x2
=>x2-xy+y = 0
comparing with the general form of quadratic equation ax2+bx+c = 0,
a=1, b=-y, c=y...
Dear Forum Users,
I am looking for a database of proton fluxes. I have found already the SOHO database:
http://umtof.umd.edu/pm/
but I need also the database for energy range of 1keV to 100 keV range.
Does someone could send me some hints where to search?
nykon
Homework Statement
There are 10 observations.
(a) Suppose the IQR is 8. Is it possible that the standard deviation is 1?
(b) Suppose the standard deviation is 8. Is it possible that the IQR is 1?
Homework Equations
IQR = R3 - R1
The Attempt at a Solution
My argument is that (a)...
Homework Statement
Prove T is a linear transformation and find bases for both N(T) and R(T).
Homework Equations
The Attempt at a Solution
T:M2x3(F) \rightarrow M2x2(F) defined by:
T(a11 a12 a13)
(a21 a22 a23)
(this is one matrix)
=
(2a11-a12 a13+2a12)...
Homework Statement
Need to find the range of 1/{(x-1)(x+2)} for [0, 6]
Homework Equations
The Attempt at a Solution
The domain is [0, 1) AND (1, 6] because 1/0 is an invalid operation. So I tried and this is what I got: [-0.5, ∞) and [0.025, ∞). Wrong, of course :)
How do I go...
Homework Statement
Prove that if T, S : V -> W are linear and W is finite dimensional then
dim (range(S + T)) <= dim range S + dim range T
Homework Equations
The Attempt at a Solution
I know that the dim range S + dim range T can be at most 2 * dim W. However, I'm a little...
Homework Statement
f(x) = (arctan(ln(sqrtx - 1)))^3
Homework Equations
domain of arctan: all real numbers
range of arctan: -∏/2, ∏/2
The Attempt at a Solution
I know that domain is x>0 when x ≠ 1, because I need a positive number to go under the radical and the natural log of 0 is...
Homework Statement
The car passes point A with a speed of 25 m/s after which its speed is defined by V = (25-0.15s)m/s. Determine the magnitude of the car's acceleration when it reaches point B, where S = 51.5 m. (the max height of the hill is 16 m, and the function of the hill the car is...
Homework Statement
A cannon fires projectiles on a flat range at fixed speed but with variable angle. The maximum range of the cannon is L. What is the range of the cannon when it fires at an angle \frac{\pi}{6} above the horizontal? Ignore air resistance.
Homework Equations
Four...
Homework Statement
Hi
The FSR of a laser with length L is given by Δv = c/2L. If I want to find what Δv is in wavelength, then how do I do this? Obviously I need c=vλ, from which we know that Δv/v = Δλ/λ. But the last equation I can't apply to this case, since it refers to errors around...
Homework Statement
f(x) = ex2
find the range of f(x)
How do I do this - I don't know how to draw this graph?g(x) = x2 + 3ex2
Again, how is this done without drawing the graph?Homework Equations
The Attempt at a Solution
so for the first graph, for example, I differentiated it
dy/dx for f(x) =...
I'm trying to come up with some ballpark ranges for RC electric powered aircraft. The literature I find so far on range, like the Breguet range equation, seems focused on mass change from fuel consumption which is not the case in battery powered electric aircraft. So I thought I would start...
Homework Statement
The function f has domain (-∞, ∞) and is defined by f(x) = 3e2x.
The function g has domain (0, ∞) and is defined by g(x) = ln 4x.
(a) Write down the domain and range of f∘g.
(b) Solve the equation (f∘g)(x) = 12
2. The attempt at a solution
(a)
Is it correct...
Homework Statement
Represent the linear span of the four vectors x_1 = (-1,1,1,2), x_2 = (2,1,7,1), x_3 = (3,-2,0,5), and x_4 = (1,0,2,1) as the range space of some matrix.
The Attempt at a Solution
It's been along while since I've done any linear algebra and so I'm not sure what to do...
Homework Statement
A young student, dissatisfied with simply dropping fruit, decides to throw an apricot off a cliff. The apricot leaves the top of the cliff at a speed of 25 m/s and at an angle of 50° above the horizon. If the cliff is 310m tall, how far down range is the fruit when it hits...
1. How do angle of launch, range, and flight time relate to one each other?
2.ΔX=vcosθ*t
[b]3. According to the equation above,in my opinion as θ increases, range should decrease and time(t) should increase. Is there any other way of knowing the relation?
1. Plot the graph of thefunction f(x) = x^2 -2x -3 and determine the range of x for which the function is positive
x^2 -2x - 3
(x+1) (x-3) = 0
x = -1 and x = 3
Range -1, 3 <--- I am not sure am I right?
Cheers!
Why do the gluon and W and Z boson particles have a limited range of movement, 10-15m for the gluon and 10-18m for the W and Z bosons, when the photon particles, gravitational force, and other particles have no limit to the distance they can travel?
My question is taking the Bethe-Bloch equation and integrating to find the range of an energetic Deuteron. I first have the Bethe-Bloch equation,
\frac{dE}{dx} = -\rho 0.1535 \frac{Z_{p}^{2}}{\beta^{2}} \left(\frac{Z_{A}}{A}\right) \left[ln\left(\frac{2 M_{e} c^{2} \beta^{2}}{IE\left(1 -...
Homework Statement
The isomerization of 1-butene and trans-2-butene occurs as shown in the table at selected temperatures. Estimate the average values of ΔH and ΔS in this temperature range.
T/Kelvins....K
883.... 1.10
826.... 1.20
779.... 1.36
733.... 1.49
702.....1.63
686.....1.72
The...
Homework Statement
Hi guys. Recently, my physics' teacher told my class to make an experiment from any of the themes which are covered in the period. I need some ideas in which I can make something, somewhat good and not easy looking, but at the same time not very budget consuming...
Homework Statement
Here's what the question says.
"Consider a cube of gold 1 mm on an edge. calculate the approximate number of conduction electrons in this cube whose energies lie in the range from 4.000 to 4.025 at 300k. Assume Ef(300K) = Ef(0)."
Homework Equations
Well, I know...
Homework Statement
If a trajectory is shot at angle theta at a fixed projectile velocity of 50 m/s, what angle(s) could it be shot so that it just makes it over a wall 30 meters high, 220 meters down the path.
Homework Equations
d=1/2at^2+vt
sinx*v=vertical component...
Hi,
I'm trying to find the range of α-particles in silicon; I can work out the stopping power, \frac{dE}{dx}, but the reference I'm using then states that I need to integrate it as follows:
R=\int_T^0 (-\frac{dE}{dx} ) ^{-1} dE
The thing is, I'm not sure as to how to even start this...
Homework Statement
The following two gain equations are given (G is the forward-path gain; H is presumably the feedback gain):
G(s) = \frac{s + 3}{s^{3} + 2s^{2} + as + 1} ;
H(s) = \frac{s + b}{s + 5}
The question asks that the range of values for a and b be determined such that the...
I need help. I'm totally puzzled. How would the arcsin function look like without a restricted range? Can anyone post an image?
http://img94.imageshack.us/img94/9886/arcsin.png
Im trying to expand the range of my wifi network, and I am not sure exactly what to expect from a +27 dbi antenna. As I understand it, this will cause the power density to increase by a factor of 2^9. Does that mean the range will increase by a factor of 2^9? or would it be more like...
How to calculate number of quantumstaes or unit cells within energy range E and E+dE in the phase space to prove the eqn: g(E)dE=[(8π√2V)/h^3]*m^(3/2)√EdE
Hello everyone,
I am having difficulty understanding the difference between the basis of a subspace A and and the basis of the range of A. My textbook seems to follow the same approach in determining both. So are they essentially the same?
I obtained the following from a book.
Question is:
Periodic Sawtooth described by the following;
f(x) = x/2∏ for 0<x<2∏
f(x+2∏) = f(x) for -∞<x<+∞
The solution is:
If x = 0
y = 0
If x = 2∏
y = 2∏/2∏ = 1
If x = 4∏
y = f(2∏+2∏) = 2∏ = 1
Can anyone...
Hello,
I'm looking for a distance sensor for range of 100 meters (neutral surface).
The sensor should be small (15cm^3).
Do you have any recommendations?
thanks
Nir
Homework Statement
Let T: P2-P3 be the linear transformation defined by T(p(x)) = xp(x). Which of the following are in R(T)?
(a) x2
(b) 0
(c) 1 + x
Homework Equations
R(T) is the the set of all vectors in P3 which are images under T of vectors in P2.
The Attempt at a Solution...
I am taking an online intro to physics course and was required to watch lecture videos.
My prof tells me to maximize my range by differentiating the function. My calculus is a bit rusty could someone refreshen my memory of how to do this? I believe i am solving for α.
(dΔx/ dα) = 0 ...
Hello, I have a couple of questions regarding a projectile motion lab I'm working on. The lab involved launching a ball from a mechanical launcher at a certain height and recording/calculating some values.
So I found that the angle of maximum range decreases as the launch height increases...
http://farm7.static.flickr.com/6125/6203213456_7daabe9662.jpg"
This is my first post and I've never been here so I'm not sure this is where i should post my question, but if I'm wrong, pls correct me.
This force sensor is to load my truck ontop of that shaft to determine it's drag force...
I am using smooth-particle hydrodymamics(SPH) method to model a deformable object. It is based on the procedure found in Markus Gross's point based animation book, the algorithm is attached in the image below.
This algorithm uses Euler for numerical integration as seen in step 21 and 22, and...
Let F: [-2,5] --> R be function with rule F(x) = x^2 - 1. Show range of F = [-1,24].
I get that 5^2 = 25 - 1 = 24, but how does one get the lower bound of the range to be -1?
Homework Statement
The question is as following:
a) A dog in a stunt takes a jump off a rook which is 40 m high above the ground and lands on the next building which is of the same height , the gap between the two buildings is 6m @ the velocity of 8 m/s .Find the range of angles at which he...
Homework Statement
I don't remember the exact question right now, but it was something like this:
f(x) = sqrt(4 - x^2)
I needed to give the domain / range of it, and also symmetry I believe.
Homework Equations
The Attempt at a Solution
I know this is a half circle after...
Hello,
I have built an AM transmitter and now I can only receive signal within just 1m radius of the transmitter. I use a colpitt oscillator to get a carrier of 740khz. For the modulating signal I'm using a 1khz tone from a signal generator although I've also used an electret microphone. I am...
Homework Statement
Hello,
I ran into this problem in the middle of my physics homework:
Using calculus, you can find a function’s maximum or minimum by differentiating and setting the result to zero. Do this for equation y = (u^2 / g)*sin(2x), differentiating with respect to x, and thus find...
Homework Statement
1. Rewrite as piecewise: g(x) = 2x - |3x-2|
2. Give domain and equation represented by f(g(x)) when g(x) = √(x+1) and f(x) = 3/x
3. Give range of P(x) = {2x-1, x >/= 1
{x^2 + 1, -1 </= x < 1
{√|x|, x<-1
thanks in advance
Homework Equations
The Attempt at...
Homework Statement
What is the maximum vertical height to which a baseball player can throw a ball if his maximum throwing range is 54 m?
vertical: a=9.8 m/s/s, Vyo=0 m/s, d=?, t=?
horizontal: d=54 m, a=0 m/s/s, Vxo=?, t=?
Homework Equations
d=Vo*t+.5*a*t^2
The Attempt at a...