Range Definition and 979 Threads

True of false: If A is a square matrix, ker A \cap rng A = {0}. Now it seems to be like this would be false because if the kernel, aka nullspace, is zero then the matrix will have a non-zero range. Also, the range and kernel have dimensions in different spaces, and they will not have the...

Hi. This isn't directly a homework question, but it will help in general. Im having a little trouble understanding what the difference between a range and codomain is. For example, for the function f(x) = \frac{3}{{2x - 2}}, i understand that the domain is \{ x \in R:x \ne 1\}. Now, i also...

most of the temp sensor ics goes upto 150 'c. can anyone suggest any ic that has upper limit of 400 'c? may be 350 'c

Say I define a function f by sending a well ordered set X to the least element in X. For example, if N is the natural numbers with the usual ordering, then f(N)=1. This function seems to be well defined. I guess its domain is the set of well ordered sets, but this sounds strange. Whats even...

Good evening guys, i have two stupid questions that I'm stuck on and i would be grateful if anyone could help Question 1: f(x)= x+1 g(x)=x^2 the domain in each case is the interval [-1,1] and belongs to the set of real numbers then find the range of: (fog)(x) My Answer...

Hi all, I have a high gain current to voltage amp connected to 2-3 meters of coax which is picking up noise in the 7-10.5 kHz range. Does anyone have any expereince in waht could be the source of this noise? Right now I'm using a couple op-amps and a low pass filter to get the noise to a...

Homework Statement A projectile is fired from the origin down an inclined plane that makes an angle, b, with the horizontal. The angle of elevation of the gun and the initial speed of the projectile are a and V, respectively. Show that the angle of elevation, a, that will mazimize the...

Homework Statement An athlete puts a 16lbs shot at an angle of 45 degrees to horizontal from 6.5ft above the ground at initial speed of 44ft/sec. How far does the shot land? g=32ft/s^2 Homework Equations I can only calculated the range from the point it is fired to the point...

Hi. I need help computing a range. The question is : Find the domain and range of y=\frac{|x+2|}{x}. The domain is obvious, x can't be 0, (-inf,0,) U (0,inf). But how do I find the range?? Can someone help me out? I have tried messing around with the definition of absolute value... if...

Question: How far will a stone travel over level ground if it is thrown upward at an angle of 31.0 degrees with respect to the horizontal and with a speed of 11.0m/s? What is the maximum range that could be achieved with the same initial speed? I have tried to solve this with no sucess...

Question: How far will a stone travel over level ground if it is thrown upward at an angle of 31.0 degrees with respect to the horizontal and with a speed of 11.0m/s? What is the maximum range that could be achieved with the same initial speed? I have tried to solve this with no...

Find the range and kernel of: a) T(v1,v2) = (v2, v1) b) T(v1,v2,v3) = (v1,v2) c) T(v1,v2) = (0,0) d) T(v1,v2) = (v1, v1) Unfortunately the book I'm using (Strang, 4th edition) doesn't even mention these terms and my professor isn't helpful. My professor said: "Since range and kernel...

How does one calculuate/analyz RF range and amplitudes given off buy discharging spark gap.

A projectile is fired so that its horizontal range is 3 times its max height. What is the angle? Well, I'm stumped because I thought if I just drew up a triangle and did arctan(1/3), I would get the correct angle... apparently not.

Hello everyone. I've been looking at examples and I can't seem to see what they are doing. For example, the book has: Suppose that d1, d2, d3 ... is a sequence defined as follows: d1 = 9/10, d2 = 10/11. dk = dk-1 * dk-2 for all inegers k >= 3. Prove that dn =< 1 for all...

I'm confused based on what I've been reading. Does short-range order for a crystal change when it is melted, or is onyl long range order affected by the state of matter an melting has little to no affect on the short range order of the crystal. Is that right or does the shrot range order change...

My teacher gave me a project that requires us to find the angle that "produces the maximum range for a trebuchet with a release speed of 50 m/s." My (Delta)h value is +46 and I have to calculate the range produced by 5 different angles, graph it, and find the best angle to a hundredth of a...

the turkish bow of the 15th and 16th centuries greatly outperformed western bows. the draw force F(x) of the turkish bow versus the bowstring displacement x (for x negative) is approximately represented by a quadrant of the ellipse (F(x)/Fmax)^2+((x+d)/d)^2=1 . Calculate the work done by the...

Op. amp tuned to "dynamic range"? You'll have to excuse me if this is a silly question, but I'm self taught in electrical engineering practices, and there are some simple things I've missed. Here is what I am trying to do(hypothetically): I have a sensor/ transducer that has a ratiometric...

"A projectile is fired with an initial velocity V_o such that it passes through two points both a distant h above the horizontal. Show that if the gun is adjusted for a maximum range the separation of the potins is?" my work is http://home.earthlink.net/~suburban-xrisis/projectile.pdf"...

The Range Of Half-lives Of Different Radioactive Elements Is From_______ A)hours To Years B)hours To Weeks C)days To Months D)seconds To Billions Of Years E)days To Weeks

Please can anybody help me on this two functions it confuse me because has two and thee variables. Find the Domain and Range of each of the following functions a)f(x,x)=\sqrt{\frac{x-y}{x+y}} b)f(x,y)=\[in{(x^2+y^2+z^2)}

I have y = ln(2x^3 + e) / 2 and I need to find the range for the function. So I proceed to find the inverse [ ( e^(2x) - e ) / 2 ] ^ (1/3) = y my memory is a little sketchy but don't I need to put the domain boundary value for the original into the inverse to find the range (apparently not...

Hello, I'm looking for the following data: in pure U-235, what is the distribution of ranges of fission products (under thermal neutron irradiation). I know that the distances involved are rather small, but I'm looking for their range. This must have been established somewhere, by...

diagram: http://img.photobucket.com/albums/v629/ussjt/math3.jpg A thin equilateral triangular block of the side length 1 unit has its face in the vertical xy-plane with vertex V at the origin. Under the influence of gravity, it will rotate about V until a side hits the x-axis floor (see...

Hello I am taking 1st year stats at university, and I have lab questions I am supposed to answer. I am VERY confused. My data set is: 53, 33, 25, 63,26, 64, 32, 21, 45, 64, 38 I calculated the mean:42.182 the sample variance:272.147 The range:43 The percentile rank of the data value 45...

A motorcycle daredevil is attempting to jump across as many buses as possible. The takeoff ramp makes an angle of 18.0 degrees above the horizontal, and the landing ramp is identical to the takeoff ramp. The buses are parked side by side, and each bus is 2.74m wide. The cyclist leaves the ramp...

If L(x) = (x1, x2, 0)^t and L(x) = (x1, x1, x1)^t What is the kernel and range?

Ok, so I've got this physics question on a review sheet for a test tomorrow...and I keep getting a bunch of random answers that don't make sense...see if you can help me... Someone kicks the football from ground level (0 meters) with an initial velocity of 32 meters/second, 34 degrees above...

My question is, derive an equation to find the maximum range of a projectile that's not on level ground. I am lost and i did attempt this, by making a diagram and subbing in what i thought i would need to use, but i still have not come up with the answer. please help

When iron, cobalt and nickel are placed in weak fields they assume a large magnetic polarization. I was wondering if this weak field needs to be either diagmagnetic or paramagnetic field. My guess is that it is paramagnetic but not sure which paramagnets could be used. 'Weak field' is used...

We know if the Earth is considered flat the maximum range is obtained when the missile is launched at an angle of 45 degrees. But what if we take into account the curvature of the earth? what is the maximum arc-length of the range? :confused: Thank you!

We know if the Earth is considered flat the maximum range is obtained when the missile is launched at an angle of 45 degrees. But what if we take into account the curvature of the earth? what is the maximum arc-length of the range?:confused: Thank you!

Q. A projectile is fired with an initial speed V_0 at an angle \beta to the horitontal. Show that it's range alnog a plane which it's self is inclined at an angle \alpha to the horitontal ( \beta > \alpha) is given by: R = \frac{(2{V_0}^2 cos \beta sin(\beta - \alpha )}{g {cos}^2\alpha}...

Hi all. I'm stuck on a physics problem obviously...So the original problem basically is a golfer is trying to put a ball 1.0m long or short of the cup. From uphill it is more difficult than downhill-explain why. Assume that the ball decelerates constantly at 2.0m/s^2 going downhill, and...

What is the Closest We Have to AI (within normal human "g" range)? Requesting info. please, thanks. Also, second question: I heard something about scientists mapping every human synapses and neurons in the brain and then somehow transforming these into artificial neural nets. How do they do...

I shoot a cannon from a cliff of height h , with an initial velocity v_0 and angle of elevation \theta . If h > 0 , what \theta will maximize the cannon's range (how far the cannonball lands from base of the cliff), assuming no air resistance? Ok... The cannonball's height at any moment...

given two eqs. Xcos30 + Ycos55 = 68.67 1.356 * (X sin 30 + Y sin55) = 7v^2 Determine the range of values of v(velocity).

(sorry if this is in the wrong forum) Does anyone know where a good laser range finder can be purchased, for a relatively small amount of money. It needs to have a range of 1m to 200m (preferably more), with high accuracy (couple centimeters). I've been looking for a while, and so far, I've...

hi, i have a little problem i m not able to check if an input character is in a specified range of characters. i.e is this char between A and Z let s say. I tried to use the ascII but it didn t work out; no syntax errors at compile time but the error occurs at run time. this is the code i...

i want to get a random range of numbers of a longger range of number, ex, longer range i=6,9,96,8,6,5,6,5,6,5,4,5,6,6,11,6,1,11,2,113,16 randome range is numbers random in taht range i m using c, u can also give me source code in vb if u can do it in vb thnks

Hello. Covalent bonding molicules, right, are usually in lower quantum energy states. e.g. for a typical dihydrogen mol at air temp, the 2 electrons are often in the first or second lowest quantum state. But, natch, the molicule can still exist with the electron at higher quantum states. In...

Hi ppl. May I ask how you obtain the range of convergence for the maclaurin expansion of ln(1-x) and taylor's series, maclaurin's in general? Thanks, Joe

A weird domain and range? anybody up for a challenge y=x^2-2x+1 / x^2-x-2 try it on the gfx calculator and check if this domain and range is right i wrote Domain ( -infinity, -1 ) union (-1,2) union ( 2, infinity) range (-infity, 0) union (-1 to infity) is there an easier way to...

can anyone help me find the natural domain and range of f(x) = 1 - log_3x *the whole equation is under a square root sign, its just a couldn't latex it

domain and range question! Hi, I have a quick domain and range question, I have placed my answer below the question. I'm having doubts that it is right! Can someone please help me verify it. Thanks in advance! _____ Let f(x)= x² + 2 and g(x) =√1-x²...

I'm a little confused about the difference between the half range Fourier series and the full range Fourier series. What is the difference between the two in an odd function like f(x)=x and an even function like f(x)=x^2 ? Maybe an example to clear things up. Thank you.

Hi, As we know, lasers have longitudinal modes, the separation between neighbouring modes (measured in frequency) is: \Delta \nu = \frac{c}{2L} and by using the fact that: \frac{\Delta \nu}{\nu} = \frac{\Delta \lambda}{\lambda} we obtain the separation between neightbouring modes...

im doing a lab tomorrow that i must plan soon. if we fire an elastic band, the length we stretch it will affect the range but how do i support my hypothesis that range is proportional to pull back length? do i use hookes law assuming that pull back length is the same as extention? any tips...

You are standing at the top of a cliff that has a stairstep configuration. There is a vertical drop of 6 m at your feet, then a horizontal shelf of 6 m, then another drop of 4m to the bottom of the canyon, which has a horizontal floor. You kick, a .72 kg rock,giving it an inital horizontal...