Range Definition and 979 Threads

I need to know the command to how to plot a piecewise function graph, All the ones I have found successfully plot but they "ranges" to go with the domain value. The Two I have to graph don't have ranges or just have x(not equal to)= 0 or x=0 (Graphs are) attached thanks

Homework Statement (1) Real variables x and y are related by the equation 3ln(y +4) = 2ln(x +2) − 2ln(x +9)+3ln(x^2 − 1). Determine the range of values of x and y for which the expressions on each side of this equation are defined. Find y explicitly as a function of x, that is...

I have read somewhere: Any decimal number in the range 0 to 2^(n-1) can be represented in binary form as an n-bit number. I suspect it's wrong. Shouldn't it rather be 0 to [(2^n)-1]? Please guide me. Thanks.

Homework Statement The function f(x) is defined on the interval 0<x<L by f(x)=x. It can be represented by the Fourier cosine series f(x) = a_0 + sum a_n cos(n*pi*x / L) Find its Fourier coefficients a_0 and a_n. Homework Equations Multiply both sides by cos(n*pi*x / L) and...

Homework Statement I'm attaching a drawing depicting the problem, hopefully the mods will approve it soon. In words: A ball is dropped from some height h_0 and hits a point on a wedge at some angle \theta at some height up the wedge h^\prime. Optimize h^\prime and \theta for which the range is...

Homework Statement N/A Homework Equations N/A The Attempt at a Solution I guess I will start here. My question does not necessarily involve equations. In the Calculus book I am currently studying from, I am reviewing some pre-calculus and I came across a section that mentioned...

Hello everyone, I want to write in mathcad some critical temperatures and reduced temperatures using a range index (like in the document I've attached) and i can't figure how to do it (i'm new in mathcad) Is it possible to write those in this way? Thank you and sorry if i put the question...

How do you specify, in mathematical notation, that a condition is true for all cases? For example, I want to say that t=5 for every value of n. Basically like \lim_{n\to\infty}{t=5}, but instead for every value of n, not just as n approaches infinity. Also, how to specify the range of n...

Homework Statement Ultimately, I need to calculate the range of projectile fired from my controlled air gun. My meter gives me pressure in psi which i keep at constant 40 psi, allows me measure (theta) 45 degrees, volume 2.48 in^3Homework Equations R=(v^2/g)*sin(2(theta)); x(t)=v cos(theta)t...

For these LFR's http://www.active-robots.com/products/sensors/hokuyo.shtml Where exactly is the laser being shot from and recieved? The circular top? or is there something we cannot see under neath/behind? Thanks

Homework Statement My rocket was angled at 79 degrees from the vertical, I calculated its maximum vertical height to be 60 meters, The total flight time was 7 seconds Experimental horiz distance is 40 yds (should be 36.6 meters) Homework Equations This is part of my problem, I am...

Hi I'm not a math student. I can understand general basic math. While solving many problems we take relations "a directly proportional to b" for granted and don't care to ponder what if it doesn't always hold all the way. Let me try to explain it a bit what I'm trying. If 'a' is...

Hi gurus I don’t know if this is the right place to post this but if not maybe someone can point me to the right direction as I am lost and I need help. I would like to know if its possible to calculate the range of visibility that a driver can have looking forward if there is an obstacle...

Homework Statement a soccer player kicks a stationary ball at a speed of 20m/s at an angle of 15\circ to the horizontal. Homework Equations i think it would be Rmax=Vo2/g ? The Attempt at a Solution 19.32 2/9.8=38.09m ?? I'm really lost can someone help me please!

Homework Statement "A 1 fs pulse of laser light would be 0.3 um long. What is the range of wavelengths in a 0.3 um long pulse of (approximately) 600nm laser light?" Homework Equations (delta omega)(delta t) >= 1/2 c = (lambda)(frequency) The Attempt at a Solution I replaced (delta...

I have the equation G[xy\textup{ln}(z+R)+xz\textup{ln}(y+R)+yz\textup{ln}(x+R)]|^{x_2-x_0}_{x_1-x_0}|^{y_2-y_0}_{y_1-y_0}|^{z_2-z_0}_{z_1-z_0} My question is what exactly is the operation implied by having multiple ranges (x_2-x_0 to x_1-x_0, y_2-y_0 to y_1-y_0, and z_2-z_0 to z_1-z_0)...

Homework Statement Consider the following equation in y: Ay2 – 3y + 4 = 0. What is the range of possible values for A such that the two roots are both real? Homework Equations The Attempt at a Solution Not sure how to approach this problem.

1. The problem statement: A set of measurements of a parameter x has a normal distribution with mean of 50 and standard deviation of 1. If there are a very large number of measurements, approximately what percentage of measurements would you expect to be in the range 48 < x < 50...

suppose that vectors in R3 are denoted by 1*3 matrices, and define T:R4 to R3 by T9x,y,z,t)=(x-y+z+t,2x-2y+3z+4t,3x-3y+4z+5t).Find basis of kernel and range.

Homework Statement Hello. I'm doing problems out of Kleppner and Kolenkow and for some reason I'm stuck at one of them. A boy stands A boy stands at the peak of a hill which slopes downward uniformly at angle \phi. At what angle \theta from the horizontal should he throw a rock so that it has...

1) Find a continuous function f: (0,1)->R with f[(0,1)]=R I couldn't think of any function except tangent, but its domain is NOT (0,1) though? Any suggestions? 2) Find a continuous function f: (0,1)->R with f[(0,1)]=[0,1] I couldn't think of any function that I know. Any suggestions? 3) Find a...

Can anyone guve any idea of a good model telescope to get? I've had previous telescopees, but I am now lookign for something that is as good as you can get from the range of £100-£250. Thanks Guys :-)

Li6(n,a)H3 , Q = 4.78 Mev. The H3 and He4 products are oppositely directed, away from the site of the compound nucleus, and hence they form one straight track. How to calculate the mean range of the alpha particle if the atomic stopping power of helium realtive to air is given as 0.36?

Homework Statement a projectile is launched from level ground at some angle to the horinzontal. Which of the following must be zero for a projectile to achieve maximum range? vx, vy, delta dx, delta dy or a Homework Equations The Attempt at a Solution i thought to achieve maximum...

I have troubles arriving at the solution to this question: Consider the transformation T: P3-->P3 given by: T(f)=(1-x^2)f '' - 2xf ' Determine the bases for its range and kernel and nullity and rank Can anyone explain how should i go about finding the bases for its kernel and range?? i get 0...

Homework Statement Obtain the Fourier series representing the function F(t)=0 if -2\pi/w<t<0 or F(t)=sin(wt) if 0<t<2\pi/w. Homework Equations We have, of course, the standard equations for the coefficients of a Fourier expansion...

Homework Statement According to the range equation (see below), what angle would give teh maximum range for a given initial velocity? Mathematically explain your hypothesis. Homework Equations The equation given in our book for range: R=(V_{o}cos\Theta)*(2V_{o}sin\Theta)/g...

Homework Statement Find the domain and the range f(x,y)=2x2+3x2+1 Homework Equations non The Attempt at a Solution ... i said that x,y are all real #'s and f(x,y)>=1 or z>=1 is there anything wrong with what i has attempted at? if do could you explain... thanks in advance

Homework Statement Homework Equations TO find the kth percentile =nk/100 (where k=kth percentile and n is the number of observations Need n? Given: n(50)/100 = 9.3 n=18.6 Can n not be an integer? Then I planned on plugging the n into the formula to solve for the 75th percentile...

Homework Statement A kicker is attempting a field goal from 50 m from the goal posts, which are 3.44 m high. He can kick the ball with initial speeds of 25 m/s. Ignoring air resistance, within what angular range must he kick the ball to score? Homework Equations Pf = Pi + Fnet*t And any...

Homework Statement If a ball is thrown horizontally in a vertical plane with a clockwise spin, the range will be shortened. Is it true? Homework Equations The Attempt at a Solution I guess it is false in accordance with Magnus effect.

Homework Statement a 78g basketball is launched at 40.4 degrees at at 14.2m, ball is released at same height as basket. what speed must the player give the ball. Homework Equations deltax = 2(Vo^2)sin(2theta) The Attempt at a Solution 14.2 = 2Vo^2 * (.9871360) / 9.8 69.58 =...

Hi, how can I determine the tangental acceleration of a circle needed to produce a given centripetal acceleration from a range of radii? For example, I would like to produce 9.81 m/s/s centripetal acceleration with a range of radii from 5km to 100km? All I really need is to figure out the...

Hello, I have taken 5 samples and found that my average concentration is 5 mg, with a range of .003 mg in either direction. I would like to calculate the variance with only this information. Is this possible? I am used to calculating the variance from the standard deviation, but I don't...

When using the method of image charges to solve a problem in electrostatics, how do we determine the volume of space in which our solution is valid? And how do we find the solution outside this volume? To be more specific, let's consider two examples. The first is the classic point charge above...

Homework Statement A ball is thrown vertically up from y=0 at time t=0 with vinitial=v0j. Show that the time it takes for the ball to reach the ground is twice the time it takes to reach its maximum height. Homework Equations h=(vi2sinthetai)/2g R=(vi2sin2thetai)/g The Attempt at...

A hydrogen atom exposed to a continuum of frequencies will only absorb those frequencies that correspond to allowed transitions of the electron. As I understand it, these absorption lines are very thin. Frequencies only slightly off are not absorbed at all. How difficult would it be to make...

Homework Statement A projectile is launched from the top of some function (pick one other than a line) For a given speed, find the launch angle to maximize the rangeHomework Equations projectile parabola equation (I haven't figured out latex yet t_t ) y = x*tan(theta) - (g/2)*(x/(...

When i did a business statistics course some time ago, I was able to calculate confidence intervals, but i didn't understand ‘why’ they were calculated in the way they were. I considered that the size of a confidence interval is based on the number of observations and ‘the range of possible...

Homework Statement If the range of the projectile is 4.14 m, the time-of-flight is T = 0.854 s, and air resistance is negligible, determine the following. (Assume that the acceleration due to gravity has a magnitude of g = 9.80 m/s2.) (a) What is the launch angle of the projectile? (b) What...

Could someone please explain to me what the range and domain of a function is and how to find them? I just don't understand what they mean Thank You

f(x) = \frac{1 - x}{\sqrt{5 + 7x - x^{2}}} I know that the range of that function is (-\infty, 0) U (0, +\infty) But how do I get it? I'm having difficulties in isolating x. Can you explain it to me? Thank you. :)

1 Calculate the expected value of variable x (or E(x)) (number of trials * probability of success) 2 Calculate the variance (expected value * probability of a failure) Take everything to the right of the decimal in the variance off. Then the range of future values is E(x) plus/minus the variance.

Homework Statement The function f is defined by f(x) = sqrt(7-3x) , x<=1 = 3x^2-4x+3 , x>1 (1) Find the range of f (2) if g(x)=sqrt(7-3x) , h(x)=3x^2-4x+3 in the case where f is continuous , find the composite function hg and state its domain and range. (3) Determine the...

I've been around and around on the net, and had two neuro-physiologists repeatedly dodge the question, so I open it to the wider population... When one speaks of learning one uses the phrase "adjusting synaptic weights", meaning (I presume) changing the strength of a connection between two...

Homework Statement Ok so I was trying to find the range of the equation below, commen sense and simply looking at it yields that the range is set of all reals... I however used calculus to find the critical points, I've always been told that there are none when the range is the set of all...

hi, I am plotting a 1D graph in root (TH1F pointer). currently the y-axis gives the number of entries in each bin along my x-axis. how do i change it so that it is actually the number of entries in each bin divided by the total number of entries. thanks

Hi All, I have a question regarding finding the range of the projectile given the projectile crosses points P1(a,b) and P2(b,a). I know any point on the projectile curve satisfies following equation: y = x.tan \{theta} (1- (range/x)) therefore, the only thing remains to be found out is...

Homework Statement Given f:A→B and g:B→C, let h=g(f(a)) If h is injective, then g is injective. Give a counter example. Homework Equations Injection: Let f:A→B For all f(x1)=f(x2) implies x1=x2 The Attempt at a Solution f(a)=\sqrt{a} from [0, infinity]→[0,infinity]...

Homework Statement How do I find the bases for both the kernel and range of this linear transformation? Let T: R4 ----> R4 be the linear transformation that takes [1101] and [1011] to [2304] and takes [1110] and [0111] to [3120] a. Find the bases for both the kernel and the range of...