Graphing Definition and 483 Threads

Homework Statement Use a graphing utility to graph the conic. Determine the angle through which the axis are rotated. x^2+xy+y^2=10 Homework Equations \cot2\theta=\frac{A-C}{B} x=x'\cos\theta-y'\sin\theta y=x'\sin\theta+y'\cos\theta The Attempt at a Solution I can find the angle of rotation...

If someone could supply the code to plot this graph in Mathematica would be awesome. Would also be best if it checked the y's at units of t {0,1,2,3...,inf} y >= 340 Plot[100 (t) - 340 (t/2), {t, 0, 20}] y< 340 Plot[100 (t) - 115 (t/2) , {t, 0, 20}]

Homework Statement Sketch the graph of the function y=(x-3)^2 by transforming the graph of an appropriate function of the form y=x^n Homework Equations y=(x-3)^2, y=x^n The Attempt at a Solution Precisely speaking, I am just totally confused with what the question is asking. i...

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Hi all, I have recently begun to try and graph most of the functions I see by hand without resorting to the use of my graphing calculator. However, I am having a problem trying to begin to graph f(x) = \sqrt{x^{2} + 1}. The problem is all I really know is that f(0) = 1. Trying to solve for...

Is it possible to graph a vertical line such as X=2 on a graphing calculator? How would one graph a vertical line on the graphing calculator?

Hi folks, I'm trying to graph something in Mathematica, and honestly don't know where to start. Imagine you have a rectangle in the x,z plane of a 3D space. Now, twist one end of the rectange so it's parallel to the y axis. The opposite end remains parallel to the x axis. Between the two...

A baseball is thrown directly upward at time t=0 and is caught again at time t=5\;\rm s. Assume that air resistance is so small that it can be ignored and that the zero point of gravitational potential energy is located at the position at which the ball leaves the thrower's hand. I need to...

Ok so, This summer I will be taking a Pre-calc/trig course intensive, to get ready to take calculus in the fall, to start up my track for physics. I got a Pre Calculus Workbook For Dummies and I have to say so far I'm not too pleased. I have already found a bunch of typos, and when there...

Homework Statement I've been given a Heat transfer problem, which I must solve in Matlab. The code should output the results and a graph of the temperature variation within the wall. Also the code needs to be able to run and output these results without any further user...

I am trying to graph the frequency spectrum of a signal over time. To do this, for each frequency I use a filter defined by the following equation: y_n = Ae^{i\omega_0}y_{n-1} + x_n This has a frequency response of \frac 1...

I'm currently taking a high-school pre-calculus class and next year I'm going to be taking AP Calculus and Physics I. I plan to major in Physics in college and I'm looking for a calculator that will get me through all of that. I need one that's approved for the SAT, ACT, AP, and is powerful...

Im trying to check my answers to a problem, and in the past I've used a 3d grapher to graph functions like f(x,y) = whatever. but now i need to find a tangent plane to a surface at a point. the surface is: x2y+y2z-z2x=1but i don't know how to go about graphing something expressed that...

Hey guys what's up? I am new to this forum, so I am sorry if I posted in the wrong area.. Anyways, I have a question on Parabolas. I know how to find the Vertex, Axis of Symmetry, X,Y Int. and so on, but I am having trouble graphing it. My teacher said I need to find three good points to...

Homework Statement For problems 1 and 2 determine if the quadratic opens up or down. Find the vertex. Find any intercepts and use these things to graph the quadratic equation. Homework Equations 1. y=-3x^2+12x-9 2. y=2x^2+3x+2 The Attempt at a Solution For number 1: ok well...

The question I'm stuck on is this: Let f(x,y) = (x+1)^2 + y^2 I'm asked to find the partial derivatives and then evaluate them at (1,2). From there, find L(x,y), the linear approximation to f(x,y) at (1,2). That part I'm ok with. I got the following: f_x(x,y) = 2(x+1) f_y(x,y) = 2y...

If an object is in freefall (or in my case traveling down a hill without friction) then what function could you use to calculate the kinetic energy gain over time? I have attempted to use equations of motion and substitute them into the kinetic energy equation: KE = 1/2 mv^2 KE = 1/2...

Homework Statement I am in College Algebra. We are going over Graphing Techniques. I'm pretty sure I understand it, but my teacher is confusing me (and barely speaks English, so it's tough asking questions). Anyways, the problem given is . . . f(x) = (x-1)3 +2 and we are supposed to...

I'm trying to make a bar graph from data which were taken at irregular intervals over 100m. I want the x-axis to be scaled instead of showing each data point one after another. (i.e. I'm coming out with 1-4-5 when I want 1-----4-5). I hope this makes sense - I'm not sure of the proper...

hi, can someone please help me with this situation. i have this object. and i have drawn an oval, the horizontal, and vertical line. y=145 x=203 when degree = 0 how would i draw the vertial/horizontal line how if it is 45 degree different?

Homework Statement Graph the function f(x)= (x-1)^3(x+1)^2(x+3) and show any x and y intercepts I don't understand how to determine the y values to correctly draw the graph. Help? Homework Equations The Attempt at a Solution x=1 is a zero 3 times x=-1 is a zero 2 times x=-3 is...

Hello, I have come across this problem in my studies where I need to try to come up with a graph of a function involving two complex numbers. I have been trying to figure this out for a while now, but I am not sure how to do it. Is there any way to do this type of thing by hand or in Maple...

At the end of a problem (I'm sure I did all the math correctly, that's not an issue) I'm supposed to graph the corresponding resultant vector. However, along with the magnitude of the vector, the angles given are in component form: θx, θy, θz. I've never encountered this before, and although it...

Homework Statement http://img64.imageshack.us/img64/5430/80433637.jpg Homework Equations The Attempt at a Solution for a, would it be local.max: x=7.7 and local.min: x=4.8 ? and for b, abs.max: x=11 and abs.min: x=2 ? im not sure if i did it right but looks like this isn't...

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So I have a project due tomorrow and I really need to use a caculator and Mine won't work right. When insert -1x/(x<o)/(x>-1) It saids its not an algebraic expression how do I fix that. I try it with an ti 84 and it worked.

Homework Statement I need to find the relationship between object-lens distance and image-lens distance for a lense(converging) but cannot graph the relationship in a way that the focal length is the slope for the graph Homework Equations 1/u + 1/v = 1/f where u= object lense distance...

As you know to graph a complex function we need four dimensional system,but i encountered with some graphs of complex functions on polar coordinate systems which called "colour domain". Can somebody explain me what is the colour domain method and how to graph a complex function on a polar...

Hi everyone. I am familiar with the graphing of y² graph which is essentially sqrt of the graph then reflected in the x-axis. However, I am confused at the points where the y= graph cuts the x-axis. According to differentiation, the gradient of the sqrt y graph should have a sqrt y at the...

Graphing Implicit Function Homework Statement Graph (x^2+Y^2)^2=4xy A)Find Y' B)Find all points that have vertical tangent lines. C)Find all points that have horizontal tangent lines. The Attempt at a Solution I feel like I'm going nuts on this problem, y' is...

Homework Statement I'm in a first-year analysis course, and this question was given by my prof. as practice for her midterm test. "Sketch the graph of the function \begin{equation*} f(x) = \text{sin} 2x + \sqrt{3} \text{cos} 2x \end{equation*} Determine the amplitude, the frequency and...

Homework Statement This is the last of 10 calculus problems I have to do this week (besides the one I have half finished) 7/8 so far :). This problem asks if the function is continuous and differential. I don't know how to graph this though. Can somebody help explain, I only need to know how...

Homework Statement Graph the parametric equation. t is greater than or equal to zero and t is less than or equal to 2 pi. x=sint y=cost Homework Equations None The Attempt at a Solution Assuming that I don't have a calculator, how would I graph this? I know that...

A model rocket is launched with an upward acceleration, after t seconds it runs out of fuel at x height. Sketch the a vs. t, v vs. t, and position vs. t graphs for the rocket from the time of launch until the moment it reaches max height. -I know that after the rocket runs out of fuel it will...

Homework Statement A basketball is thrown into the air, and it's height is determined by h = 3/4t(20-t) where t = time. Homework Equations What is the greatest height the ball reaches The Attempt at a Solution Ok so i tried to graph this out but stuffed up, a bit hard to show...

The function is.. f(x) = 2x-2 if x<1 x^2 if 1 <= x <= 2 7-x if x>2 I made a table of values and graphed the points. The problem is my prof said something about not all of the points being connected by straight lines, some being connected by curves. I was wondering why...

I am trying to graph: r²= sinθ in Polar mode.

Homework Statement How does the slope and y-intercept change if you reverse the x and y-axis of a linear graph. Will the graph still be linear? The original y=mx+b format followed the physics equation: V^2 = 2a(d) + Vi^2 Therefore, when y was "V^2" while x was "d", the y-intercept was Vi^2...

Homework Statement Graph the following in the complex plane {zϵC: (6+i)z + (6-i)zbar + 5 = 0} Homework Equations z=x+iy zbar=x-iy The Attempt at a Solution Substituting the equations gives 2(6x-y) + 5 = 0 => y = 6x + (5/2) But that's a line in R^2. The imaginary parts...

Homework Statement If F=Kx^n, where K>0 and n>1, sketch the graphs of F vs. x, F vs. x^n, and logF vs. logx. What information is obtained from each graph? Be specific. Homework Equations n/a The Attempt at a Solution No idea where to start with this one, as it's stumping me...

Hi, I am trying to graph (x+(1/√(1+cos(x)²))) in mathematica, and i used Plot[x + (1/(sqrt (1 + cos (x)^2))), {x, 0, 9}] but I am not getting an output graph. Any ideas?! Plot[x + 1/Sqrt[1 + Cos x^2], {x, 0, 9}, PlotRange -> {-10, 10}] I found few errors, and above is what I got, it's a...

Well, i felt ambitious and signed up for Honors Precalculus. I think i will be fine considering i love math and physics, but i need a good graphing calculator. Around $100-150 if possible. And it would be nice if it had normal physics and math constants in it (since i am also taking physics next...

Okay, I need to graph the following set in the complex plane: M={z\inC:[(1<|z-i|\leq2) and (z\neq2+i)] or [z = 1 + \pii]} I got the last two constraints, but the first one is what's giving me trouble. is z-i just x+yi that is (1,1) on the complex plane lowered by 1? Thanks

Homework Statement Ships measure the distance to the ocean bottom with sonar. A pulse of sound waves is aimed at the ocean bottom, then sensitive microphones listen for the echo. The graph shows the delay time as a function of the ship's position as it crosses 60 km of ocean. Draw a...

Hi, Was wondering if someone could help me out with this simple graphing problem. Its a mass x acceleration graph. I have a constant force but an increasing mass e.g When plotting this graph I end up with a negative curve, as the mass increases, the acceleration decreases. I need to...

Homework Statement Y1=(x3+3x2-4)/(x2)Homework Equations Slant Asymptote at y=x+3. (X-1) and (X+2) appear to be intercepts in the back of the book. How do I factor the numerator to get that?The Attempt at a Solution I know this is simple and there is a method to find the zeros of the numerator...

Background info for technical question: I just started a summer Calculus III course and the introductory topic is graphing in 3-space (just a warning I tend to over think everything). Our assignment was to visualize the graph of [SIZE="4"] Z = X^{2} + y^{2} I plotted points in a table from...

Hello,the <Diamond> + F1 menu allows me to plot only Y= graphs. I just want to ask if how do I graph in terms of y? is there anyway or you need to really graph it in terms of x? thank you very much...

Graphing potential & kinetic energy of an oscillating particle! 1. A particle oscillates back and forth in a frictionless bowl whose height is given by h(x) = 0.22x2 where h and x are meters. (a) Show graphically how the potential and kinetic energies of the particle vary with x. 2. I...

1. A particle oscillates back and forth in a frictionless bowl whose height is given by h(x) = 0.22x2 where h and x are meters. (a) Show graphically how the potential and kinetic energies of the particle vary with x. 2. I completed the (b) and (c) part of the problem, but I'm not sure as...