Homework Statement
Find the point with coordinates of the form (2a, a) that is in the third quadrant and is a distance 5 from P(1, 3)
Homework Equations
\begin{distance}
d(P_1, P_2) = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\end{distance}
The Attempt at a Solution
To be quite...
How can we graph this inequality - |y|+1/2>=e-|x| ?
I drew the function(actually a combination of functions) for equality. It would be symmetric in all quadrants and intersect the axes at +ln2 and -ln2(x-axis) and 1/2 and -1/2(y-axis).However since the various graphs are mixed up it is hard...
1. For graph like -3cos(1/2(theta- 3π/2) + 2 what's the best method for finding the relevant intercepts and coordinates of turning points and such? domain being equal to [-π, π]. Also if it were different domain would that only affect the end points in my calculation?
2. For...
How would you graph the function:
(x2-9)/(x2-4)
I am having a lot of trouble finding the critical and hypercritical numbers without the aid of a graphing utility.
Thank you very much!
Homework Statement
plot x(t) = 10cos((pi*t)-(pi/4))
Homework Equations
pi/4 is the shift to the right
10 is the amplitude of the graph
pi is the radian frequency
The Attempt at a Solution
so i got the amplitude and shift to the right by pi/4 part but as for the radian...
In heavy rush-hour traffic you drive in a straight line at 12 for 1.5 minutes, then you have to stop for 3.5 minutes, and finally you drive at 15 for another 2.5 minutes.
How would u graph this
Homework Statement
A triangular wave pulse on a taut string travels in the positive x-direction with speed v. The tension in the string is F, and the linear mass density of the string is u. At t = 0, the shape of the pulse is given by:
y(x,0) = 0 if x < -L
h(L + x)/L...
What's the process that needs to take place to be able to graph the following equation (not-using a graphing calculator):
x2 + 12xy + 36y2 + 2x - 3y - 9 = 0
I know to use the B2 - 4AC formula to identify the equation as being parabolic, though I don't understand the formula...
Looking at...
Homework Statement
Graph I(1) and I(2) vs. time. See attachment for illustration.
Homework Equations
V = IR
Back EMF = -L * dI/dt
The Attempt at a Solution
I realize that an inductor is essentially the opposite of a capacitor when it comes to current and voltage: that is, the...
Homework Statement
Having some trouble graphing this
y = 3 - x for x less then or equal to 1
y = 2x for x greater than one
how do I indicate that for the first part (1, 2) there would be a closed point at that cordinate but for the second part an open point at those same exact...
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...
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...
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...
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...
how would I graph this? I'm getting killed by the boundaries on these triple integrals and trying to visualize these graphs without a calculator or any sort of help. for example, how would you get the boundaries from this problem with a graphing software such as maple?
::::problem...
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 tried graphing the following equation on Mathematica online:
http://www.wolframalpha.com/input/?i=%28z*z*%29%2B%281%2Bi%29z%2B%28%281-i%29z*%29%2B1%3D0
It gives complex solutions -2+i and i.
I don't understand why it lists these as the only complex solutions (why is that?). Yet it...
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...