Sketch Definition and 179 Threads

The problem is: . Let f : R^2 → R be given by f(x,y)=y^2 +2x^2 −x^4. Sketch the contour diagram of f by drawing the contours f = −2, −1, 0, 1 , 1, 2. I have started with the f = -1 line and managed to get it into a form resembling a hyperbola: 1 = (x^2-1)^2/2 - y^2/2 Is this the right sort of...

Homework Statement sketch on the complex plane the region where the following two power series both converge 1) sigma from n=0 to infinity [(z-1)^n]/[n^2] 2) sigma from n=0 to infinity [((n!)^2)((z+4i)^n)]/[2n]! The Attempt at a Solution R=lim as n tends to infinity...

Homework Statement Sketch the graph of y = sinx(1-cosx) over [-2pi, 2pi] Homework Equations first derivative and second derivative The Attempt at a Solution y' = cosxsinx 0 = cosxsinx x = pi/2, 3pi/2, 0, pi, 2pi I know I have the sin values right (the answers say the same)...

Homework Statement Sketch the graphs of the following function showing vertical and horizontal asymptotes and relative extrema: f(x) = (x2-1)/(x2-4) Homework Equations Limits, zeroes, derivatives The Attempt at a Solution I know that I have the majority of the answers right, the...

Homework Statement The graph of f goes through the origin; f is increasing at an increasing rate on the interval (0,1) and at a decreasing rate on (6, Infinity); f is constant on the interval (2,4); f is decreasing at an increasing rate for all other positive values of x; f(1)=2, f(3)=1...

Homework Statement Sketch the curve defined by g(x) = x^{1/3}*(x+3)^{2/3}Homework Equations First Derivative Second DerivativeThe Attempt at a Solution I attempted to use the algorithm for curve sketching: 1) Find the intercepts 2) First Derivative; look for extrema and points where f'(x) DNE...

Homework Statement sketch the curve in the z-plane and sketch its image under w=z^2 |z-1|=1 Homework Equations z=|z|e^(iArgz) argw=2argz The Attempt at a Solution At first I simply sketched the solution for a circle centered at (1,0) in the z-plane and then mapped that to...

Homework Statement See figure attached for problem statement as well as my attempt. Homework Equations The Attempt at a Solution I'm not fully convinced I've done the sketch of the cosine series correctly or not, are there any mistakes? Also, when solving for, a_{n} I changed...

Homework Statement During an engine experiment of a plane, the plane stands horizontally, when one wheel is located on a special weighting apparatus. When the engine is active, the apparatus shows a pressure force of 8.5 [kN]; and when the engine is inactive, it shows pressure force of 4.5...

Homework Statement Sketch the graph of an invertible function f(x) that intersects its inverse in exactly three points. The Attempt at a Solution I don't know where to start... Can I pick any function to start with?

Homework Statement Sketch the waveforms of the harmonic components in the output and the resultant output voltage Homework Equations Vo= 0.98sin(1600*pi*t) - 0.1cos(3200*pi*t) + 0.1 The Attempt at a Solution I know that the 0.1 will be a straight line The amplitude of the sin wave...

Homework Statement Homework Equations Fundamental theorem of calculus. The Attempt at a Solution For the first problem, I'm completely lost. I've only worked with slant asymptotes for polynomials so finding the domain, range and intercepts is as far as I've gotten. I'm not too...

Homework Statement Sketch the graph of a function g(x) with a corresponding domain on (-5, infinity) whose first derivative is always positive and whose second derivative is always negative. Then come up with and algebraic expression to model your graph. Homework Equations The Attempt at a...

let x(t)= 1+t and y(t)= t/2 trace (x(t),y(t)) as t advances from 0 to 2. Im just unsure of how to trace it. Is it pretty much the same thing as tracing it from 0 to 2pi except I am leaving out the pi? So axis in term of t: positive x= 0 or 2 positive y= 1/2 negative x= 1 negative...

1. For the control system described by the transfer function H(s)=Y(s)/U(s)=10/(s^2+11s+10) Sketch the bode plot: amplitude and phase diagram. What is the bandwidth of the system? 2. General form of a second order system H(s)=wn^2/(s^2+2*zeta*wn*s+wn^2) Magnitude characteristic in...

Homework Statement Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. Then find the area of the region Homework Equations The Attempt at a Solution I got a...

Homework Statement Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. Then find the area of the region. Homework Equations The Attempt at a Solution My result gave me an...

Homework Statement Sketch the graph of each function. List the coordinates of where extrema or points of inflection occur. State where the function is increasing or decreasing, as well as where it is concave up or concave down. 9. f(x)=x3-12x Homework Equations The Attempt at a...

This is another question that is impossible for me to complete.i don't even know whereto start. PLLLease help me. Draw a sketch of a function with the following properties: a) The gradient is negative where -2 < x < 2 b) The gradient is positive where x < -2 and where x > 2 c) The...

Homework Statement 2. At time t = 0, the displacement of an infinitely long string is: y(x, t) = sin(pix/a) for −a ≤ x ≤ a The string is initially at rest. Using d’Alembert’s solution for speed c, sketch the displacement of the string at t = 0, t = a/2c, and t = a/c. Homework...

Homework Statement Let C be the curve whose equation is given by: 4x^2+18y-20=9y^2+16x+9 Identify and sketch the curve C and if possible give its center, directrix, foci, vertices, and endpoints on the minor axis. Homework Equations I have learned parabola, hyperbola and elispes (these are...

Homework Statement Sketch y = cos-1(2x) and y = sin-1(3x) Homework Equations The Attempt at a Solution This is my attempt cos-1(2x) = y, which means cos y = 2x produce a table with y from (-pi/2 to pi/2) What I want to confirm is the 2x. I need do 1/2 x instead of 2x when...

Homework Statement Let S be the union of the two smooth surfaces S1 and S2, where S1={(x,y,z) l x^2+y^2=1, 0\leqz\leq3-sqrt(3)} and S2={(x,y,z) l x^2+y^2+(z-3)^2=4, z\geq3-sqrt(3)}. Use symbolic algebra software to sketch the surface S. Homework Equations The Attempt at a Solution...

Homework Statement Sketch 2 diagrams 1 showing Ex against x and 1 showing Fx against x Homework Equations The Attempt at a Solution I have drawn a graph showing potential difference against x and have been asked to produce a sketch showing Ex and Fx relating to this graph but I am...

How to sketch y=(-3x^2 +1)/(x^2)

How do I sketch the graph y= (2x+5)/(x-1)

Homework Statement Sketch the surface x+y2+z2+1=0 Homework Equations The Attempt at a Solution I'm not to sure how to proceed with this. My initial idea was to re-arrange for x such that x=-1-y2+z2=-1-r2 thus the equation for the surface becomes y2+z2=r2 I'm not sure what...

i know that the way to solve this is by evaluating the integral from a to b of the first function minus the second one but how would i solve for x to find out what the limits of integration should be? if you set them equal to each other you get 6|x| = x^2 - 7 but I am not exactly sure what...

Homework Statement The function f with domain 0\leqx\leq180 is defined by f(x)=2sinx/Sketch and find the range of f. Homework Equations The Attempt at a Solution well..i haven't got a clue, if i try to get value for 2sin(0) gives me zero and for 2sin(180) gives me the same answer...

Homework Statement Sketch graph of f(x)= (x^2)/((x-2)^2). I have retrieved the first derivative, found the critical points, and also have the vertical asymptote. I seem to be having trouble trying to find the inflection points... I can't seem to find a nicely factored f''(x). Homework...

Sketch the function:? Hello everyone, I was asked the following question: On the same axes, sketch the functions: f(x) = 10+3x-x^2 g(x) = 3x^2-6x-5 Calculate the coordinates of the two points where the two lines cross. How far apart are the two points: I don't even know how to start...

Homework Statement determine if a) f(z) = e^z / (z^2 + 4) b) f(z) = conj(z) / |z|^2 c) f(z) = sum from 0 to inf. [ (e^z / 3^n) * (2z - 4)^n ] is analytic and sketch the domain where it is analytic. Homework Equations The Attempt at a Solution a) i don't know how to separate the...

Homework Statement Identify and sketch the region in the complex plane satisfying | \frac{2 z - 1}{z + i} | \geq 1 Homework Equations The Attempt at a Solution

Homework Statement Take the Fourier Transform of f(x)=rect(x/2)*comb(x) where rect is the rectangle function and comb is the Dirac comb. Sketch the results. Homework Equations The FT of a convolution is the product of the individual FTs. The Attempt at a Solution Taking the FT is...

. Homework Statement A ski resort consists of a few chair lifts and several interconnected runs on the side of the mountain with a lodge at the bottem. The lifts are analogous to the batteries and the runs are analogous to resistors. a) sketch how two runs can be in series b) sketch how two...

please help me ! these days i was doing my lab homework , but i am confused one question , 1. Consider a candy jar, initially with 1000 candies. You walk past it once each hour. Since you don’t want anyone to notice that you’re taking candy, each time you take 10% of the candies remaining...

Suppose that the system of figure (a) has the input x(t) given in Figure (b). The impulse response is the unit step function h(t) = u(t). Find and sketch the system output y(t). http://qaboard.cramster.com/answer-board/image/a4d35f0d5eef154398161f9124b69a59.jpg...

http://qaboard.cramster.com/Answer-Board/Image/cramster-equation-20081241616516336400421111250005486.gif Homework Statement 1. Sketch the region of integration 2. Rewrite the integral in the order: dydxdz 3. Evaluate the integral (using either order)The attempt at a solution Attached...

Homework Statement I have to find the volume of the region bounded by a cone and cylinder. (double integral style!) I usually start off with a sketch, but I can't seem to figure out what this one quadratic surface looks like... It's a cylinder (in 3-dimensional plane): x2+y2=2ay The...

Hi, I am a computer science student in my final year, and preparing myself for my graduation project (GP). Please check this video: http://www.youtube.com/watch?v=d7eGypGOlOc" This program is from MIT and it is called "A Shrewd Sketch Interpretation and Simulation Tool". I am planning...

Homework Statement Please look at the first attachment, I need to solve question #15 Homework Equations See the second attachment The Attempt at a Solution Well I got Ax = -75cm, Ay = 129.9cm but I just can't solve the problem because I got stuck at solving for Bx and By...

Homework Statement Consider the rectangle S=[0,1]x[0,\pi/2] Sketch the region R=T(S) in xy-space.Homework Equations T(r,\theta) = (rcos\theta,rsin\theta) The Attempt at a Solution how is the given a rectangle in polar coordinates? it seems to me to be a quarter circle

Hi guys, I just started a course which is called quantum nanodevices and i need help in one of the exercises, ex. calculate, using periodic boundary conditions for free particles in a box, the quantity Q(ε)=(1/V) Σp δ(ε- εp) in the large system limit, 1)in three dimensions,2)in two...

What an amazing computer assisted blackboard.

Suppose that it was possible to construct gears smaller than ones of modern ten speed bicycles(nano gears) and suppose your chain or belt could turn them and withstand the friction. First gear of course would be the same as a modern ten speed in order to get it moving. If the last gear's radius...

Let f(t)=( (cos t)^3, (sin t)^3 ) Let S = {f(t) | t E R} Draw a sketch of S. ========================== Now I know that S is x^(2/3) + y(2/3) = 1 What is the fastest way to draw a really rough sketch of this? (bascially I need the shape) I am very lost in situations like this. I was never...

three small, negatively charged spheres are located at the vertices of an equilateral triangle.The magnitudes of the charges are equal. Sketch the electical field in the region around this charge distribution, including the space inside the triangle. ok..so all i know is that density of field...

I am pulling my cousin who has a mass of 10kg, geets all bundled up and sits in the sled, which has a mass of 15kg. He yells ready,set,go and I start to pull him across the snow. I am pulling the sled at an angle of 50degrees with respect to the horizontal. Assume that the coefficient of static...

so, for the very specific cases of linear systems i can identify what shape it will be after determining the eigenvalues, but i really do not know how to go about sketching the phase planes. can someone give me a method?

Homework Statement sketch f(x)=x^3-2x^2+5 Homework Equations none The Attempt at a Solution i tried to uses synthetic division to bring it down to a lower power, but i can't remember what to do because i don't know any of the factors...