Estimate Definition and 350 Threads

It asks "use remainder estimate for integral test" to find series accurate to 3 dec? Homework Statement It says "Use the Remainder Estimate for the Integral Test to find the sum of the following series to three decimal places of accuracy." \sum^{\infty}_{n=1} \frac{1}{n^{3}} Homework...

Two speakers A and B are separated by 1 meter, the point P is 4 m away from speaker B. If P is a person for what frequency does he hear that the intensity have a minimum?. (The listener hear that the sound intensity reduces and increases).I don't know the distance from P to B. (They form a...

Homework Statement An average family of four uses roughly 1600 liters of water per day. How much depth would a lake lose per year if it uniformly covered an area of 90 square kilometers and supplied a local town with a population of 30000 people? Consider only population uses, and neglect...

Homework Statement A violent rainstorm dumps 1.7 cm of rain on a city 4.0 km wide and 7.0 km long in a 2.0 hr period. How many metric tons of water fell on the city? Homework Equations 1 ton = 10^3 kg 1 cm^3 of water has a mass of 1 g = 10^-3 kg. Density of water is 1.0 g/cm^3 The...

I have a physics exam soon and i would just like to know, which method would be best for me to use to estimate the area under a curve to estimate work done when the force-extension graph is not linear. I know you could draw bars to estimate the area of the curve and you could draw a line so...

Homework Statement The isomerization of 1-butene and trans-2-butene occurs as shown in the table at selected temperatures. Estimate the average values of ΔH and ΔS in this temperature range. T/Kelvins....K 883.... 1.10 826.... 1.20 779.... 1.36 733.... 1.49 702.....1.63 686.....1.72 The...

This is a short question from an old final exam I'm studying from. If you're given the graph of the dispersion curves for some material (I attached an example, but pretend the axes have numerical values on them), how would I go about estimating the Debye frequency? My initial thought was just...

Homework Statement In the year 2010 a profit of book in x dollars follows the distribution which density function is f(x) = cx-3. There were 96 books in that year which profit exceeded 105 $. Estimate how many books profit over 2*105 ? Homework Equations For cumulative...

Homework Statement In Bohr model of the hydrogen atom, the max. kinetic energy that an electron can have is around 13.6 eV, as it would otherwise not be confined to the atom. Uncertainty Principle: ΔxΔy ≥ h/2π a) Find the max. momentum of such confined electron. b) Use Uncertainty Principle...

Homework Statement How many terms of the series ∞ Ʃ (-1)n/(ln(n+1)) n=1 are needed in order to estimate the exact sum within .01 Homework Equations I know that I need to use the remainder estimate for the integral test where Rn=s-sn and that ∫ from (n+1) to ∞ of f(x)dx \leq Rn...

Homework Statement Four positive numbers, each less than 40, are rounded to the first decimal place and then multiplied together. Use differentials to estimate the maximum possible error in the computed product that might result from the rounding. Homework Equations...

Homework Statement Use the uncertainty principle to estimate the ground state energy of a particle of mass "m" is moving in a linear potential given by V(x) = ∞ for x≤ 0 V(x) = αx for x ≥ 0 Homework Equations ΔxΔp ≥ h/2 The Attempt at a Solution I've looked at a similar problem...

Estimate 1 + \frac{1}{2^3} + \frac{1}{3^3} + \frac{1}{4^3} + \frac{1}{5^3} + ... in 1 minute (See "[URL constant[/URL]). I couldn't think of a clever way to quickly do this. Any ideas?

[Solved] Estimate induced emf in the coil Homework Statement Consider a single-loop coil whose magnetic flux is given by this image: Estimate the induced emf in the coil at times near t = 0.3s, t = 0.4s and t = 0.5s This is for algebra-based physics. Homework Equations emf = -N*(change in...

Homework Statement This is for a class to learn about making order of magnitude estimates. I want to estimate the amount of energy released by burning a match. Googling gives an answer of about 1BTU (just over 1kJ) but I can't think how to estimate it from general knowledge. Homework...

"normal" determination to estimate permeability I'm working on a magnetic circuit using a cast steel rectangular core with a .0008m air gap. There is a hint the question that says, 'Use a "normal" determination to estimate μ from the graph.' What exactly is a "normal" determination...

Hi I need some help with this question: Estimate the maximum initial velocity you can achieve with a tennis ball I thought of using the maximum range formula: R=v2/g but doesn't that imply to the fact that I'm throwing at an angle of 45 degrees? Please help me, I really want to solve this...

Problem: The center of a 1.30 km diameter spherical pocket of oil is 1.30 km beneath the Earth's surface. Estimate by what percentage g directly above the pocket of oil would differ from the expected value of g for a uniform Earth? Assume the density of oil is 8.10x10^3 kg/m^3 Should I use...

Homework Statement When it comes to evaluating integrals, there are two ways you can do it. First, you know that the integration of a function is the area under a curve, as shown in the left hand diagram. However, if you are looking over a narrow range along the x-axis, you can make an...

Roughly how long would it take, ending the time when Earth touches the Sun's Chromosphere layer. (Ignoring interfering with other planets' gravities as it moves toward the Sun, if that situation exists.)

Homework Statement Estimate ∫γ dz/(1 + z^4) as R→∞. Note that letting z = Re^(it) for t in [0, π]: |∫γ dz/(1 + z^4)| = |∫(t = 0 to π) (iRe^(it) dt) / (1 + R^4 e^(4it))| ≤ ∫(t = 0 to π) R dt / |1 + R^4 e^(4it)| ≤ ∫(t = 0 to π) R dt / (R^4 - 1), since R > 1 ≤ πR / (R^4 - 1). but why...

Homework Statement A small loop of wire of radius 1.5 cm is placed at the center of a wire loop with radius 20 cm. The planes of the loops are perpendicular to each other, and a 5.0 -A current flows in each. Estimate the magnitude of the torque the large loop exerts on the smaller one...

Suppose I have two series A=\sum_{n=0}^\infty a_n B=\sum_{n=0}^\infty b_n and I have estimates for the remainders of each one: \sum_{n=N}^\infty a_n \le R^N_A \sum_{n=N}^\infty b_n \le R^N_B Consider the product series AB=\sum_{n=0}^\infty c_n where c_n=\sum_{i=0}^n a_i...

Homework Statement If y''=-y^2, is this approximationg an over-estimation or an underestimation of the exact area? Homework Equations The Attempt at a Solution

hello somme one know how to get the function that fit well with a curve following is my curve: [PLAIN]http://img814.imageshack.us/img814/5885/tempdepth.png thx..:smile:

Homework Statement Give a big-O estimate of the product of the first n odd positive integers. Homework Equations Big-O notation: f(x) is O(g(x)) if there are constants C and k such that |f(x)| ≤ C|g(x)| whenever x > k. The Attempt at a Solution The product of the first n odd integers can be...

Homework Statement The dye dilution is used to measure cardiac output with 6 mg of dye. The dye concentrations, in mg/L, are modeled by c(t)=20te^(-0.6t), 0 =< t =< 10, where t is measured in seconds. Find the cardiac output.Homework Equations Cardiac output is given by: F=A/\int[c(t) dt]010...

Hi, I know that this is my first post, but please help me! I am having trouble with the following question "The following data was collected from an experiment to measure the gamma ray count-rate at different distances from a sample of cobalt-60 The background count was measured five...

Hi, Messiah writes in his Quantum Mechanics book in chapter XVIII, section 14 (pages 786-789): http://img827.imageshack.us/img827/4605/screenshot3si.png What does he mean, when he says "an increment of the order of 'a' is necessary to transform the function phi into a function that is...

Hi, I am trying to reduce the error in the controller for a stewart platform. At the moment I am trying to experiment with estimating the transfer function of the error, and applying the inverse of the transfer function to the input data. I have an input file sampled at 50hz of...

I actually have two questions, both of which are on the same topic Homework Statement Consider X = number of independent trials until an event A occurs. Show that X has the probability mass function f(x) = (1-p)^x p, x = 1,2,3,..., where p is the probability that A occurs in a single trial...

Homework Statement Find the Taylor polynomial for f(x) = 1/(1-x), n = 5, centered around 0. Give an estimate of its remainder. The Attempt at a Solution I found the polynomial to be 1 + x + x2 + x3 + x4 + x5, and then tried to take the Lagrange form of the remainder, say, for x in [-1/2, 1/2]...

im trying to implement a tilt sensing program via accelerometer and gyroscope. part of the input that i will plan on using is gyroscope data. since gyroscopes measure angle/sec, integrating this will give me angle right? i then have three questions: 1. do i multiply the gyroscope's (1/sampling...

Think about this, a photon travel through the universe, its path can be reflected by other objects, bended by gravity. Therefore the path would not be a straight line anymore. But very often from the TV science shows stating the distances to other stars are some some million light years. How...

Homework Statement Use Maclaurin's theorem to estimate d^{2}y/dx^{2} at x=0 It's the deflection of a 2m beam, where x is the distance along the beam, y is the deflection in mm. Homework Equations The Attempt at a Solution I didn't know where to start so I tried to solve it a different...

Guys I don't know if people could estimate distance to a target object by looking through a telescope. I believe telescopes for this kind use must be calibrated some how. When the time people sailed in the ocean and when they spotted another boat by the telescope, how did they tell the...

For those not familiar with the term Fermi estimate/problem/question see here: http://www.vendian.org/envelope/dir0/fermi_questions.html http://en.wikipedia.org/wiki/Fermi_problem My question: Between the time that Riemann posed his famous question (in 1859) and now, how many hours have...

The technical paper (published in Nature): http://arxiv.org/pdf/1009.5992v1 The NYT journalistic account: http://www.nytimes.com/2010/12/02/science/space/02star.html?_r=1&ref=science ==quote== How Many Stars? Three Times as Many as We Thought, Report Says By KENNETH CHANG Published: December...

Homework Statement Let f (x) = sin x. Estimate f ' (pie/ 4) by using a graphing utility. a) 1 / 4 b) √2 /2 c) 1 / 2 d) pie / 4 The Attempt at a Solution Is it sin (45) = √2 /2. I'm wondering if b is the answer.

Homework Statement Use the results we derived in class based on the virial theorem to estimate the mass of the Coma cluster of galaxies, which has a radial velocity dispersion of o = 977 km s1 and a radius R = 3 Mpc. You can assume an isothermal sphere model for the mass distribution and...

Homework Statement (a) Estimate the terminal speed of a wooden sphere (density 0.870 g/cm3) falling through air, if its radius is 8.50 cm and its drag coefficient is 0.500. (The density of air is 1.20 kg/m3.) (b) From what height would a freely falling object reach this speed in the absence...

Homework Statement estimate the radius of the largest asteroid from which you could escape simply by jumping off. Homework Equations R^2= 3gh/4piGp The Attempt at a Solution Would I use this formula to solve it? Found it online but dose not seem right. this is a 2 part problem...

Homework Statement estimate the velocity you achieve when you jump straight up hint use the height you reach jumping on Earth to estimate the change in potential energy and then use conservation of energy to estimate you initial kinetic energyHomework Equations ymax=(v^2 sin^2 @)/2g The...

Homework Statement stars form by gravitational collapse of interstellar gas clouds. use dimensional analysis to estimate how long it takes for a cloud with a density p=Mo pc^-3 to collapse Mo= 1.9898e33 g Homework Equations The Attempt at a Solution I just have no idea how to use...

Hello, I have an electric cable in a vertical steel Tube. I estimated the temperature that will reach the JTube exposed to sun radiation. I came with these equations QCable+ Qsun - Qradiated = mc( Tfinal - TAmbient) where QRadiated= k.A.(Tfinal^4-TAmbient^4), QSun=234 [W/m^2] * A...

Estimate the radius of a solar mass (2 × 1030 kg) black hole. How do I do it? I have literally no idea! Thanks in advance for any help.

Homework Statement A function f with domain [-5, 5] has a derivative f' whose graph is shown http://img718.imageshack.us/img718/2842/calcpic.jpg" . Also, f(-1) = 2. a) If h(x) = ef(x), estimate h'(-1). 2. The attempt at a solution a) h'(x) = f'(x)ef(x) h'(-1) = f'(-1)ef(-1)...

We got some cool weather today along with some scattered showers. My wife was sitting there in deep concentration so I asked her what she was thinking. She said she was counting the seconds between the lighting flash and the thunder. She said that the light gets here much faster than the sound...

Area of right triangle with hypotenuse H is A=(1/4)H^2sin(2theta) where theta is one of the acute angles. Use differentials to estimate the relative errors of the area A if H=4cm and theta is measured to be 30 degrees with an error of measurement of 15 minutes of arc. note: a minute...

Homework Statement Use a calculator to estimate any extrema of this function: f(x)=5x^3-30x^2+45x+5(sqrt(x)) Homework Equations The Attempt at a Solution I don't know how to find it using a calculator. f'(x)= 15x^2-60x+45+(5/2)x^(-1/2)