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    A little help with symmetric, reflexive and transitive

    Hello, It's been a while since I've had to determine whether a relation is reflexive, symmetric or transitive so I would appreciate a bit of guidance. I now that being reflexive means the relation xRx for all x and being symmetric implies xRy and yRx for all x, y and transitive implies that if...
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    Need help beginning to solve this Integral

    Hello, I have this integral that is stumping me. Once I get the basic start then I know I can finish the rest myself it's just getting started that's stumping me. Here is the problem: \int_{0}^{4} {e^\sqrt{x}} dx First this doesn't appear to me to be an improper integral. So I should just...
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    Having trouble graphing a Volume problem

    Hello again, Once I get this graphed correctly, I don't see any problems as to why I couldn't solve it. But for now I have a question about graphing this volume problem. The problem says to find the volume generated by rotating the region bounded by y=e^x, x=0, and y=\pi about the x-axis. I...
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    Having trouble finding the Integral

    Hello, I am having trouble getting started with this integral. \int sin2x ln(cos2x) dx My first thought goes to using integration by parts to solve this but I am still getting stuck. I also know that sin2x = 2sinxcosx but again I'm not seeing how that would help me so I'm back to...
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    Finding the general integral

    Hello, I have a problem that I am having difficulties with. I'm told to find the general integral. So here is the problem: \int_{\frac {\pi} {2}}^{\frac {-\pi} {2}} \frac {sinx} {1 - sin^2 x} dx Here is my partial solution: \int_{\frac {\pi} {2}}^{\frac {-\pi} {2}} \frac {sinx}...
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    Part 2 of the Fundamental Theorem of Calculus

    Hello, I have a problem that I am getting stuck simplifying further. The problem asks me to find the integral if it exists using Part 2 of the FTC. I know that the second part of the FTC says:\int_{a}^{b} f(x)dx = F(b) - F(a) Where F is the anti-derivative of f. Here is the problem...
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    Finding a derivative using the FTC Part 1

    I have a problem which asks me to find the derivative using Part 1 of the Fundamental Theorem of Calculus. So I know that the FTC says that if: g(x) = \int_{a}^{h(x)} f(t) dt then, g'(x) = f(h(x)) * h'(x) I've got what appears to be an easy problem, maybe too easy and because of that I...
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    Finding the antiderivative for fractions?

    Finding the antiderivative for fractions??? Hello, I get antiderivatives and the idea behind them. But I still don't really comprehend how to apply it towards a fraction. We know that \int (\frac{1}{x}) dx = ln|x| So would the antiderivative of \int (\frac{4}{x}) dx = 4(ln x) ? But...
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    Sketching a graph based on certain conditions

    Sketching a graph based on certain conditions.... Hello, I'm supposed to sketch a graph of f based on condtions I'm given. However some of the conditions I'm given I'm not sure exactly what is supposed to happen. A little help would be greatly appreciated. Here are the condtions, some of...
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    Graphing the function f based on the graph of f prime.

    Hello, I have this problem that I completed. I was hoping somebody could just let me know, based on my answers if the graph I have drawn looks to be correct? I would really appreciate it. Thanks to anyone who replies. :smile:
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    Logarithmic differentiation to find dy/dx

    Hello, I know how I need to do the problem, I have figured out an answer as best as I could but I have a feeling the answer is not correct. In fact I'm pretty sure it's not. Anyway, I'm supposed to use the logarithmic differentiation to find dy/dx for the equation: x^y = y^x I know I need...
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    Compressed Spring Problem

    I have a problem that I just can't seem to figure out. Here's the problem: The drawing (Click Here) shows a block (m = 1.6 kg) and a spring (k = 325 N/m) on a frictionless incline. The spring is compressed by x_o = 0.35 m relative to it's unstrained position at x = 0 m and then released. What...
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    Monatomic Idea Gas

    I am sick of these problems. I just cannot grasp these ideas at all and I'm really trying. But it's no use. And in the end, it's always something minor I'm overlooking. I am having issues with the following problem: Three moles of a monatomic ideal gas are heated at a constant volume of 1.90...
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    Isothermal Expansion

    Hello, I have what should be an easy problem, but I, of course, am having some issues. Here's the problem: The temperature of 2 moles if an ideal gas is 380 K. How much work does the gas do in expanding isothermally to 3 times its initial volume? So I know I'm gonna to need to use this...
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    Carnot Air Conditioner

    Hi there, I have what should be a simple problem, but it's driving me insane. Here's the problem: A Carnot air conditioner maintains the temperature in a house at 290 K on a day when the temperature outside is 315 K. What is the coefficient of performance of the air conditioner? So I...
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    Ideal Gas and Spring

    Hi there, I have a problem that I believe I am doing correctly, but my answer proves otherwise. I was hoping someone could take a look and let me know where I'm going wrong. Here's the problem: A gas fills the right portion of a horizontal cylinder whose radius is 5.10cm. The initial...
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    Rotational Motion About a Fixed Axis

    Hello again. I thought I had this problem figured out but once again, I did not. Here's the problem: A solid circular disk has a mass of 1.2kg and a radius of 0.12m. Each of three identical thin rods has a mass of 0.12kg. The rods are attached perpendicularly to the plane of the disk at...
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    Another Spring Problem

    Hello, I have a problem that I thought I knew how to figure out but I'm getting a bit stuck. Here's the problem: A 0.82kg block is hung from and stretches a spring that is attached to the ceiling. A second block is attached to the first one, and the amount that the spring stretches from...
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    Objects in Equilibrium/Center of Gravity

    Guess who? Yeah it's me yet again. LOL I am a bit lost with the following problem. Here's the problem: A uniform plank of length 4.5m and weight 223N rests horizontally on two supports, with 1.1m of the plank hanging over the right support (see the drawing). To what distance x can a person...
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    Rolling Motion

    Well I'm back. LOL Yet another question regarding my homework problem. Here's the problem: A ball of radius 0.370m rolls along a horizontal table top with a constant linear speed of 3.20m/s. The ball rolls off the edge and falls a vertical distance of 2.70m before hitting the floor. What is...
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    Rotational Kinematics

    Hello, I have a problem where I honestly have no idea how to get started. I have a slight idea what might be invloved but other than that, I am stumped. Here's the problem: At the local swimming hole, a favorite trick is to run horizontally off a cliff that is 8.6m above the water. One...
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    Angular and Tangential Variables

    Hello, I think I did this correctly, and I would just check but I'm running out of submissions for my homework so a quick varification would be greatly appreciated. :smile: Here's the problem: The drawing shows the blade of a chain saw. The rotating sprocket tip at the end of the guide...
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    Forces and Torques

    I can't understand why I can't get this problem right. It's irritating me, so any help would be greatly appreciated. The Problem: The drawing shows a jet engine suspended beneath the wing of an airplane. The weight W of the engine is 9300 N and acts as shown in the drawing. The rotational...
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    How much time does it take to lift the piano?

    Hello, I thought I knew how to solve for this problem but alas I was wrong. I'm hoping someone will be able to point me in the right direction. Here's the problem: A 1.40x10^2 kg piano is being lifted at a steady speed from ground level straight up to an apartment 18.0m above the ground...
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    Kinetic Energy and Work-Energy Theorem

    Hello, I could use a little guidance on this problem. An extreme skier, starting from rest, coasts down a mountain that makes an angle of 25 degrees with the horizontal. The coefficient of kinetic friction between her skis and the snow is 0.200. She coasts for a distance of 13.1m before...
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    Gravitational Force on different planets

    I thought I did this problem correctly but when I submit my answer it says other wise. Here is the problem: The mass of a robot is 5440kg. This robot weighs 3610N more on planet A than it does on planet B. Both planets have the same radius of 1.33 * 10^7m. What is the difference M_{A} - M_{B}...
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    Kinetic Frictonal Forces

    Hello, I have a problem that I am stuck with. The problem consists of a 2.60kg box sliding across the horizontal floor of an elevator. The coefficient of kinetic friction between the floor and the box is 0.490. I have to determine the kinetic frictional forces of different cases. (a) when...
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    Tension Force

    Hello again, I'm stuck on a new problem. Again, I thought I had the correct equation but apparently not as my answer is not correct. Here's the problem: A steel I-beam has a weight of 9.10 N and is being lifted at a constant velocity. What is the tension in each cable attached to its ends...
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    Equilibrium at Constant Velocity

    Hey there, I have a problem that seems easy to me to solve but I'm just not getting it. I'll give the problem and then what I've done so far. A helicopter is moving horisontally to the right at a constant velocity. The weight of the helicopter is W = 51200N. The lift force L generated by...
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    Newton's First Law of Motion

    I don't understand how to even begin with this problem. Here it is: An arrow, starting from rest, leaves the bow with a speed of 26.0 m/s. If the average force exerted on the arrow by the bow were doubled, all else remaining the same, with what speed would the arrow leave the bow? I do...
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