Slope Definition and 787 Threads

What are solutions to \psi''(x) = (a_0 + a_1 x)\psi(x) ? First idea I've had was that I could try some kind of perturbation with respect to the a_1 variable, so that \psi(x) = A_1e^{\sqrt{a_0}x} + A_2e^{-\sqrt{a_0}x} + \psi_1(x) would be an attempt. But I couldn't find...

Homework Statement Question is in attachment Homework Equations The Attempt at a Solution I mananged to find the acceleration up the slope but cannot get any further than this? - can someone please give me hint; push in the right direction Thanks :D

A 70kg object is being pulled up a slope of 30 degrees such that the rope is parallel to the slope. v is constant. coefficient of friction = 0.3. what is the tension of the rope? I know without friction its, something like, T=mgsin(30)=70kg(9.8m/s^2sin(30))= 343N But i just don't no...

Hello, Does anyone have an idea about how to use fit data with a line while fixing the slope in MS. Excel? Does linest by anyway capable of doing that? Thank you Lorna

hi guys, can someone give me a quick tutorial on how to solve and explain to me the concept of slope field of the following differential equation: sketch the slope field for dy/dt = 2t+1 showing the solution y=t^2+t-4, which satisfies the initial condition y(-2)= -2 Also how to use...

Hi everyone, not a homework problem, just something I was thinking about when I found in a book. Homework Statement A hollow Cylinder is rolling down an incline of angle theta. Inside the cylinder is a smaller solid cylinder rolling freely inside it. (Refer to diagram) Given an x...

Homework Statement A curve is given by the equation: y^3+1004=(e^x+1)^2 Find the slope of the tangent line at the point (0,-10). Homework Equations The Attempt at a Solution I took the derivative of ((e^x+1)^2-1004)^(1/3) and that is (2e^x(1+e^x))/(3((1+e^x)^2-1004)^(2/3)) but...

"Prescribed slope" Ok, so the prof gave us a list of topics and sample questions to focus on for the midterm. This is one of them: Find all values of x where the graph of a given function has a prescribed slope. I take this to mean, "find all the values of x where the given function is...

I wasn't sure where to put this, as it is a question pertaining to logic, but not mathematical logic per ce. I don't understand why the slippery slope argument is considered a fallacy, especially in a political context. While it is obviously incorrect to say that some action inevitably...

Homework Statement Find the slope of the tangent line to the curve of intersection of the vertical plane x - y + 1 =0 and the surface z = x2+y2 at the point (1, 2, 5) Homework Equations Gradients, Cross products The Attempt at a Solution I'm pretty lost here. I think I have to...

Homework Statement Find the slope of the tangent line to the given polar curve at the point specified by the value of θ. r = 9sin(θ) θ = pi/6 Homework Equations dy/dx = (dy/dθ) / (dx/dθ) x=rcosθ y=rsinθ (sinx)^2 = (1/2)(1-cos2x) (cosx)^2 = (1/2)(1+cos2x) 2sinxcosx = sin(2x) The Attempt at...

Homework Statement f(x) = 2x2 + 4e(5x) is invertible. Give the slope of the normal line to the graph of f-1 at x = 4. Homework Equations (Given in question) The Attempt at a Solution I don't know how to solve this question. But , I found the following:- f(4) = 32 + 4e20 let y...

Homework Statement Suppose the hoop were a tire. A typical coefficient of static friction between tire rubber and dry pavement is 0.88. If the angle of the slope were variable, what would be the steepest slope down which the hoop could roll without slipping? The Attempt at a Solution...

Homework Statement "for a cantilever beam with a concentrated load in the middle of the span, prove that the slope is WL2/8EI, and the deflection is 10WL3/96EI" Homework Equations the length of the span is L, the concentrated load is acting in the middle at L/2 The Attempt at a...

The surface given by x = x^2 - y^2 is cut by a plane give by y = 3x. producing a curve in the plane. Find the slope of this curve at the ppoint (1,3,-8) A) 3 B) -16 C) - 8sqrt(2/5) D) 0 E) 18/sqrt(10) So we want to look at this curve when y = 3x. Then x = x^2 -y^2 becomes x = x^2 -...

Homework Statement For the function f(x)=(x^2-3)/(x-2), determine the locations of any points of inflection, if any

Homework Statement Given Homework Equations The Attempt at a Solution

Homework Statement A skier is going up a slope of 5 degrees to the horizontal. She is skating so only her skis provide propoltion. The static and kenetic friction coefficients for this situation are \mu_{s}=0.12 and \mu_{k}=0.07 Find the magnitude of her maximum possible uphill...

Homework Statement http://www.screencast.com/users/ntrinh3/folders/Jing/media/7b6a2810-2827-44c3-adfc-cd27d564b812 Homework Equations Wnet=change in KE The Attempt at a Solution so I made the coordinate with x positive in right direction and y is positive up. Fdcos30-mgh=.5mv^2...

Homework Statement A 16.0kg box slides 4.0m down the frictionless ramp shown in the figure, then collides with a spring whose spring constant is 240N/m. Figure Attached It is a two part question, I got neither and don't understand why. a)What is the maximum compression of the...

Homework Statement Starting from rest, a 75 kg skier slides down a 17.0 º slope. If the coefficient of kinetic friction between the skis and snow is 0.120 and it takes 28.2 s to get to the bottom, how long is the ski trail? Homework Equations F = ma s_f = s_i +v_i + 1/2at^2 The...

1. A moving particle has position (x(t),y(t)) at any time t. The position of the particle at t =1 is (2,6), and the velocity vector at any time t > 0 is given by (1 - (1/(t^2)), 2 + (1/(t^2))). The particle approaches a line as t -> infinity. Find the slope of the line. Show the work that...

1. Prove that the slope of an isochoric process in a T-S diagram is T/Cv where T is the temperature and Cv is the heat capacity at constant volume 2. dQ = T * dS (I understand this) dQ = Cv * dT for isochoric processes (I don't understand this) 3. Since the two equations share dQ...

Im doing a lab about acceleration due to gravity. And one of the things we had to do is make a a-t graph using the Aave and Ttotal. Interval ∆t Ttotal ∆d Dtotal Vave ∆v Aave(cm/s^2) 1 0.050 0.050 2.0 2.0 40 - - 2 0.050 .100 4.0 6.0 80 40 800 3 0.050...

Homework Statement A large empty crate, with its lid in place, has a 9.50 kg mass hanging from a string attached to the center of the lid. If the crate were sitting (at rest) on a flat surface, the string would simply hang straight down such that the mass would not be touching the floor of...

Homework Statement Here is the full question. Consider a curve defined by 2y^3 + 6x^2y - 12x^2 + 6y = 1 and dy/dx = (4x-2xy)/(x^2+y^2+1). The line through the origin with slope -1 is tangent to the curve at point P. Find the x - coordinate and y - coordinate of point P. Homework...

Homework Statement Write the slope intercept forms of the equation of the lines through the given point (a) parallel to the given line and (b) perpendicular to the given line. Point: (2,1) Line: 4x-2y=3 Homework Equations y-y1=m(x-x1) y=mx+b The Attempt at a Solution I...

Homework Statement I made a graph of Absorbance vs. Concentration from data I got in the lab. I graphed it and now am trying to figure out how to find the slope of the curve. It's supposed to be a Beer's Law calibration curve. Homework Equations The Attempt at a Solution I...

Homework Statement A skier is pulled up a slope at a constant velocity by a tow bar. The slope is inclined at 30.9 ° with respect to the horizontal. The force applied to the skier by the tow bar is parallel to the slope. The skier's mass is 61.4 kg, and the coefficient of kinetic friction...

Homework Statement An object is pulled at a constant F. KE0+PE0=0, so W=PE+KE. If there were no friction, the slope of a graph (KE+PE=Y-axis, W=X-axis) would be 1 and the y-intercept would be 0. What would the addition of friction do to the slope and y intercept (would the y intercept be more...

Q1. A cyclist can develop power of 400W and a top speed on a level road of 7.5m/s. The drag force against which the cyclist is working is? Q2. A constant force drags a block of mass 2kg up a smooth slope at a constant speed of 1m/s, exerting power or 10W. The angle of the slope is? 2...

Homework Statement A 1.0 kg physics book is on a 20 degree slope. It is connected by a string to a 500 g coffee cup dangling at the bottom side of the incline. The book is given a push up the slope and released with a speed of 3.0 m/s. The coefficients of friction are us = .50 and uk = .20...

Homework Statement f(x) = 2x2-5x-12 is given; part a: find derivative of f(x) using first principles, part b: find the rate of change of f(x) at x=1, part c: the points at which the line through (1, -15) with slope m cuts the graph of f(x), part d: the value of m such that the points of...

Why do we take slope=rise/run (or y/x)? Is it just a definition, or does it have a special significance? Why can't we take slope as run/rise (i.e. x/y)?

Homework Statement 2. Homework Equations + questions 1) Normal Force when considering mg as the vertical force, mg = N cos θ however, when considering N as the vertical force, N = mg cos θ note: θ is the same due to opposite angle which equation is correct? 2) Acceleration down...

Homework Statement Find the slope of the tangent line using a specific formula g(x)=3t-t2 at (0,0) Homework Equations Im told to use this equation by the book f(c+deltax) - f(c) Deltax The Attempt at a Solution Everytime i plug it in by way of the books style i...

Homework Statement I have this problem on my physics exam and I hoped you guys could help. The Question is: Why is the relationship between the average velocity and the height of a ball rolling down a slope a square root function? The slope is 100cm long, the height of the ball at the top of...

Homework Statement A spring at top of a 30 degree slope is compressed 0.5m by a 0.5 kg book. If the book is released, it will just reach the edge of the slope at the spring's equilibrium point, and then it will start to slide down the slope. Assume the spring constant is 25 kg/s^2. Assume...

Homework Statement It's been a great day of new, frictionless snow. Julie starts at the top of the 60 degree slope shown in the figure . At the bottom, a circular arc carries her through a 90 turn, and she then launches off a 3.0--high ramp. How far horizontally is her touchdown point from...

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...

Homework Statement A 4.7 kg block is placed on an incline with a 14° angle. Ignoring friction, what is the acceleration of the block? If the coefficient of kinetic friction is 0.25 (and has overcome static friction) what is the acceleration of the block? If the incline is 4.6m long, what is the...

Homework Statement I am given the formula A = Bt / (3d2) d is what we changed, A is what was measured. I had to plot ln(A) vs ln(3d2). What do the slope and intercept of this graph represent? Homework Equations The Attempt at a Solution ln (A) = ln (Bt / 3d2) = ln(Bt) -...

Homework Statement # 23 http://img26.imageshack.us/img26/1008/questionsh.jpg Homework Equations m1 * m2 = -1 The Attempt at a Solution i get -4 not sure what's wrong: http://img4.imageshack.us/img4/6092/15608741.jpg

my question is that slope=tan(angle) slope can be 1,2,3,..,9,0 but tan(angle) can be 0,1 or b/w the intervals or infinity. so how they can be equal.

Homework Statement A small block slides down a slanted board when released. The upper half of the board is smooth and the lower is rough, so that the acceleration of the block on the smooth half is three times greater than it is on the rough half. The block reaches the bottom of the board in...

1. The problem statement, all variables and given/known data A clerk moves a box of cans down an aisle by pulling on a strap attached to the box. The clerk pulls with a force of 190.0 N at an angle of 28° with the horizontal. The box has a mass of 37 kg, and the...

Homework Statement Find the x values of the points on the curve f(x) = (x^3) + (3x^2) + 3x + 6 where the tangent has a slope equal to m = 6 Homework Equations The Attempt at a Solution This question was on an online quiz for my into calculus course... can't seem to wrap my head around...

Homework Statement y\prime=4x^3+6x^2+2x+1 Homework Equations The Attempt at a Solution 4x^3+6x^2+2x+1 -1 = 2x(2x^2+3x+1) (I moved the +1 over so I don't get 1/x, but I figured this should screw up the equation since it is no longer 0 on the left hand side.) -1 = 2x(2x+1)(x+1) So the...

http://www.math.rutgers.edu/~greenfie/webstuff/pdfstuff/w6W.pdf is the problem For the first part, I believe it is just tracing, right? I look at the line at (0,1) and then follow it, but it's a little confusing. Next It says how many critical points...well a critical point is when it is...

Homework Statement You, a 75-kg skier, glide straight down a snow-covered slope inclined at 15 degrees to the horizontal over spring break. Let's be realistic, what is your acceleration(magnitude and direction) Assume your skis are wood and the snow is dry. mu_k on snow is 0.060. Homework...