Slope Definition and 770 Threads

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...

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 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...

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...

ok guys, i got one that wants me to figure out how much work is done: A skier of a mass 79.1 kg, starting from rest, slides down a slope at an angle of 38 degrees with the horizontal. The coefficient of kinetic friction, u, is 0.09. What is the net work (the net gain in kinetic energy) done on...

Homework Statement How should the variables ( l and T) be plotted to obtain k from the slope of a linear graph? Identify (write out) the constants correstponding to the slope and intercept of the linear graph. Homework Equations l = lambda l = (k/f)*(T/u)^0.5 The Attempt at a...

Homework Statement Ok so the problem is this: A car of a mass 960kg is free-wheeling down an incline (15 degrees to the horizontal) at a constant speed of 9.0 m s^-1 - Deduce that the average resistive force acting on the car is 2.4*10^3N Homework Equations F=ma I suppose, but it hasn't...

Homework Statement I have attached a picture of the problem to this thread, I am having trouble with part c. I am getting an answer which is much larger than 24.5N The systems shown in the figures are in equilibrium. If the spring scales are calibrated in Newtons, what do they read? (assume...

This is the only question in my physics section of projectiles I am having trouble with (This is ranked as the hardest question in this section of my text, please cut me some slack :P), because I have no idea how I would go about finding the intersection point of the skier with the slope. The...

Homework Statement A boy is standing on the peak of a hill (downhill), and throws a rock, at what angle from himself to the horizontal should he throw the rock in order for it to travel the greatest distance. Answer clues: 1. if, the angle from the slope to the horizontal = 60, then the...

hi, I am required to search the internet to find out what the theoretical value of the lift slope (dcl/dalpha) is for thin airfoils. Cl is the lift coefficient and alpha is the angle of attack of the airfoil. Does anyone have any ideas? Thanks for your time.

Homework Statement A ball is rolled down a rough hill with coefficient of \mu<tan\theta. The hill has a height of h. The ball has moment of inertia of I, mass of m, and radius of r, which are all constant. What is the final velocity of the ball at the bottom of the hill? P.S. I made this...

A car traveling at 25 m/s runs out of gas while traveling up a 9.0 slope. How far will it coast before it starts to roll back down? How do you find the rate at witch gravity pulls the car down the slope? I don't understand how to find that

what is the mean of "slope resistance" of zener diode? Its parallel to diod or series?

Homework Statement I've never seen such a problem before: Find the two straight lines that are perpendicular to y=0.25x and tanget to the curve f(x)=1/xHomework Equations y=0.25x ; f(x)=1/x The Attempt at a Solution Using the power rule, I found the derivatives of: f(x)=-x^{-2} and y=0.25...

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...

Need to know how to figure out the units on a slope ty.