Slope Definition and 770 Threads

Homework Statement Find the slope of the tangent line to the curve: sqrt(4x+2y) + sqrt(1xy) = 9.72 at the point (6,3) Homework Equations Derivative laws The Attempt at a Solution the slope of the tangent line to a curve is the Derivative of the function of the...

finding the slope?? how to find the slope of 1st line?. when 2nd line slope is given, angle between them is given, the intersection of the 2 lines are given also... any ideas? see this http://img87.imageshack.us/img87/1055/questionz.png

Homework Statement I need to design a lab that will give me 5 points that produce a constant slope. Homework Equations I want to use the equation for emf E=Blv I would re-arrange it to make E/Bv = l Where B and v are my constantly increasing data points, E is measured by some sort of...

Homework Statement A 900kg car is moving up a 15degree inclined slope at 40ms-1. The driver slams on the brakes, skidding to a halt 40m along the road. Calculate the total work done by the car. Homework Equations This is what I am not sure of. As I am not told whether or not the...

[PLAIN]http://img413.imageshack.us/img413/4452/mechanicsdiagram2.png Homework Statement There is no friction between mass c and the slope. The pulley and rope have no mass. The coefficient of friction between the two masses on the slope is \mu_1 Get an expression for the acceleration of the...

Homework Statement A block of ice with mass 2.0 kg slides 0.90 m down an inclined plane that slopes downward at an angle of 27° below the horizontal. If the block of ice starts from rest, what is its final speed? Friction can be neglected. m = 2.0 kg s = 0.90 m θ = 27° Homework...

Homework Statement If you had data from a lot of different frequencies, how could you use a slope to find the speed of sound? Explain in detail. Given/Known: So basically we did a lab where we used 3 different tuning forks and hit them over a tube filled with water. We recorded where we...

Homework Statement We are calculating the slope of the function f(x) = 1/x - x2 at x = 3/2. For the function f(x) = 1/x - x2, we now know: f(3/2) = -19/12 f(3/2+h) = (1)/(3/2 + h) - ((9/4) + 3h + h^2) Now evaluate the difference quotient, simplifying as much as possible and...

Homework Statement A man in a wheel chair is being pushed up a slope, for a distance of 10 metres. He is moving at a constant velocity. What is the net work done when he reaches the top of the slope? Homework Equations W = FX The Attempt at a Solution I just seem to have...

Homework Statement We are calculating the slope of the function f(x) = 2/x + 3x at x = -3. -------------------------------------------------------------------------------- For the function f(x) = 2/x + 3x, we now know: f(-3) = -29/3 f(-3+h) = (2/( - 3 + h) - 9 + 3h) Now evaluate the...

Homework Statement Give the two common forms of the mathematical equation for slope (involving X & Y)? Homework Equations ? The Attempt at a Solution Can you guys please give me the two common forms of the mathematical equation for slope? I don't know what it is but I am guessing...

I want to plot a line in mathematica with a negative slope by setting it's starting point, length, and slope but i couldn't figure out how to do it. example: A line "AB" has a starting point (40,0) has a length 10 has an angle 127 degrees between x axisIn MATLAB i can do this with %% k =...

Homework Statement is the derivativethe same thing as the slope of the function for which we're finding the derivative? Homework Equations The Attempt at a Solution

Homework Statement In an experiment, a ball was released from rest at the top of a slope and rolled a distance of 2.0 m down the slope in 8.0 s. Calculate (a) its average speed in this time (b) the speed after 8.0s from rest (c) the acceleration of the ball Basically, I got the...

Homework Statement We are calculating the slope of the function f(x) = 1/x at x = 1. -------------------------------------------------------------------------------- So far, so good. For the function f(x) = 1/x, we now know: f(1) = 1 f(1+h) = 1/(1 + h) Now evaluate the difference...

Homework Statement We are calculating the slope of the function f(x) = x^3 /3 - 2x at x = 2. For the function f(x) = x^3 /3 - 2x, we now know: f(2) = -4/3 f(2+h) = (8 + 12h + 6h^2 + h^3)/3 - (4 + 2h) Now evaluate the difference quotient, simplifying as much as possible and cancelling...

I just need to know what equations and everything is used to explain why the slope of V2 Vs. X graph is 2a. I understand why V vs. T is a and X vs T2 is 1/2a. Thanks!

Homework Statement We are calculating the slope of the function f(x) = 5 - 3x^2 at x = -1. For the function f(x) = 5 - 3x^2, we now know: f(-1) = 2 f(-1+h) = 5 - (3 - 6h + 3h^2) Now evaluate the difference quotient, simplifying as much as possible and cancelling h in the denominator...

Homework Statement We are calculating the slope of the function f(x) = x2 /3 at x = 2. For the function f(x) = x2 /3, we now know: f(2) = 4/3 f(2+h) = (4 + 4h + h^2)/3 Now evaluate the difference quotient, simplifying as much as possible and cancelling h in the denominator...

y(x) has a point (1,3) so the tangent of y(x) in (x,y) point passes y axes in a point 2xy^2 find y? how i tried: y'=f(x,y) y is the solution of the differential equation. without knowing y we can find its slope by putting the values in f(x,y) if we find a function which is tangent in...

Homework Statement The shape of a hill is described by the height function: h(x,y) = \frac{1}{\sqrt{2+x^2+y^4}} a) find the gradient \nabla h(x,y) b) find the maximum slope of the hill at the point \bf{r_0 = i+j} [or (x,y) = (1,1)] c) If you walk NorthEast (in the direction of the...

Homework Statement A 4000 kg truck is parked on a 15 degree slope. what is its friction force? please show work, i'd like to understand how to do this problem *** my college professor doesn't really teach in class, well let me take that back. he teaches some things but leaves us...

Homework Statement Another model for a growth function for a limited pupulation is given by the Gompertz function, which is a solution of the differential equation dP/dt = c*ln(K/P)*P where 'c' is a constant and 'K' is the carrying capacity. At what value of P does P grow...

The pure anzyme was given at a 1mg/mL concentration. … The question is: How much (ug) of acid phosphatase enzyme was extracted from the wheat germ? I believe the 1.022 is in (mg/mL). Dont I need to multiply this by a volume to get to a mass? Or is this the mass?

Homework Statement Hiker 1 was at the bottom of a cliff. He started climbing trying to maintain a constant rate of speed. After 2 minutes he was 160 ft from the bottom of the cliff and after 5 minutes he was 380 ft from the bottom. What is the height of the cliff and when did he reach the...

Homework Statement A skier with a mass of 53 kg starts from rest and skis down an icy (frictionless) slope that has a length of 59 m at an angle of 32° with respect to the horizontal. At the bottom of the slope, the path levels out and becomes horizontal, the snow becomes less icy, and the...

Homework Statement A 75Kg skier starts down a 50m high 10˚ slope. What is his speed at the bottom? Part A: Consider skis frictionless Part B: Assume that the coefficient of kinetic friction between the skis and the surface of the slope is µk=.05Homework Equations |Ff|=µk•|FN|...

Homework Statement skier decends a slope of 30 degrees. Assume the coefficient of kinetic friction is 0.1 draw a force diagram find his acceleration Homework Equations The Attempt at a Solution force diagram i have normal force up, cos(theta)mg down, Force friction left and...

Homework Statement In the diagram, the pulley is frictionless and the string is massless. Given: m2 = 90 kg, m1 = 2m2,  angle= 26o, and μk = 0.11. Determine the tension in the string. The m2 is on a sloped hill, m1 is dangling down off of the pully Homework Equations Fg=mg F=ma...

Homework Statement A skier coasts down a 3.5 degree slope at a constant speed. Find the coefficient of kinetic friction between the skis and the snow covering the slope. Homework Equations coefficient of friction x Normal force = force friction therefore: coefficeint of friction =...

Homework Statement Find the slope m and y-intercept (0,b) of the line 2x + 4y =8 Homework Equations I am still having troubles with finding the slope and y-intercept of a line. Can you please solve this equation for me, but show me the steps, and break it down? It would really...

A golfer drives a ball horizontally with initial velocity v = (50m/s , 0) from a tee at the origin, down a 20deg below-horizontal slope as illustrated above. A. How far from the tee measured along the slope does the ball land on the slope? B. With what speed does it land? a link to the page in...

Homework Statement Determine the slope and y-intercept of the line: 1/2y = x - 1 - Graph the line Homework Equations I know this is a simple one, but I am having troubles with it. Can someone lay out how they got the slope, and then how they got the y-intercept. pointing out the...

The question is quite simple by i dnt seem to be getting it.. When a body is placed in a slope. force mg is resolved into rectangular components.. the one perpendicular to the slope is taken as cos component n the one parallel is taken as sine component. I don't understand whisch one to take...

I had a thought and I am not sure how to answer it. Let's say that I have some data points (x1,y1), (x2,y2), (x3,y3) ... and I want to estimate the slope at x2. Would it be better to estimate it using (y2 - y1)/(x2 - x1) or (y3 - y1)/(x3 - x1) ? That is, should the secant line that I draw...

Homework Statement A box of 2Kg is projected with a speed of 6m/s up a slope at 30* to horizontal. The coeffiecient of friction is 1/3. Use the work energy principle tp calculate the distance traveled by the box before coming to rest. Homework Equations When you calculate the work done...

Can someone please explain this to me (please see title)? I understand how to compute it but why is this so? Thanks

I am an architect and I am wanting to create a water feature where the rain water falls directly off of the sloped roof on to the ground 31 feet below. Similar to a waterfall. The problem is that I need to have a hard surface or some type of trench for the water to hit on the ground. This way it...

Consider the rolling cylinder in the figure To describe the cylinders translational motion, I have Ma=G sin \theta - f a is the acceleration of the cylinder parallel to the slope. If you have an object (cylinder or not) sliding down the same slope without friction, with the same...

Homework Statement I need to find the max slope and deflection of beams with several different types of loading on them. I need to first find a load function or a moment function. Then use integration (and boundary conditions or continuity conditions) to find an expression for the slope and...

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...