Slope Definition and 770 Threads

1. The question is What is the slope of the line tangent to f(x)=2x^2-x-7 at x=-1 2. Must be solved using derivatives 3. So basically i know the equation (f(x+deltax)-f(x)/deltax) So i plug in the problem and i get (2(x+deltax)^2-(x+deltax)-7)-(2x^2-x-7) Now i know what the...

How do you determine the equation of all possible tangents to a curve (say, a parabola) that pass through a given point that is not on said curve? This is more of a conceptual question, and it's not homework, so I thought it fit in this forum. I think there might be a question like this on the...

Homework Statement Homework Equations The Attempt at a Solution I tried finding the partial in respect to x and then in terms of y but i just end up with 0 in the end. And suggestion?

Homework Statement I have plotted a graph of Gravitational potential energy (y-axis) vs. kinetic energy (x-axis), and I have found the value of the slope to equal -1.4. The thing is I don't know what the -1.4 equals to? Since I have to find the percentage error, I need to know the...

Hi I have read that LPF (or HPF) have magnitudes which fall at the rate of 20dB/decade from the corner frequency onwards. Why is it assumed this way although the slope is changing with frequency? Thanks Salil

Hi guys, So I'm writing up a physics lab and I have a bunch of data points. All of these data points have both x and y error bars. The relationship between x and y is linear and so I've made a line of best fit using Python passing through the data. Now the slope of that line of best fit...

Homework Statement An experiment was conducted where a slider with different mass combination is placed on a board. A Newton spring scale is attached to the slider and is pulled horizontally and parallel to the board such that the slider moves at a constant velocity. The applied force...

Homework Statement Hello everybody, can you help me with the following problem please. A car is going up the slope with a constant acceleration a (unknown). The friction force equals to Ffr = const. + 0,7v^2, where v is the velocity of the car. The angle of the slope is given and equals...

Homework Statement At what point on the curve y=2(x-cosx) is the tangent parallel to the line 3x-y=5. The Attempt at a Solution 1. rewrite 3x-y=5 as y-3x-5 2. equate 2(x-cosx) = y-3x-5 3. differentiate: 2+2sinx = 3 4. solve for x: sin^-1(,5) = 0.524 5. plug into y=2(x-cosx) to get...

Homework Statement Question: Find the slope of the curve at the indicated point. y= (1/x-1) at x=2 Homework Equations Don't know what relevant questions mean. The Attempt at a Solution (y(x+h) - y(x))/(x+h)-h ( (1/x-1 + h) - (1/x-1) )/h ( (1/2-1 + h) - (1/2-1) )/h ( (1+h) -...

two balls, one made of iron and one made of lead with same radius and mass. which one will roll down the slope faster? i don't really know where to begin, since everything is the same, the only idea i had was to somehow relate Ek=(J.ω2)/2 => Ek= m.r2.(ω2/2) to the question since i imagine...

Homework Statement On a displacement versus time graph with y-axis in feet and x-axis in seconds and variable speed. Is it possible to find the equation of this curve , f(x) With two points: x =1sec and y = 3' and dy/dx = 1.7 ft/sec , at that point And x = 2.5 sec and y= 5' and dy/dx = 0 at...

Homework Statement Let f(x) = xe^(2x) A) Find the values of x for which the slope of the cruve y = f(x) is 0 B) Explain the meaning of your answer to part (a) in terms of the graph f Homework Equations The Attempt at a Solution I tried setting xe^(2x) to 0 by making it 0 =...

[b]1. An 80kg skier is skiing down a 5 degree slope at constant velocity. find a) the resistance force parallel to the slope. this should be a really easy question but i just don't know where to start. i have drawn out the vectors for parallel force and perpendicular force but do i not...

Given a scatter plot graph, how would you find the minimum/maximum acceptable slope? I know that finding a gradient you would need to choose two points A(x1,y1) and B(x2,y2) and use the formula m = (y2-y1) / (x2-x1). My question is, which two points to pick out to determine the...

Homework Statement A parable is f(x) = 0,01x2-2x+100 it beginswith the cut with the y-axis and ends when it cuts the x-axis. Questions : a) find the average slope of the parable. b) Find the place on the parable where the average slope is present. Homework Equations here i...

I conducted an experiment to investigate whether the mass of an object will affect the object speed at the bottom of a slope with a constant gradient. The experiment showed that as the mass of the object (car) increases, the speed of the car at the bottom of the slope increases. I still do not...

The question here pertains to 1 and 2 of the above image. I already got the answers by calculating the net force in the X direction and the X force in the Y direction, but why is this? When they say "Parallel to the slope," why does that mean "in the Y-direction," and not parallel to the slope...

Homework Statement This is problem 13.70 from Beer and Johnston Vector Mechanics 9th ed. A 300-g pellet is released from rest at A and slides with friction along the surface shown. Determine the force exerted on the pellet by the surface (a) just before the pellet reaches B, (b)...

Do tensile testing machines reduce the value of load in these regions? If yes, why? If no, what's happening in the graph?

Homework Statement Find the equation of the line with slope -1 that is tangent to the curve y=1/x-1 Homework Equations y=1/x-1 The Attempt at a Solution Slope of -1 means y=-1x+k So... -1x+k = 1/x-1 I don't know how to rearrange this into a quadratic equation so that I...

Homework Statement Is it correct that the point slope equation describing a line corresponds to the position formula in physics? can i say: y-y=m(x-x) is equivelent to y-y=v(t-t) so that y=mx+y is equivelent to y=vt+y or y(t)=y + vt and if I take the derivative of y(t), I get y'(t)...

Homework Statement How much mechanical energy is lost to friction if a 58.1-kg skier slides down a ski slope at constant speed of 12.1 m/s? The slope is 122.3 m long and makes an angle of 10.3° with respect to the horizontal. Homework Equations Emec=KE+PE The Attempt at a Solution...

Consider the graphs of two equations: [y = x] and [y = x^2] One is a line and the other is a parabola. If I include a 10x into each formula, to make: [y = 10x] and [y = 10x + x^2] then the affect it will have on the line is increase its slope. But the affect it will have on...

Homework Statement An elastic ball is projected with speed V from a point O of a smooth plane inclined at an angle theta to the horizontal. The initial direction of projection is up the plane, makes an angle theta + phi with horizontal and lies in a vertical plane containing a line of...

I'm on pg 56 of Thorton's Classical Dynamics book and I see this: Imgur Link Two questions: 1) Where does the 2 go on the second to last equation. 2) Why v0^2 and not v0 on the integral?

Homework Statement Find the possible slopes of a line that passes through (4,3) so that the portion of the line in the first quadrant forms a triangle of area 27 with the positive coordinate axes. Homework Equations Not given, but I think S(triangle)=ah/2 and point-slope form of the equation...

Hey guys, here is the question : A 5.4kg toboggan carrying 35kg of sand slides from rest down an icy 90m slope inclined at 30◦ below the horizontal. The sand leaks from the back of the toboggan at a rate of 2.3kgs−1. How long does it take the toboggan to reach the bottom of the slope? I...

Hi I was searching for a slope field program for my calculator and found this one http://www.math.lsa.umich.edu/courses/116/Calculator/TI83/TI83-SF.html for some reason I can't get it to work. When I run it I only get one line row of lines at the bottom of my window when it graphs it. I...

Homework Statement I just want to be 100% sure I got this correct. I have a log graph, and along the x-axis I have diameter (in cm's) and up the y-axis I have period (in seconds). I had to get the slope, which I got, but what are the units of the slope? s/cm ? Homework...

Homework Statement a) If 2y2-xy-x2=0 , find dy/dx. b) What is/are the slope(s) of the tangent(s)at x=1? Homework Equations The Attempt at a Solution Using implicit differentiation: a) (4y)dy/dx-(x)dy/dx-y(1)-2x=0 (4y)dy/dx-(x)dy/dx=2x+y...

Homework Statement block A slides down an 8 m frictionless ramp that is curved 30 degrees above the horizontal. it then crosses a 4m surface that has a coefficient of friction that is 0.20. it then hits a ball and continues moving at 3 m/s. the ball is suspended from a string, kinda...

Homework Statement A solid 162 N ball with a radius of 0.350m rolls 5.9 m down a ramp tha is linclined at 33° with the horizontal. If teh ball starts from rest at the top of the ramp what is the angular speed of the ball at the bottom of the ramp? Homework Equations MEi= MEf PEg=KE +...

Hello! What is slope. Is it rate of "average change" or "rate of instantaneous" change? Please elaborate

We had an experiment of charging and dicharging a capacitor in a RC circuit.Our instructor asked us to plot our data in a semilogarithmic paper.Then told us the formula of calculating the slope of such a curve.It was: \frac {[the vertical distance between two points measured by a...

i failed science at school and often want answers to q's thank God for pf! i want a nice easy way to work out how much power you would need to climb hills: power versus weight and gradient is what I am after. assume constant speed constant gradient ignore wind resistance. I am after simple ball...

Homework Statement show that the tangent line to the curve y=x^3 at any point (a,a^3) meets the curve again at a point where the slope is four times the slop at (a,a^3). Homework Equations y=3x^2, point slope formula The Attempt at a Solution Not really sure where to begin. A hint...

Homework Statement Construct the slope and deflection diagrams. I've attached the problem with the original diagram (problem #1). The Attempt at a Solution Considering the number of diagrams required, I thought it would be best to attach a photo of my work. I drew the shear and moment...

Homework Statement A hollow, spherical shell with mass 2.50kg rolls without slipping down a slope angled at 35.0 degrees. i) Find the acceleration ii) Find the friction force iii) Find the minimum coefficient of friction to prevent slipping Homework Equations F=ma...

hi, My instructor has given us an assignment where we have to diagnose the type of enzyme inhibition it is. I diagnosed it as a competitive inhibitor and am trying to do a slope replot to find my value for KI. For the slope replot, you just find the slope of the each line? is it the same...

Homework Statement Using the slope from a graph of the square root of the pendulum's length vs period (which would be a linear relationship), calculate the experimental acceleration due to gravity. Homework Equations I'm trying to figure out what equation I can use to solve for 'g'...

Hi everyone, Please I have a problem to find a slope (Tangent line) of any linear function without using (x2-x1; y2-y1). What I want is a function that can be applied in any position of any type of function, example: x2, 3x3+sin(x), ln(x)+x3, and so one. (Like as in this web page "Java...

Homework Statement A uniform solid ball rolls down a slope. If the ball has a diameter of .5m and a mass of .1 kg find the following: The equation which describes the velocity of the ball at any time, given that it starts from rest. Homework Equations I've tried using energy...

Homework Statement At the given point, find the slope of the curve, the line that is tangent to the curve, or the line that is normal to the curve, as requested. x^6y^6=64, normal at (2,1) Homework Equations The Attempt at a Solution 64/y^6 or 6x6y=0, that's as far as I am...

Before I just accepted that the slope of a line is constant, but I'm wondering if there is an even more fundamental definition of a line. If one draws two right triangles with a certain Δx and Δy as the legs and wants to prove that the connection of the two hypotenuses is a straight line...

Homework Statement Hello, folks. I know this same problem has been answered before here but the previous responses are just not doing it for me, sorry! An inclined plane of angle θ = 20.0° has a spring of force constant k = 495 N/m fastened securely at the bottom so that the spring is...

Homework Statement Been trying the last few hours to figure out what the slope of a kinetic vs potential graph means. I did a lab this past week dealing with springs and a glider. Was asked to graph a X^2max-x^2 vs v^2 graph. Made the graph but have no idea what the slope means...

http://anythinghere.comeze.com/slope.png The slope is supposed to be 0.16 but that's not what i get. Can someone else please confirm i am not going nuts?

1. A skier starts from rest at the top of a hill of height h down a 30.0 degree ski slope with an acceleration a. a.) What is her speed at the bottom of the hill? b.) If the hill was h = 250. m high and her acceleration down the slope was a = 4.00 m/s2, what was instantaneous speed at the...

Homework Statement Find the equations of both lines through the point (2,-3) that are tangent to the parabola y=(x^2)+x Homework Equations The Attempt at a Solution Took the derivative and got a slope of 5 and the slope of the normal line being -1/5, but the answer was marked...