Slope Definition and 770 Threads

Show that the slope of the line passing through the two points (x, x^2) and (x + h, (x + h)^2) is 2x + h. Let me see if I can solve this baby on my own. Let m = slope = 2x + h m = [(x + h)^2 - x^2]/[(x + h) - x] If I simplify the right side, it should give me m, right? At the very end, I...

Homework Statement Calculate the deceleration of a snowboarder going up a 5.0° slope, assuming the coefficient of friction for waxed wood on wet snow ( = 0.1). Homework Equations F = ma W = mg Fs = (Fn) Fk = k (Fn) The Attempt at a Solution Answer key says it's 1.83 m/s2. I fiddled...

I'm trying to code a script for a character in my game. This will tell the character if the player is in front or behind them. Basically I know the coordinates of the character and their angle of rotation (if rotated 45 deg, that is where they are looking) Perpendicular to their angle is a...

Homework Statement Yesterday, our physics class had a laboratory examination, in which we used a protractor as a "weight". We hung some paperclips and checked the angle. Then, they asked about the physical meaning of the slope of the graph: tan( angle) as a function of n( number of...

During a lab exercise we measured different masses of a magnetic material on a scale while changing the strength of the magnetic field it was in. Afterwards we plotted the masses and the fieldstrength hoping to find a linear slope. Then we drew a linear slope by using linear regression and found...

Homework Statement http://i.imgur.com/In40pGm.png Answer: C Homework Equations f'(x)=slope=(y1-y2)/(x1-x2) The Attempt at a Solution I can't even list a valid formula for that... like I tried to integrate f'(x), but f(x) is with y so I don't think I am thinking in the right direction. What...

Hi folks, I was thinking about an old physics olympiad question I read. Can't remember exactly but it was about minimising the reaction force of a skier as she took a curved path down a ski-slope. That got me thinking generally about what is going on with the reaction force in such a situation...

Hey! :o We have that the IS- curve is described by $$Y=C(Y)+I(r)+\overline{G}$$ I want to calculate the slope $\frac{dr}{dY}$ of the IS-curve. How could we calculate that? Could you give me a hint? (Wondering)

Homework Statement http://i.imgur.com/4FPnTNS.jpg Homework Equations (Written in above photo) The Attempt at a Solution (Written in above photo) I have tried hard in figuring out what's wong I have done done, but what I finally got is still option d instead of the model answer e. Are there...

I have conducted a tensile test on five specimens. I intend to do a linear regression for every set of data and get a value for the slope (modulus of elasticity) and its error by finding the standard deviation (using LINEST function on excel) of the slope. I will now end up with 5 slope values...

The slope of y = x is 1. Why is this the case?

Why is the letter m used to represent slope? I would rather S for slope.

Show that the slope of the line passing through the two points (x, x^2) and (x + h, (x + h)^2) = 2x + h. Must I use m = delta(y)/delta(x)?

1. The problem statement, all variables Use this photo http://m.imgur.com/a/lQd9q Two masses are connected to two pulleys via ropes.The mass of the hung mass is 16kg and the mass of the object on the slope is 8kg the slope has an angle of 37 degrees. Pulleys 1 has a mas of 6 kg and Pulley 2...

Homework Statement You are sliding downhill a slope of 10% (what angle is that?). Calculate how the starting velocity of 10 km/h changes within the first 120 s. After that you try to climb up an icy hill with 5% slope. Is that possible? Homework Equations Vf = Vi +At The Attempt at a Solution...

In an AC circuit with only a capacitor this diagram represents the relation between the current and the voltage in it (the current leads the voltage by 90 degrees). and because: (I= dQ/dt) and ( Q=C*V) where: Q is the amount of charge, C is the capacitance and V is the potential difference...

Homework Statement A cart on an inclined plane is balanced by the weight w. All parts have negligible friction. Find the weight W of the cart using the principle of virtual work. Picture of set-up is attached.Homework Equations ∫Fdh = 0 for virtual displacement dh in statics F_p = W cos...

Homework Statement There is a steamroller with total mass 12000 kg on a 4° slope. It has 2 wheels (full homogeneous cylinders) with mass 3000 kg (each one 3000 kg) and diameter 1,2 m (radius 0,6 m). How big would the acceleration of the steamroller be if brakes got broken. Result: 0.56 m/s^2...

Homework Statement why we need to consider 2 conditions , the beam curve downwards ( as in 11-3) and beam curve upwards ( as in 11-4) ? What's the difference between 2 cases ? I notice that in both cases , the author assume clockwise as positive here are the 3 consecutive pages of notes...

Homework Statement In the link at 12:35 , the author show the equation of the displacement of the beam without explaining , can someone try to explain why we need to use 3 Φ , 2EI / L , 2θa and 2θB ? I have no idea at all . Homework EquationsThe Attempt at a Solution

I've volunteered for a project at my uni in which the objective is to develop a "green wave" system to sync traffic signals for cyclists. We have a specific location, but the idea is to build a general case that can be applied to any stretch of road. The brief is super vague and we didn't...

Homework Statement why the author said that by inspection , the maximum slope occur at D ? How do we know that ? He didnt show the working and explanation . Homework EquationsThe Attempt at a Solution If I consider the maximum slope to occur at a point after 2m from A , then i will take...

Homework Statement in the first photo , it's stated that the dy/dx at center = 0 , however , in the second photo (website) , it's stated that the dy/dx at the boundary = 0 ,which is correct ? I'm confused now http://www.geom.uiuc.edu/education/calc-init/static-beam/support.html Homework...

Homework Statement As in the diagram Homework EquationsThe Attempt at a Solution For part a ) , my ans is EI(d2y/dx2) = - Px For part b) , my ans is EI(dy/dx) = -P(x^2)/2 +c1 EIy = -P(x^3)/6 +c1x +c2 at x= 0 , y = 0 , so c2 = 0 , at x = 0 , dy/dx = 0 , so c1 = 0 , so , EIy = -P(x^3)/6 ...

They want the curve in inequality form which i am not sure if i got it right

Homework Statement A rope attached to a 19.0 kg wood sled pulls the sled up a 19.0° snow-covered hill. A 14.0 kg wood box rides on top of the sled. EDIT: the actual question to be answered, oops. What's the magnitude of the tension that will cause the box to slide? Mass of box (mb) = 14.0kg...

My professor shown us in class how to find the slope but I still don't understand

The limit below represents the slope of a curve y=​f(x) at the point​ (a,f(a)). Determine a​ f After finding the f(x) and a, I did this:8(3^2+3h(3)+3h(3)+h^2)-72 dividing by h getting h(8h^2+144) dividing by h; canceling the h's and the plugging in the limit h --> 0 getting 144. But I am...

Homework Statement find the slope of tangent line to curves cut from surface z = (3x^2) +(4y^2) - 6 by planes thru the point (1,1,1) and parallel to xz planes and yz planes ... Homework EquationsThe Attempt at a Solution slope of tnagent that parallel to xz planes is dz/dy , while the slope of...

Homework Statement The equation ## f(x,y) = f(a,b) ## defines a level curve through a point ## (a,b) ## where ## \nabla f(a,b) \neq \vec 0##. Use implicit differentiation and the chain rule to show that the slope of the line tangent to this curve at the point ##(a,b)## is ##-f_x(a,b)/f_y(a,b)##...

Homework Statement It's been a great day of new, frictionless snow. Julie starts at the top of the 60∘ slope shown in the figure (Figure 1) . At the bottom, a circular arc carries her through a 90∘ turn, and she then launches off a 3.0-m-high ramp. How far horizontally is her touchdown point...

Homework Statement "In Fig. 8-40, a block of mass ##m=12kg## is released from rest on a friction-less incline of angle ##\theta=\frac{\pi}{6}##. Below the block is a spring that can be compressed ##\frac{1}{50}m## by a force of ##270 N##. The block momentarily stops when it compresses the...

Hi PF! I have some data (y-value data and x-value data) which I can plot to make a curve (see attachment, the top curve). However, when trying to compute the slope of this data I have an issue (see attachment, the bottom "curve"). The formula I am using for slope is ##(y_{i+1}-y_{i-1})/(2...

Hello, I play bowls on outdoor grass greens. I studied physics in school, and I've been wondering how physics works on the bowls in different areas of the green. So for those who aren't familiar, you have a jack and a bowls. Jack is smaller and lighter, bowls larger and heavier. The bowling...

Homework Statement Find the slope of tangent line to curve that is intersection to the surface z= (x^2) - (y^2) with plane x =2 , at point (2,1,3) The ans given by the author is only∂z /∂y = -2 Homework EquationsThe Attempt at a Solution Is my diagram correct ? I'm wondering , why shouldn't...

I am trying to find the slope of the tangent line of this polar equation: r = 4 + sin theta, (4,0) I put the equation into wolfram alpha and it gives me a 3D plot. If someone could help me find the slope of the tangent line, I would really appreciate it. Thank you.

Is it to show rate of change mathematically and geometically as the tan(theta) of a line, and to apply it to calculus , physics etc.

The slope of a fitted line = Cov(X,Y)/Var(X). I've seen the derivation of this, and it is pretty straightforward, but I am still having trouble getting an intuitive grasp. The formula is extremely suggestive and it is bothering me that I can't quite see its significance. Perhaps, my mental...

I am trying to create a function of A and x which has the following properties. A is a scaling parameter that determines the shape of the function. I write the function below in f(A,x) form 1) f(A,1)=1 always 2) For all x>1, 0<f ' (x)<1 3) As A approaches some upper bound (which could be...

The graph of which of the following equations is a straight line parallel to the graph of 3y-1=2x? A: -3x + 2y = -2 B: -2x + y = 6 C: -2x + 2y = 3 D: -x + 3y = -2 Can you show the work when you answer please? Thanks

Hello everyone :alien: I have been assigned to create a physics problem involving bicycles. I thought up the following, but I had questions regarding if it was properly made / worked out. A cyclist is accelerating constantly up a slope at 1 m/s ^-2 The slope is at a 15 degree angle and is 30 m...

For the following question, how do we know that the acceleration of ##M## is constant over time? And is the normal contact force between the two masses smaller as compared to that where ##M## is fixed? The acceleration depends on the net force on ##M##, which depends on the normal contact...

Homework Statement I have some registration of sound gathered by hydrophone. Next I have created a power spectral density (dB re 1 Pa^2/Hz) vs frequency plot (semilog in matlab). And now I want to find spectral slope in dB/octave (one octave is log2(f2/f1). I suppose that I should calculate the...

Let ##\vec{a}## be the gravitational acceleration along the curve. Then ##|\vec{a}|=a=-g\sin\theta## and ##\vec{a}=a_x\,\vec{i}+a_y\,\vec{j}=-g\sin\theta\cos\theta\,\vec{i}-g\sin^2\theta\,\vec{j}## My question is why does the solution below ignore the direction of ##\vec{a}## and calculate...

Homework Statement truck moves oils (lubricating oil presumably) to gas stations. At full load the truck transportation cost is 300$ when the traveling distance is 120km and the transportation cost is 350$ when the traveling distance is 165km At this interval, the costs change linearly. You...

If a line intersects both points (2, 2) and (6, 7), determine its slope.

Homework Statement An armoured car with a mass of 5 tonnes is located on a smooth plane which is inclined at an angle of tan-1 (5/12) to the horizontal as shown in Figure Q3. A missile of mass 15kg is fired horizontally from this armoured car at 650m/s. Determine the velocity with which the...

What is the difference between slope w.r.t origin and slope at a point on the curve and when are they used ?

The curve y=x^4-2x^3-2x^2-2x has a bitangent. I need to find the equation of this line. First, I started off by computing the slope. Since it touches two points on the curve, their slopes should be the same. So, I have the equation 4x^3_1-6x^2_1-4x_1-2=4x^3_2-6x^2_2-4x_2-2 I got up to the point...

Homework Statement identifying the slope of the line?[/B] Homework Equations y2-y1/x2-x1 The Attempt at a Solution i chose two points on the line, the first point is (8,-3) and the second point is (-6,4). Are these points accurate? i used the slope equation to solve for the slope of the line...