Slope Definition and 787 Threads

Homework Statement What can you conclude about average slope between two points and the slopes of the individual line segments on which the points lie? Homework Equations The Attempt at a Solution I thought that the average slope slope numerical answer is in between the slopes...

Homework Statement What can you conclude about average slope between two points and the slopes of the individual line segments on which the points lie? Homework Equations The Attempt at a Solution I thought that the average slope slope numerical answer is in between the slopes of...

What is the defining equation of the concept of slope? I thought it could be rise / run = m or Y2-Y1 / X2-X1 = m but then the next question asks to give the two common forms of the mathematical equation for slope involving X and Y? So would that not be those two equations?

Homework Statement A block with a mass of 4 kg slides from rest a distance of 2 m down a frictionless inclined plane where it encounters a spring. It compresses the spring a distance 1.4 m before stopping. The inclined plane makes an angle q = 35° with the horizontal. What is the value of...

Homework Statement Consider the following curve. y = 4 + 4x2 - 2x3. (a) Find the slope of the tangent to the curve at the point where x = a. Homework Equations m=y(a+h) - y(a)/h The Attempt at a Solution 1. m=y(a+h) - y(a)/h = -a^3-a^2+3ah+h^2-4 2. 6a^2 3. -6a^2+8a I know the derivative is...

Homework Statement Find an equation for the tangent to the curve at the given point. Then sketch the curve and tangent together Homework Equations y=3-x^2 (-1,2) The Attempt at a Solution slope = f(x + h) + f(x) / h f(-1 + h) + 2 / h 3- (-x + h)^2 + 2 / h 3 - 1 + 2h + H^2 + 2...

Homework Statement When question is asked: "How close is the slope (from an X-t graph) you calculated and the value actually displayed on the graph?"---does this mean you simply subtract your calculated velocity(slope of X-t graph) from the slope actually given on the graph? Homework...

Mechanical Energy question (Skier going down a slope...confusing!) First of all, I apologize ahead of time if my question seems to be really simple, but I have been working on it for at least two hours and still no progress (which is why this post made so late lol). My class has been working on...

Homework Statement Find the slope(s) of the tangent at x = 1 for 2y^2 - xy -x^2 = 0 Homework Equations The Attempt at a Solution Ive figured the derivative to be 2x+4/4y+x But I don't know how to make this equation work to find a y value so I can find the slope. I tried...

Homework Statement Mass of 22kg on a 45o to the horizontal. \mus = 0.78 \muk = 0.65 Determine the magnitude of the largest force that can be applied upward parallel to the ramp to have the box remain at rest. AND Determine the magnitude of the smallest force applied to the top of the box...

Homework Statement A 15 kg mass is sliding at 30 m/s when it encounters a slope (smooth=no friction) and descends 60 m. It encounters a horizontal rough stretch (friction = 80N in opp. direction). Calculate the velocity at x=0 (rough stretch starts here), x=50, x=100, x=200. Calculate...

Homework Statement Find the slope of the tangent to y=3x2 - 6x at x = 2 by first determining the derivative of the function from first principles Homework Equations f(x+h)-f(x) / h The Attempt at a Solution For the derivative I got -6x and the slope of the tangent is -12...

Homework Statement Function defined as: y = The integral from 0 to x2 of 1 / (1 - Sqrt(t) + t) There exists a point where the slope of the tangeant is = -2. Find the x coordinate at this point. Homework Equations Fundemental Theorem of Calculus The Attempt at a Solution...

Homework Statement Determine the points on the ellipse x^2 a 2y^2=1 where the tangent line has a slope of 1 Homework Equations I'm able to solve problems when given points and asked to find equations of the tangent lines. However, I'm struggling to do the inverse. The Attempt at a Solution...

Homework Statement What is represented by the slope of a Force vs. Distance graph? Also, if I had a Force vs. Distance graph and knew my initial velocity was some value, how would I go about finding the velocity at any distance along the way? Homework Equations F=ma W=Fd v=d/t...

I am looking for methods to calculate the error in a slope. the caveat is that my values themselves are averages with a STDEV. E.g. x 1+-1% 2+-1% 3+-1% y 0.14+-0.01 0.27+-0.02 0.42+-0.02 (using...

in the following question, a box with a mass of m is tied to a pole at the top of a slope with an incline of (alpha), the whole slope accelerated at "a", find the tension "T" in the rope. http://picasaweb.google.com/devanlevin/DropBox?authkey=sbH95pBl_D8#5273613370813875458 what i did...

as in the diagram below, mass m1 is placed above mass m2 on a sloped incline with an angle of b degrees. the frictional coefficient between the two masses is C1 and the coeficient between mass 2 and the slope is C2. find the acceleration of the masses...

I want to implement a dual slope ADC practically as my project of Digital logic design subject. what are the hardware components I need to implement that ADC? thanks

[b]1. A box mass m=1 kg is pushed up an incline of an angle theta=30 degrees that has a coefficient of kinetic friction u_k=.5. Find the velocity of the object after it pushed for d=2m by a force of magnitude F=11N directed upward alone the incline. W_g=m*g*d*cos(90+theta) W_constant...

Homework Statement A certain non-uniform but cylindrically symmetric cylinder has mass 9 kg, radius 1.2 m, and moment of inertia about the center of mass 7.6 kg m2. It rolls without slipping down a rough 20° incline. What is the acceleration of the cylinder's center-of-mass...

Homework Statement A spring (80 N/m) has an equilibrium length of 1.00 m. The spring is compressed to a length of 0.50 m and a mass of 2.2 kg is placed at its free end on a frictionless slope which makes an angle of 41 degrees with respect to the horizontal. The spring is then released...

Homework Statement A child sits on a sled that rests on a snow-covered hill making an angle of 30 degree with the horizontal. The mass of the child and sled is 50 kg. if the coefficient of friction is 0.15, what is the acceleation of the sled down the hill? Homework Equations I'm trying...

Friction up a slope (HELP!) 1. A sled weighing 80N rests ona plane inclines at angle 20 degrees to the horizontal. Between the sled and the plane, the coefficient of static friction is .25 and of kinetic friction is .15. A.) what is the least magnitude of the force F parrallel to the flane...

A grocery cart is being pushed with a force of 450 N at an angle of 30.0 degrees to the horizontal. If the mass of the groceries is 42 Kg, (a) Calaculate the force of friction if the coefficient is 0.60. Alright guys I have been doing this problem for around two hours. My physics teacher isn't...

Objects on a Slope -- Pretty Easy This is a modified version of a physics problem for my HW. We were to find the mass an item had to be to "go down" a slope and go up. However, the slopes were not even so a larger mass one side did not necessarily mean the "heavier" side slid down. So I made...

Homework Statement so given the formula T=(√((4π^2 m)/Mg)) √l+0 which is y=mx+b m being (√((4π^2 m)/Mg)) and x being √l what is the unit of the slope?? The Attempt at a Solution So the kgs cross out in the mass and we are just left with the units of g which is m/s^2...

**Sorry the latex didn't really work for me.** Homework Statement In the figure below, m1 = 3.6 kg, m2 = 5.1 kg, and the coefficient of kinetic friction between the inclined plane and the 3.6-kg block is μk = 0.25. Find the magnitude of the acceleration of the masses. m1 = 3.6 kg m2 =...

I am doing a lab report, but this isn't a homework question per se... I just wanted to know what the best way of calculating an error for a slope is. I am doing a Continuous Wave NMR lab and took some data with estimated uncertainties, and need to know how to propagate them into an error...

Help! please what motion is occurring when the slope of a distance vs. time graph is zero Homework Statement slope of a distance vs. time graps is zero and constant and changeing slope of a velocity vs. time graph is zero and constant what types of distances are there? Homework Equations...

Homework Statement A man pushes a create which weighs 75 N upward along a frictionless slope that makes an angle of 30° with the horizontal. The force he exerts is parallel to the slope. If the speed of the crate increases at a rate of 0.5m/s^2, then the work done by the man while moving the...

Homework Statement Find the slope of the tangent line to the curve y=x3 at point (-1,-1) (i) Using Definition 1 m=limx-->a\frac{f(x)-f(a)}{x-a} (i) Using Equation 2 m=limh-->0\frac{f(a+h)-f(a)}{h} Homework Equations The Attempt at a Solution For the first one, I got as far...

Homework Statement A projectile is launched at an angle 45 degrees above the horizon with a velocity of 30 m/s. It is launched at the base of a constant slope, which has an angle of 30 degrees. a- How much time did it take for the projectile to hit the slope? b- Where did the projectile...

EDIT: Ugh... I meant "calculating", of course. This is an assignment that was due on the 16th. It's already been handed in, I just need some help with a question that I obviously was not able to answer in due time. I am coming back from a long, long hiatus from my academic pursuits and so some...

Find the slope of the functions graph at the given point. F(x) = x / x-2 point (3,3) f(x+h) - f(x) / h is what we have to use to find the answer. so I've plugged it all in and have came to this.. ((3+h) / (3+h-2)) - 3 / h I need some help with my simplification...

A 4000 truck is parked on a 15 slope.

Homework Statement http://img214.imageshack.us/img214/4673/mathproblemnw5.png Homework Equations lim x->a\frac{f(a+h)-f(a)}{h} The Attempt at a Solution Ive tried so many times to figure this out. I first substituted the equation into the formula above and multiplied by the...

Hey Everyone, Another question for you. Is there a way to find the point on a slope at a certain distance? For example, suppose I had a slope that was previously calculated from point A to point B. I want to find at what point Y is at distance X. Does that make sense?

Homework Statement Right so I have the following scenario: An archer shoots an arrow upward a slope of angle \alpha, the angle between the arrows trajectory and the horizontal plane is denoted \theta The arrows speed in the direction in which it is fired is denoted V_0 as shown in this...

Sorry if this question is too simple and shouldn't be posted here. How does slope relate to degree angles? For example , a degree of 1 means a slope of 1/57.29, and a degree of 2 means a slope of 1/28.9916, and a degree of 3 means a slope of 19.08109. and the slope just keeps getting...

Homework Statement Find all points on the graph of the function f(x)=2sinx+sin^2x at which the tangent line is horizontal. Homework Equations - Power rule - Chain rule - Product rule? The Attempt at a Solution So I want all points at which the tangent line to this...

the toy car gains energy by pushin down the "head" of the "driver" and is powered by a spring that powers the wheels. at different heights, it has different spring constant. I mean the slope's angles are changed at different periods of the experiment. I am unable to work out the spring constant...

Is there a direction where the rate of change is 18, at the point (-1,2) on the function f(x,y) = (x^2)(y^3)+xy? So I found the gradient of this function, picked a random direction vector u = ( a / (a^2+b^2)^(1/2) , b / (a^2+b^2)^(1/2) ) and took the dot product, and set it to 18... however...

Homework Statement (x - h)^2 + (y - k)^2 = r^2 where h,k and r are constants The Attempt at a Solution \begin{array}{l} \frac{d}{{dx}}\left[ {(x - h)^2 + (y - k)^2 } \right] = \frac{d}{{dx}}r^2 \\ 2(x - h) + 2\frac{{dy}}{{dx}}(y - k) = 0 \\ \Rightarrow \frac{{dy}}{{dx}}...

THE PROBLEM: A sports car is accelerating up a hill that rises 21.2 ° above the horizontal. The coefficient of static friction between the wheels and the road is μs = 0.880. It is the static frictional force that propels the car forward. (a) What is the magnitude of the maximum acceleration...

Homework Statement At the instant shown, the block is moving down the slope. What is the acceleration up the slope if the kinetic coefficient of friction is 0.4? the relevant diagram is attached and shows a pulley with one end connected to a wall and the other end pulling with a force of 42N...

I'm trying to find out how to see if my brakes will lock up or my tires will continue to roll through the following scenario. I have a machine that weighs 42,000 lbs. I'm pulling a 110,00 lbs trailer with load (no brakes on the trailer). This is a rubber tired machine going down a 8 degree...

If two cars were at the top of a uniform slope, and the cars are identical in every way other than their mass, which one would reach the bottom first? and why? This is an argument that lasted all the way from inverness to dundee, and still hasn't been settled, even though there are about 100...

Help my guys. I'm so hopelessly lost on this question... Problem: Determine the equation of the tangent to the graph of y=ln x that has slope e. The answer in the book is y=ex-2. Please help. :smile:

I have a question that i am struggling to come to terms with. I know how to get the answer but i am not 100% sure why what i am doing works. The question : A smooth plane is inclined at X degrees to the horizontal. A block of mass 5KG is held at rest on the plane by a horizontal force...