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a. Find the work done by the Friction force

A 2 kg rock falls 10 meters to the ground. How much work does gravity do during

the fall? The same 2 kg rock slides down a frictionless hill angled 53.13° to the

horizontal. How much work does gravity do in this situation?

If a 10 kg block moving at 20 m/s slides along a rough, level surface, how much

work must be done by friction to bring it to a stop if µ = 0.2? How much if µ = 0.5?

How much work must be done to cut its speed in half if µ = 0.5? How much energy

remains in the block in after its speed is cut in half?

How much work is done by a 2N force pushing a 5kg mass 30 meters? How much work is done if the object is only 2kg?

If I have an integral from 0 to infinite of 4x^2. I know that it will be 4x^3/3, but I still have to find F(infinite) - F(0). The part that everyone keeps skipping is how do I find F(infinite)! Thats all I want to know, nothing else

A. Find the marginal pdf's of X and Y

(I don't know if you guys are familiar with these kinda problems in statistic but all this means is to integrate)

f1(X)= integral from -infinite to infinite f(x,y) dy

so I would have to solve the integral of 12e^-4x-3y dy. When integrating it I got -4e^-4x-3y but what I'm really confused is what would be the range of the integral if the problem says "x>0, y>0" because in the practice problems I'm use to seeing it say "0<x<1" and then I would integrate from 0 to 1.

For example, if f(x)= 2x^2 +3x when

0<x<1,

you would have to integrate from 0 to 1

but if it was f(x)=2x^2 +3x when x>0,

what would I integrate?

A car traveling along a straight road with a velocity of 10 m/s. It begins to uniformly acclerate and covers a distance of 300 meters in 5 seconds. What is the magnitude of the acceleration?

What I did was assume that 10m/s was the initial velocity and that the final velocity was 300/5 which is 60 m/s. Then I used the acceleration formula:

a = Final Velocity - Initial Velocity / time

I got 10 m/s^2 but in the solutions it says 20 m/s^2 please help

If the three cars to test drive are randomly chosen, what is the probability that all three are new?

Please show how you did this conceptually

(a) Find the probabiliy that the outcome is HTTH in that order

(b) Find the probability that exactly two heads are obtained

The customer wants to test drive only three of them. Suppose six of the models are new and the other three models are used. If the three cars to test drive are randomly chosen, what is the probability that all three are new?

can you please show me how you got your answer please

If an interger is randomly chosen from the frist 50 positive intergers, what is the probability tha the chosen interger will be a 2 digit number?

Wouldn't it be:

41/50??

Write an integral that represents the lenght of the curve y = sin (x) for 0 < or equal to x < or eqaul to pi

Use Simpson's rule with n = 4 to approximate the value of the integral

Please show me how you did this

A large tank of canola oil ruptures at a time t=0 minutes, and the oil leaks out at a rate of r(t) = 100e^-0.01t liters per minute.

How much oil leaks out within the first hour

Melissa has moved to Australia to become an emu rancher. She has acquired a square plot of

land 1 km by 1 km, with an emu house located at the center of the southern edge. The emus

are outfitted with special tracking devices that must remain no more than 1 km from the emu

house, so the northern border of the ranch has a fence which is part of a circle. Calculate the

area within the fence.

http://www.math.stonybrook.edu/~scott/mat126.fall1...

integral 0 to t 7e^s sin( t-s ) ds

First make a substitution and then use integration by parts to evaluate the integral. (Use C for the constant of integration.)

I know how to do u substitution and integration by parts but I can t figure how to do this, please explain if you can

the integral sin^2x / sec(x)-sec(x)cos^2(x)