03/06/22

consider the differential equation dy/dx=3x^2/e^2y
(a) find a solution y=f(x) to the differential equation satisfying f(0)=1/2(b) find the domain and range of the function f found in part (a)
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03/06/22

the function f is differential for all real numbers. the point (3, 1/4) is on the rap of y=f(x), and the slope at each point (x,y) on the graph is given by dy/dx=y^2(6-2x)
find y=f(x) by solving the differential equation dy/dx=y^2(6-2x) with the initial condition f(3)=1/4.
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03/06/22

write any information given about the amount of water in the tank at a specific time.

water is pumped into an underground tank at a constant rate of 8 gallons per minute. water leaks out of the tank at the rate of √t+1 gallons per minute, for 0≤t≤120 minutes. At time t=0, the tank... more
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02/28/22

Calculus Question
The half-life of cesium-137 is 30 years. Suppose we have a 150-mg sample.(a) Find the mass that remains after t years.y(t) =  ______ mg(b) How much of the sample remains after 120 years? (Round... more
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02/28/22

AP Physics C E and M
The electric potential V in a region of space is given as a function of positions x by the equation V = 6x−4x2 , where V is in volts and x is in meters.Find the magnitude of the electric field at... more
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02/28/22

AP Physics C E and M
Two point charges of 3.4 μC and 6.6μC are 0.10 m apart. Find the electric potential at the point midway between the two point charges?
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02/28/22

calculus - derivatives
Let f(x) = x^2 sin( 1/x ). Find the equation of the tangent line at x = 2/π
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02/28/22

2d momentum /physics

A 3520 kg truck moving north at16.0 m/s makes an INELASTICcollision with an 1480 kg carmoving 21.0 m/s east. What is themagnitude of their (joint) velocityafter the collision?Could someone plz... more
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02/28/22

Calculus Question
A sample of a radioactive substance decayed to 93.5% of its original amount after a year. (Round your answers to two decimal places.)(a) What is the half-life of the substance?_____ yr(b) How long... more
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02/21/22

Angular Momentum
A door has a mass of 25.8 kg, andextends 0.637 m from the hinges. Ifyou give it 1.95 kg•m7/s of angularmomentum, what is its angularvelocity?[? ] rad/s
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02/21/22

what is the limit of the graph
what is lim (fx) and Iim (fx) ? would it be 1 and -4? x → 0 x → 2
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02/20/22

A car of mass m, going with velocity v0 is suddenly stopped. What is the work done by friction
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02/20/22

What will be the velocity of initially still cart of mass M, after someone of mass m jumped on it with velocity v0?
How to derive v for this problem?
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02/20/22

Define and Interpret Linear

At a manufacturer, c pounds of concrete are made by adding w gallons of water to a cement mixture. If w=c+5, how many additional gallons of water are needed to make each additional pound of... more
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02/20/22

Nina went to the restaurant traveling 9 mph and returned home traveling 15 mph. If the total trip took 8 hours, how long did Nina travel at each speed? hours at 9 mph? hours at 15 mph?
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02/19/22

Solve over the integers
Is there a way to solve an equation like this over the integers. (ay+b)/(cy+1)=d
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12/16/21

A 40 kg little girl is at the top of an amusement park slide. 
A 40 kg little girl is at the top of an amusement park slide. The slide is 20.0 m long and is inclined to an angle of 30o. She slides down from rest and reaches the bottom having “lost” 68% of her... more
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12/16/21

what is the angular acceleration?
A block of mass M = 10 kg is connected to another block of mass m = 5 kg via cylindrical pully of mass 20 kg and radius 8 cm. The blocks are on frictionless inclines. Find angular acceleration of... more
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12/16/21

Circular motion
A plane is driving in a circular loop with Radius 1km. In the top(plane is upside down) and the bottom, plane drives with a constant speed of 540km/h. Find the weight of the pilot at the top and at... more
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01/19/21

Rotational Kinematics
Initially, a wheel rotating about a fixed axis at a constant angular deceleration of 0.3 rad/s 2 has an angular velocity of 0 rad/s and an angular position of 8.6 rad. What is the angular position... more
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06/30/20

Find a plane through P (2,1,1) and perpendicular to the line of intersection of the planes: 2x+y-z = 3 and x+2y+z = 2.
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06/18/20

what is mutual induction in the following question?
Two coils are placed close together in a physics lab to demonstrate Faraday’s law of induction. A current of 5.00 A in one is switched off in 1.00 ms, inducing a 9.00 V emf in the other. What is... more
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06/14/20

Need some help understanding this question
Please help me understand this calculus 2 u substution question it confuses me
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06/07/20

Please round your answer to the nearest integer. A 2,267 lb car is equally supported by its 4 tires, which are inflated to a pressure of 1 bar. What area of each tire is in contact with the road?
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06/07/20

A cube of gold 33 mm (about the size of an ice cube) long on each edge is worth about $23,300. If that is its value, how much is a gram of gold worth?
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