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Location A is 2.80 m to the right of a point charge q. Location B lies on the same line and is 4.00 m to the right of the charge. The potential difference between the two locations is VB - VA = 45.0
He has his payroll check electronically deposited to his checking account-the payroll check was for $1,025.10. There was also a $4 teller fee and an $18 service charge. Prepare Kameron Gibson's
Ben's checkbook shows a balance of $1,395.28. Check No. 234 for $80.30 and check No. 235 for $28.55 were outstanding. Prepare Ben's bank reconciliation.
A Styrofoam box has a surface area of 0.81 m2 and a wall thickness of 2.0 cm. The temperature of the inner surface is 5.0°C, and the outside temperature is 25°C. If it takes 7.3 h for 5.0 kg
How much mass would have to be suspended from the vertical spring to stretch it the first 5.0 cm?
In which direction is the slope largest? What is the value of this slope? At what angle above the horizontal does the path in that direction begin?
What is the change in potential energy if the object in the attic is brought to the basement?
A rigid tank contains 1.50 moles of an ideal gas. Determine the number of moles of gas that must be withdrawn from the tank to lower the pressure of the gas from 29.2 atm to 5.20 atm.
Car A is travelling north at 90 km/h and car B is travelling west at 80 km/h. How fast is the distance between the cars changing when A is 0.3 km and B is 0.4 km from the intersection?
Use Bernoulli's equation to estimate the upward force on an airplane's wing if the average flow speed of air is 191 m/s above the wing and 160 m/s below the wing. The density of the air is 1.1 kg/m3
Estimate the volume of metal in a closed cylindrical can that is 10 cm high and 4 cm in diameter, if the metal in the top and base is 0.1 cm thick and the metal in the walls is 0.05 cm thick.
A certain pendulum consists of a 1.5-kg mass swinging at the end of a string (length =2.0 m). At the lowest point in the swing the tension in the string is equal to 20N. To what maximum height above
For each function f given below, find all points (a, b) at which fx(x, y) and fy(x, y) are both zero. Determine whether f(a, b) is a local maximum, a local minimum, or neither.
The only force actig on a 1.8-kg body as it moves along the x axis is given y F=-(3.0x) N, where x is in m. If the velocity of the body at x=0 is v(x)=+8.0m/s, at what value of x will the body have
What do the level curves look like? Prove that the rule for the surface of revolution thus obtained is z= f(√x2 + y2). Use this result to deduce that the equation x2+ y2+ 2x + 2y - z2+ 2 = 0 d
Sketch the curves given by the following parametric equations (find corresponding Cartesian equations if possible). In R3, x = 0, y = 3-3t, z = 2t, t ?R. Mark the points corresponding to t = 0, 1, -1.
Use the Mean Value Theorem to prove that at least one of us exceeded the speed limit, 100 km/h, by at least 10 km/h.
A point charge of 1μC is located at x = -3.0cm, and a second point charge of -11μC is located at x = 4.0cm. Where should the third charge of 6.0μC be placed so that the electric field at x
The function f is defined by f(x) = |x -1|. Sketch its graph. Observe that there is no value c such that f(3)-f(0) = f'(c)(3-0). Why does this not contradict the Mean Value Theorem?
Prove that if f is differentiable at a and f(a) 6= 0, then |f| is also differentiable at a. Give an example to show why the assumption f(a) 6= 0 is necessary.
Show that if f is continuous on the closed interval [a, b], then there is a function g which is continuous on R, and which satisfies g(x) = f(x) for all x in [a, b].
A wire loop of radius 0.50 m lies so that an external magnetic field of magnitude 0.30 T is perpendicular to the loop. The field reverses its direction, and its magnitude changes to 0.20 T in 2.0 s.
A 10.7g object moving to the right at 18.3 cm/s makes an elastic head-on collision with a 16.2g object moving in the opposite direction at 28.6 cm/s. What is the velocity of the 16.2g object after t
A mountaineer leaves home at 7am and walks to the top of the mountain, arriving at 7pm. Use the IVT to show that there is a point on the path that he will cross at exactly the same time of day on bo
The transformer supplying power to an artist's light sculpture provides 9600-V AC when supplied by 120-V AC. If there are 100 turns in the transformer's primary coil, how many turns are there in its