calculus
find the absolute minimum and maximum valies of f(x)=-x^4+2x^3+5 on the interval [-2,2]
calculus
if a ball is thrown vertically upward with an initial velocity of 48 ft/s, then its height, s, after t seconds is given by s(t)= 48t-16t^2. a) what is the velocity of the ball after 1 second? b) when does the ball hit the ground? c) with what velocity does the ball hit the gro...
Physics
On a banked race track, the smallest circular path on which cars can move has a radius of 119 m, while the largest has a radius 155 m, as the drawing illustrates. The height of the outer wall is 18 m. (a) Find the smallest speed at which cars can move on this track without rel...
Physics
An 855-kg race car can drive around an unbanked turn at a maximum speed of 61 m/s without slipping. The turn has a radius of curvature of 165 m. Air flowing over the car's wing exerts a downward-pointing force (called the downforce) of 10900 N on the car. (a) What is the c...
Physics
A block is hung by a string from the inside roof of a van. When the van goes straight ahead at a speed of 20 m/s, the block hangs vertically down. But when the van maintains this same speed around an unbanked curve (radius = 165 m), the block swings toward the outside of the c...
Physics
The large blade of a helicopter is rotating in a horizontal circle. The length of the blade is 5.2 m, measured from its tip to the center of the circle. Find the ratio of the centripetal acceleration a1 at the end of the blade to the centripetal acceleration a2 which exists at...
Physics
A satellite has a mass of 6135 kg and is in a circular orbit 3.80 105 m above the surface of a planet. The period of the orbit is 2.08 hours. The radius of the planet is 3.85 106 m. What would be the true weight of the satellite if it were at rest on the planet's surface? W=
Physics
A satellite is in a circular orbit about the earth (ME = 5.98 1024 kg). The period of the satellite is 3.70 104 s. What is the speed at which the satellite travels?
Physics
Elle is pushing a box of mass 7.0 kilograms with the force of 25 newtons. If the force of friction is 2.6 newtons, what is the value of acceleration of the box?
science
how much of a 0.225 M KCl solution contains 55.8g of KCl
For Further Reading
