The velocity of an airplane at takeoff, starting from a full stop, is given by the function v(t): 70t2 %3D 2t +3 measured in feet per second. Find the acceleration of the plane at (a) 6 seconds, and (b) 9 seconds, using appropriate units.

Q: Find the rate of change of: h(x)=-3x+4

A:

Q: The following equation represents the relationship between hours of TV watched per day (x) and the…

A: Given dataŷ = -0.944x + 24.52x is the hours of TV watched per dayŷ is the number of situpspredicting…

Q: Martin is inflating a balloon. For a balloon of radius r, the volume is V = 4/3pi(r)2. At the moment…

A: Given, Volume of balloon is V=43πr3 r is balloon radius in inches. To find, dVdt=? when r=6 inches.

Q: Newton's Law of Cooling says that the temperature of a cooling substance is T = A + (T, – A)e*t, A…

A:

Q: The concentration, c, of a drug in the bloodstream t hours after the drug was 5t taken orally is…

A:

Q: The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the…

A: Given that the height of the pebble above the water surface after t seconds is y=285-16t2 and t=2.…

Q: M/12 = 2.7 Show your work!

A: Given:-M12=2.7To find: value of M

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.