Integration True or False! Need help math experts?

Please explain to me whether the statement below are true or false:


1. If F(x) is an antiderivative of f(x), then y = F(x) is a solution to the


differential equation dy/dx = f(x).


2. If y =F(x) is a solution to the differential equation dy/dx = f(x),


then F(x) is an antiderivative of f(x)


3. If an object has constant nonzero acceleration, then the position


of the object as a function of time is a quadratic polynomial.





Thanks for all the help!Integration True or False! Need help math experts?
All are true. For the last one,


suppose acceleration = a.


Then the velocity is at + c


and the position is at^2/2 + ct + d,


where c and d are constants.Integration True or False! Need help math experts?
1.true





2.true





3.true

hair dresser cut