For the function f, given below, find the antiderivative F that satisfies F(1) = 1. f(x)=x7 -5x_2 + 2 The antiderivative that satisfies the given condition is F(x) = For the following function f, find the antiderivative F that satisfies the given condition. f(x) = 8x+ 9 sin x, F(0) = 4 The antiderivative that satisfies the given condition is F(x) =For the following function f, find the antiderivative F that satisfies the given condition. f(v) = 6 sec vtan v, F(0) = 2, - 2 0 The solution of the initial value problem is 1x) = Given the following acceleration function of an object moving along a line, find the position function with the given initial velocity and position. a(t) = - 20; v(0) = 22, s(0) = 0 . . . s(t) = (Type an expression using t as the variable.)Given the following acceleration function of an object moving along a line, find the position function with the given initial velocity and position. a(t) = 0.6t; v(0) = 0, s(0) = 1 . . . s(t) = (Type an expression using t as the variable.)Find the function F that satisfies the following differential equation and initial conditions. F\"(x)= 1, F'(0)= 20, Fun): 15 The function is F(x}= Find the function F that satisfies the following differential equations and initial conditions. F\"(x) = cos x, F'(1t)= s, F(at) = 4 F(X) (Type an exact answer in terms Of.)