Find the limit. Use l'Hospital's Rule where appropriate. If l'Hospital's Rule does not apply, explain why. x (a) lim- x0 1cos x In x (b) lim- (c) lim xln 14---) X Find the most general antiderivative of the function: f(x)= 5x-4x + 3x x A particle is moving with the given data. Find the position of the particle. a(t) = 3 cost-2 sint, s(0) = 0 and v(0) = 4 Find two positive integers such that the sum of the first number and four times the second number is 1000 and the product of the numbers is as large as possible.