(1 point) T Let g(x) = VI + of di. Use the Fundamental Theorem of Calculus to find g'(x). E (x) = XV1+ 6Use the Fundamental Theorem of Calculus to evaluate (if it exists) 24+12 du. 343 If the integral does not exist, type "DNE" as your answer. (2+1 )An object is thrown straight up with a velocity, in ft/s, given by v() = -32f + 57, where f is in seconds, from a height of 18 feet. a) What is the object's initial velocity? ? b) What is the object's maximum velocity? ? c) What is the object's maximum displacement? ? d) When does the maximum displacement occur? ? e) When is the object's displacement 0? ? f) What is the object's maximum height? ?1." ( a v4+ 2F ) d using the Fundamental Theorem of Calculus. You will need accuracy to at least 4 decimal places for your numerical answer to be accepted. You can also leave your answer as an algebraic expression involving square roots. 12 ( # V4+ 2#) dt =Use the Fundamental Theorem of Calculus to evaluate (if it exists) 5 dx. -5 If the integral does not exist, type "DNE" as your answer.Use the Fundamental Theorem of Calculus to evaluate (if it exists) dx. If the integral does not exist, type "DNE" as your