I have collections of some questions in which I need help. Please provides me step by step detailed explanation so that it will be easy for me to learn.

and please provide graphs or diagrams for reference purposes.

and please please not provide handwritten work, provide me typed(typing) work.

I Find the exact xvalue where the functionfr) = :1: + Eng? _ 1) attains a maximum value.An estimated answer or a calculator answer will not earn any credit. 8. Using the Mean Value Theorem and Rolle's Theorem, showthat$3 + :1? _ 1 = f] has exactly one real root. 9.Iff(1) = 10ancl f'(;1:) Z 2for1 g St? S 4. how small canf(4) possibly be? 10. The graph of a function is given below. Determine the intervals on which the function is concave up and concave down. I 1. An airplane is flying towards a radar station at a constant height of 6 km above the ground. If the distance 5 between the airplane and the radar station is decreasing at a rate of 400 km per hour when s='| 0 km.. what is the horizontal speed of the plane? Make sure your answer includes units. 2. A boat is being pulled into a dock by a rope attached to it and passing through a pulley on the deck. positioned 6 meters higher than the boat. If the rope is being pulled in at a rate of 3 metersfsec. how fast is the boat approaching the dock when it is 8 meters from the dock? Make sure your answer includes units. 3. A girl is ying a kite on a string. The kite is 120 ft. above the ground and the wind is blowing the kite horizontally away from her at 6 ftlsec. At what rate must she let out the string when 130 ft of string has been released? Make sure your answer includes units. 4. Find the Linearization 0ff(7) = Sim}: ata = %. Provide your answer as LL35) =? 5. Use Linear Approximation to estimate EEO-01). Provide your answer in 2 decimal places. Do not use a calculator. Show work for credit. 6. Calculate the locations of maximums and minimums ofthe following functions: Show work in details. ' f($)=3:33:+2 ' f(?) =m48$2+3