Please write explanation. For #2 pls write x > 3 or x

2. 4. 20 6 meters and radius 4 meters at a rate of 8 m ' TO 1" Identify all values of ::1 for which the function _f(:1 :) :1"1 + 6.1:3 + 12.1:2 + 6:1: + 2 is concave down. Use interval notation for your answer. "Calculate if 1 and 1; are related by the following equations given below. Here both variables :1 and 1,1 will likely appear in your answer. (a)(T-i1)EISin(il' +11): :1' + (os(;1j) (b) l 11)) 111(1) + 1110/) : 1" +!/ (c) ( 7.1)) .1 (115 + y) a1':(si11(1/+ 1) 1.'100 (On this problem you may need to look up the derivative of a1rsi11(.1). I am explicitly not telling you because it is a genuinely useful skill to be able to learn to nd mathematical information on the internet yourself Water pours into a conical tank (with tip touching the ground) which has total height min volume inrzh.) Feel free to not do arithmetic. At What rate is the water rising when the height is 5 meters high? (Hint: Use the fact that any cone of height h and radius 1 has