HELLO! CAN YOU PLEASE SHOW YOUR WORK. PLEASE USE NEAT HANDWRITING WHEN SHOWING YOUR WORK. AND CIRCLE YOUR ANSWERS. DOO AL QUESTIONS!! I NEED THIS FINISHED BEFORE 11:00 PM

3. (3.10) A. Linearization: Let f(x) : =3]; . Use the linearization of f at x = 8 to estimate {/9 . a) 3/9 =5 2 b) 3/6 =3 3 C) 3 \"U E d) 3 H a 12 12 B. Differential The edge of a cube is measured to be 5 centimeters, with a maximum possible error of 0.2 centimeters. Use a differential to estimate the maximum error in calculating the volume of the cube. a) 75 cm\" b}. 15 cm3 c) 25 cm3 d) lem3 SEC 3.7, 3.9, 3.10 MATH 2211 NAME 3.7 Position, Velocity, Acceleration 1. A baseball tossed straight up reaches a height of: s(t)=l6tz +80t+6 players hand. where s is feet above the ground and t is seconds after leaving the Find the velocity and the acceleration of the baseball the moment it leaves the player's hand (use t=0}. 2. 3.9 Related Rates Piston compression A piston is seated at the top of a cylindrical chamber with radius 5 cm when it starts moving into the chamber at a constant speed of 3 cm /s (see figure). What is the rate of change of the volume of the cylinder when the piston is 2 cm from the base of the chamber? h: height of piston from cylinder 5 cm Piston base (cm) V: volume of cylinder (cm 3) T: time (s) R: 5 cm A. What rate are you given? B. What rate are you asked for? At what specific moment?C. What is the general equation D. Implicitly differentiate, Substitute, and solve: E. What is your final