0 / 10 points Evaluate the following integral in two ways. So sin(x)In(cos(x) ) dx a.) Evaluate using substitution. b.) Evaluate using integration by parts. Show all steps. Upload your work for this problem only. 2 0 / 1 point Evaluate the following integral with integration by parts. dx x+1 Show all steps. Upload your work to this problem only. Suppose you start with one liter of vinegar and repeatedly remove 0.07L, replace with water, mix, and repeat. a. Find a formula for the concentration after n steps. b. After how many steps does the mixture contain less than 14% vinegar? Write an explicit formula for the sequence: 1 1 11 1 3' -4'5' 6'7' 8'' an Question Hale. B) Written Example M Message instructor Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues. 6 6 6 6 6 4' 16' 64' 256' 1024' Assume the first term is a1 an " Let Sk =) 1 n! Find S4. Enter exact values, not an approximation. Question Help: Video Written Example Message instructor Submit Question Question 5 Co/1 pt 9 20 @ Details A Super Happy Fun Ball is dropped from a height of 16 feet and rebounds _ of the distance from which it fell. a.) How many times will it bounce before its rebound is less than 1 foot? Enter an integer. It will bounce times before its rebound is less than 1 foot. b. ) How far will the ball travel before it comes to rest on the ground? Express your answer as an integer or reduced fraction. It will travel feet before it comes to rest on the ground. Help: Video @ Written Example Message instructor