Show all of the steps that are needed to find the local maximum and minimum for the curve. Leave the results in exact form. y = In(x? – x + 1) – 1 %3D

Step 1 of 2: In your history class, you were told that the current population of Cyprus is approximately 5000 more than 6 times the population of Samoa. Using c to represent the population of Cyprus and s to represent the population of Samoa, write this in the form of an equation. Then solve your equation for s to find an equation representing the population of Samoa. Answer Keypad

How do I solve the following equation?

While painting his house one day, Mr. Cabana had a terrible accident! The bottom of the 20-foot ladder he was standing on started to slide away from the wall! a. Draw a diagram of this situation. Then write an equation that relates the sides of that shape in your diagram. b. Mr. Cabana wants to know how fast he is falling when the ladder is 10 feet above the ground. You need to help him solve this problem, but the equation you wrote in part (a) does not involve rates. What Calculus tools can you use to convert the equation in part (a) to a rate equation? c. Explain why the rate the ladder is sliding down the wall must be related to the rate that the foot of the ladder moving along the ground.