Please help me with my calculus homework. Please ensure the answer is done on a piece of paper and in full detail (has all steps). Please Ensure that the answer is not just written words but the solution/solving steps. Thanks a lot!

1. Draw a function such that s(0) = 0 and s approaches -infinity as t approaches infinity. It has a min at 1, a max at 3, and roots at 2 and 4. This graph is your s(t). Now draw in the velocity and acceleration graphs. S + 1 2 3 42.1 must get from A to B across a rectangular manmade pond. The pondis 4 km in width, and 10 km long. | doggie paddle 3 km/h in water and have a blazing speed of 6 km/h on land. Determine the location of point C on the opposite shore from A so that | can get from A to B as quickly as possible. Set up a function, use Calculus and prove results. (6 marks) 10 km % 4 km