1. Car A is 40 km east of Car B and begins moving west at 40 km/h. At the same moment, Car B begins to move north at 70 km/h. What is the closest distance in kilometres the cars will be from each other and at what time (, in hours, will that distance occur?[/A10]Optimization - Algorithm 1. Read and understand the problems text 2. Draw a diagram (if necessary). 3. Assign variables to the quantities involved and state restrictions according to the situation. 4. Write relations between these variables. 5. Identify the variable that is minimized or maximized. This is the dependent variable 6. Use the other relations (called constraints) to express the dependent variable (the one which is minimized or maximized) as a function of one single variable (the independent variable). 7. Find extrema (maximum or minimum) for the dependant variable (using global extrema algorithm, first or second derivative test). 8. Check if extrema satisfy the conditions of the application. 9. Find the value of other variables at extrema (if necessary). 10. Write the conclusion statement.For full marks, you need to show for each question: Full solution Final statement Graphs should be clearly labeled For some questions, figures are needed - Clearly label clearly your variables. State their domain and/or restrictions For the optimization problems, clearly show/explain how you got the function you optimize