can you help me out with these questions pls

Applications f 13. A Norman window has the shape of a rectangle capped by a semicircular region. If the perimeter of the window is 8 m, find the width of the window that will admit the greatest amount of light. 14. A boat leaves a dock at noon and heads West at a speed of 25 km Another boat heads North at 20 km h and reaches the same dock at 1:00 pm. When were the two boats closest to each other? 15. Find the largest possible volume of a right circular cylinder that is inscribed in a sphere of radius "r". 16. A 1 km racetrack is to be built with two straight sides and semicircles at the ends. Find the dimensions of the track that encloses the maximum area. 17. Find the lengths of the sides of an isosceles triangle which has a perimeter of 12 m and a maximum area. 18. A Gable window has the form of a rectangle topped by an equilateral triangle, the sides of which are equal to the width of the rectangle. Find the maximum area of the window if the perimeter is 600 m. 19. Find the dimensions and area of the largest rectangle having its two lower corners on the x-axis and its 536