Kindly answer all the questions .

Jill is building a right triangular shelf which will fit into the comer of a room. The shelf has sides x and y where x + y = 10. What is the largest area possible for the shelf given the constraints? Z X O A = 13.5 O A = 12.5 O A= 9.5 O A = 11.5Assume that an airplane is flying toward you at a constant height h = 1 mile and at a speed it = -20 miles/hr. h X When the plane is 2 miles away, what is the rate of change of 8? tan (A) = O de It -6 degrees/second O do d.t. = ( degrees/second O de dt 4 degrees/second O do = 4 degrees/secondFor the diagram shown: If the area of the inner region A - xy - 100, what equation will minimize the total area TA = (@ | 1)(y | 1)? x +1 X y +1 O TA = (* - 1) (120 - 1) O TA - (x + 1) (120 +1) O TA = (* | 1) (100 1 ) O TA= (* - 1) (+ +1)Given the triangle shown with base b and height h: Assume that b + h = 25; what formula will maximize the area of the triangle? Note: 3:2 : bf: + h? 0A:L2 0A=+E David is building a play area for his kids. They are learning their shapes and he wants it to be an isosceles triangle with base b an: weight h. He is restn'sted to dimensions such that b + h = 25. What is the maximum area of the Triangle\"? What dimensions will maximize the lateral surface area of an inverted cone, if V = 27 cm.? h r O r = 4.07, h = 5.86 O r = 2.63, h = 3.72 O r = 4.52, h = 3.75 O r = 4.50, h = 3.50Assume that an airplane is flying toward you at a constant height of 2 miles and at a speed of 100 miles per hour. When the plane is 20 miles away, what is the rate of change of 0? h cot. (0) - dt do = .25 degree/hr d# = 0.5 degree/hr dt. de = -0.5 degree/hr do = 0.45 degree/hr