Learning Task 7: Create a maximum volume of an open-top box. Tasks: EDUR 1. Create an open-top box using a 1% illustration board. Make sure that you will be creating the maximum volume of a box. 2. To create a box, you will be removing a square from each corner of the box and folding up the flaps on each side. 3. Use the concept of problems involving optimization to get the maximum volume of the box. 4. Explain why you arrive with your final output of creating a maximum vol- ume of an open-top box. RZ 5. Show your solution on a short bond paper. B Note: Just draw a 30 illustrationLearning Task 3: Read each item carefully. Show all necessary solutions in solv- ing. 1. Find the derivative of the following using implicit differentiation. a. x2 ty? = xty b. x2 + xy3 = x c. y = sec(x+ y) d. x cosy + y sin x - 1 = 0 e. 3 X - 2 X 2. What is the slope of the line tangent to the curve 8x3 - y2 = 4 at the point (1,-2)? 3. What is the equation of the normal line to the curve 2x3 + 2y3 -9xy = 2 at the point (0,1)