Home > Math 261 Calc | Summer 2023 > Assessment 3.5 Progress saved Done VOCO Score: 5.33/9 5/9 answered .Question 6 0/1 pt 9 5 0 Details A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 6 - x2. What are the dimensions of such a rectangle with the greatest possible area? Width = Height = Question Help: Video Submit QuestionHome 2: Math 261 Calc | Summer 2023 2: Assessment 3. 5 Score: 5.3319 5:"? answered Progress saved Done a 15' 0 Question 7 v E on pt '0 5 G) Details A piece of cardboard measuring 8 inches by 12 inches is formed into an open-top box by cutting squares with side length it from each corner and folding up the sides. Find a formula for the volume of the box in terms of z W) = :l Find the value for x that will maximize the volume of the box Question Help: El Video Submit Question Home > Math 261 Calc | Summer 2023 > Assessment 3.5 Progresssaved Done a 115' Score: 5.33:\"? 5."? answered 0 Question 3 v E 0.33:1 pt '0 5 G) Details Acylinder shaped can needs to be constructed to hold 300 cubic centimeters of soup. The material for the sides of the can costs 0.04 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.05 cents per square centimeter. Find the dimensions for the can that will minimize production cost. Helpful information: h: height of can, r: radius of can Volume of a cylinder: V = th Area of the sides: A = QWh Area of the topi'bottom: A = 7W2 To minimize the cost of the can: Radius of the can: |_| Height of the can: || Minimum cost: ' I cents Question Help: [E] Video OUISE.' ra \"e00 Home > Math 261 Calc I Summer 2023 > Assessment 3.5 Progress saved Done a {0' Score: 5.33:\"? 5.-"9 answered . Question 9 T a 0!] pt '0 5 0 Details A microwaveabLe cup-of-soup package needs to be constructed in the shape of cylinder to hold 500 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.04 cents per square centimeter. The top will be made of glued paper, costing 0.08 cents per square centimeter. Find the dimensions for the package that will minimize production cost. Helpful information: h: height of cylinder, r: radius of cylinder Volume of a cylinder: V 2 W2?! Area of the sides: A = 2711'}: Area of the topr'bottom: A = 1W2 To minimize the cost of the package: _ Radius: I I cm Height: I I cm Minimum cost: I I cents Question HeLp: [I] Video 3.4 Progress saved Done VOCO Score: 4.71/13 4/13 answered Question 4 0.71/1 pt 9 5 0 Details Consider the function f(x) = 12x + 45x* - 200x3+ 2. f(z) has inflection points at (reading from left to right) x = D, E, and F where D is and E is and F is For each of the following intervals, tell whether f(@) is concave up or concave down. (-00, D): Select an answer v (D, E): Select an answer v (E, F): Select an answer (F, oo): Select an answer v Question Help: Video Submit