Your last submission is used for your score. 1. [-/8 Points] DETAILS LARCALC11 3.6.010. Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) X y = x2+ 64 intercept relative minimum ( x, y ) = ( relative maximum (x, y) = (C 000000 points of inflection (x, y) = ( (smallest x-value) ( x, y ) = ([ ( x, y ) = (_ (largest x-value) Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.) Use a graphing utility to verify your results. 0.10 0.10 ps -10 10 20 30 -20 -10 10 20 30 -0.05 -0.05 -0.10 0.10 0.10 .10 0.05 0.05 -20 -10 10 20 30 -20 -10 10 20 30" 05 -0.10 -0.10 Need Help? Read It Watch ItNeed Help? Read It Watch It 2. [-/8 Points] DETAILS LARCALC11 3.7.003. Find two positive numbers whose sum is 150 and whose product is a maximum. (a) Analytically complete six rows of a table such as the one below. (The first two rows are shown.) First Second Number, x Number Product, P 30 150 - 30 30(150 - 30) = 3,600 40 150 - 40 40(150 - 40) = 4,400 50 150 - 50 50(150 - 50) 60 150 - 60 60(150 - 60) = 70 150 - 70 70(150 - 70) = 80 150 - 80 80(150 - 80) = (b) Write the product P as a function of x. P (x) = (c) Use calculus to find the critical number of the function in part (b). Then find the two numbers. (Enter your answers as a comma-separated list.) (d) Use a graphing utility to graph the function in part (b) and verify the solution from the graph. 700 2000 1000 20 40 60 80 100 120 140 160 0 20 40 60 80 100 120 140 6 - 1000 0 20 40 60 80 100 120 140 160 20 40 60 80 100 120 140 160 The solution appears to be at x = Need Help? Road It 3. [-/2 Points] DETAILS LARCALC11 3.7.006. Find two positive numbers satisfying the given requirements. The product is 184 and the sum is a minimum. (smaller value)webassign.net 3. [-/2 Points] DETAILS LARCALC11 3.7.006. Find two positive numbers satisfying the given requirements. The product is 184 and the sum is a minimum. (smaller value) (larger value) Need Help? Read It . [-/2 Points] DETAILS LARCALC11 3.7.007. Find two positive numbers satisfying the given requirements. The product is 48 and the sum of the first plus three times the second is a minimum. (first number) (second number) Need Help? Read It Watch It 5. [-/2 Points] DETAILS LARCALC11 3.7.008. Find two positive numbers that satisfy the given requirements. The sum of the first number squared and the second number is 54 and the product is a maximum. (first number) (second number) Need Help? Read It Watch It 6. [-/2 Points] DETAILS LARCALC11 3.7.011. Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter: 360 meters engt m width m Need Help? Read It Watch It 7. [-/2 Points] DETAILS LARCALC11 3.7.013. Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter. Area: 49 square feet ft (smaller value) ft (larger value) Need Help? Read It Watch It