1. [-/1 Points] DETAILS LARCALC11 13.9.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 6. [-/1 Points] DETAILS LARCALC11 13.9.021. Find the minimum distance from the point to the plane x + 2 = 7. (Hint: To simplify the computations, minimize the square of MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER the distance.) (1, -], 6) Consider the following (9. 7 Need Help? Read Paths 7. 1) [-/1 Points] DETAILS LARCALC11 13.9.005 (-20) -10 -5 MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER (a) Find the least squares regression line. Find the minimum distance from the point to the surface ? = v8 - 2x - Zy. (Hint: To simplify the compu square of the distance.) (-2. -2, 0) (b) Calculate S, the sum of the squared errors. Use the regression hing utility to verify you Need Help? Both Need Help? Read It Watch 3. [-/1 Points] DETAILS LARCALC11 13.9.009. 7. [-/1 Points] DETAILS LARCALC11 13.9.027 MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find three positive integers x, y, and a that satisfy the given conditions. The sum is 42, and the sum of the squares is a minimum. Find the least squares regression line for the points. (0, 6). (5, 2), (6, 0), (9, -4). (11, -5) (x, W, Z) = Need Help? Reasons Use the regression capabilities of a graphing utility to verify your results. Use the graphing utility to plot the points and regression line. 4. [-/1 Points] DETAILS LARCALC11 13.9.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 998.25 cubic feet. The cost of wall paint is $0.12 per square foot and the cost of ceiling paint is $0.18 per square foot. Find the room dimensions that result in a minimum cost for the paint. 10 height what is the minimum cost for the paint? (Round your answer to two decimal places.) Need Help? RossWork . [-/1 Points] DETAILS LARCALC11 13.9.016. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A corporation manufactures candles at two locations. The cost of producing *, units at location 1 is C, = 0.02x1 + 4x1 + 530 and the cost of producing x2 units at location 2 is C2 = 0.05x32 + 4x3 + 225 The candles sell for $18 per unit. Find the quantity that should be produced at each location to maximize the profit P - 18( x1 + *3) - 6-Cr Nood Help? Pee Vish Need Help? Read It Watch