Solve the problem.A semicircular plate
in diameter sticks straight down into fresh water with the diameter along the surface. Find the fluid force exerted by the water on one side of the plate.
A. 22,744.8 lb
B. 68,234.4 lb
C. 45,489.6 lb
D. 30,326.4 lb
Answer: D
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The total weekly revenue (in dollars) of the company realized in manufacturing and selling its rolltop desks is given by
?
?
where x denotes the number of finished units and y denotes the number of unfinished units manufactured and sold each week. The total weekly cost attributable to the manufacture of these desks is given by
?
?
dollars. Determine how many finished units and how many unfinished units the company should manufacture each week in order to maximize its profit. What is the maximum profit(P) realizable?
?
x = __________
?
y = __________
?
P = $__________
What will be an ideal response?
Each side of square MNPQ measures 8 inches. When the midpoints of the sides of the square are joined in order, quadrilateral HJKL is formed. What is the perimeter of HJKL?
What will be an ideal response?
Solve the minimization problem by using the simplex method to solve the dual problem.Minimize 12x1 + 8x2subject to x1 + x2 ? 3 3x1 + x2 ? 7and x1 ? 0, x2 ? 0
A. Minimum = 56 when x1 = 0 and x2 = 7 B. Minimum = 24 when x1 = 0 and x2 = 3 C. Minimum = 36 when x1 = 3 and x2 = 0 D. Minimum = 32 when x1 = 2 and x2 = 1
Provide an appropriate response.If a, b, and c are real numbers, is this statement true or false? 
A. True B. False