A rectangular flower garden with an area of 30 m is surrounded by a grass border 1 m wide on two sides and 2m wide on th

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A rectangular flower garden with an area of 30 m is surrounded by a grass border 1 m wide on two sides and 2m wide on th

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A Rectangular Flower Garden With An Area Of 30 M Is Surrounded By A Grass Border 1 M Wide On Two Sides And 2m Wide On Th 1
A Rectangular Flower Garden With An Area Of 30 M Is Surrounded By A Grass Border 1 M Wide On Two Sides And 2m Wide On Th 1 (26.61 KiB) Viewed 24 times
A rectangular flower garden with an area of 30 m is surrounded by a grass border 1 m wide on two sides and 2m wide on the other two sides. What dimensions of the garden, if any, minimize the combined area of the garden and the borders? 2 m Flower garden 1 m 1) (5 pts) Objective Function in terms of x and y: Combined Area 2) (3 pts) Constraint: 3) (2 pts) Solve the constraint for y 4) (5 pts) Write the objective function in terms of only . FOLL, and simplify: Combined Area =fx) = 5) (2 pts) Interval of interest for : 6) Calculus: a) (5 pts) Derivative of the objective function b) (5 pts) Critical points of objective function in the above interval of interest DNE: f):
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