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1. A farmer wishes to construct an enclosure consisting of 5 rectangles next to each other. If the farmer has 600m of fence which dimensions of the

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1. A farmer wishes to construct an enclosure consisting of 5 rectangles next to each other. If the farmer has600m of fence which dimensions of the rectangles will allow for the maximum area?2. Find the equation of the tangent line to the relation given by the equation 4zy + $1 + 5y2 - 12y' at thepoint (1, 1).3. A hailstone is growing in the upper atmosphere at the rate of 2cms per minute. Assume the hailstone isa sphere. How rapidly is the radius (r) increasing when r =, r = 2? Note the volume of aof a sphere of radius ris given by V - for3.4. Andy Student wants to buy a boat. The boat of Andy's dreams costs $1,000,000. Andy plans on placinghis $10,000 in a bank account that gets compounded continuously at a rate of 4%. How long does Andyhave to wait to be able to affordord his boat?
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