Imagine you want to enclose a field in the shape of a rectangle with a semicircle on one end. If you have 500 ft of fencing, what is the maximum area that you can enclose?

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A: since you have posted multiple question i can do first question as per our company guidelines please…

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A: Given figure:-

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y=6√x + 7 x dy

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A: Topic:- application of integration

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Q: = 5, A2=3, A3=1 and A4=1

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Q: Find the differential dy of the given function. (Use "dx" for dx.) 7 y = 6√x + 7 x dy = (3x72xx)dx…

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Q: for evey 2 adults there are 3 children if 275 ppl attend how many kids are there

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Q: question: 2. xdy + (xy - y - y²) dx = 0 answer: 2.y = x Cex+1

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Q: Evaluate the following integral over the Region R. (Answer accurate to 4 significant places). SS R…

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Q: 3. a) Examine if the following limit exists, x + y + 1 lim (x,y) (0,0) In(x2 + y²)* If the limit…

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Q: 1. The graph of y = f(x) is given below. -4 2 2 a) Find lim f(x) or state why it does not exist. 7+1…

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Q: Find the mass of the two dimensional object that is centered at the origin. A plate of radius 10…

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Q: 19. Suppose the rate of change of production of a regular worker at a factory is given by dp…

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Q: Answer the following True or False. 1 COS T dz = ln(cos z) +C

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Q: Given f''(x) = 5x - 2 and f'(-2) = Find f'(x) = and find f(1) - 4 and f(− 2) = 4.

A: Topic = Integration

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A: p'(t) for t greater than the value of 10 becomes stable and reaches to a threshold value