Let C(q) represent the cost and R(q) represent the revenue, in dollars, of producing q items. (a) If C(50) = 4000 and C' (50) = 21, estimate C(55). %3D %3D C(55) = $ i (b) If C' (50) = 21 and R' (50) = 34, approximately how much profit is earned by the 51st item? %3D %3D The profit on the 51st item is dollars. (c) If C' (100) 31 and R' (100) = 34, should the company produce the 101st item? The company produce the 101st item.

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A: Explanation and solutions is given below....

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Q: what is the dependent variable and linearity of the DE: d(xy)/dx + xy=0?

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A:

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Q: dx Find the value ofat y=2 if x=z³+5z and z= dy (y² + 2y)'/³. -

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Q: find for x=1 the y value for partivular solutiom, (D^2+3D-10)y=0, when x=0, y=0 and x=2, y =1

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Q: aw nd dt in term of t, if w = xy, x = cost and y = sint, when t = - %3D

A: Question 4 is not complete.  I am answering Question 5.

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Q: 26. (a) J. Jo dz dy dx ~2 r2-y (2-x-y (b) dz dx dy -2 p4-y² dx dz dy (c) -2 Jo

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A: Given.