MAT133Y1 Final: MAT133Y1 Final Exam 2006 Winter Spring

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1 Oct 2018
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3x2px2 + 1 + x4 px2 + 1. 2px (cid:0) x (cid:0) 1 (x (cid:0) 1)2 = (cid:0) If the demand equation for a product is p = 300(cid:0)q2 and the supply equation is p = 10q+100 then the producers" surplus at market equilibrium is (cid:13)a (cid:13)b (cid:13)c (cid:13)d (cid:13)e. 1 (cid:13)a (cid:13)b (cid:13)c (cid:13)d (cid:13)e x2 ln x dx is equal to. Z x2 + x + 1 (cid:13)a (cid:13)b (cid:13)c (cid:13)d (cid:13)e x3 + x2 dx is equal to: lnjx3 + x2j + c lnjx + 1j (cid:0) lnjx(x + 1)j + c lnjxj + lnjx3 + x2j + c. 8 unde(cid:12)ned; the integral diverges (cid:13)a (cid:13)b (cid:13)c (cid:13)d (cid:13)e. If f (x; y) = xy where x = x(t) and y = y(t) satisfy x(1) = 3 y(1) = (cid:0)2 dx dt dy dt (1) = 4 (1) = 5; (1) = df dt.

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