11Breview6

11Breview6 - econ 11b ucsc ams 11b Review Questions 6...

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econ 11b ucsc ams 11b Review Questions 6 Summation, Deﬁnite integrals and the FTC 1. Compute the following deﬁnite integrals. Use the Fundamental Theorem of Cal- culus , (i.e. don’t use limits of right-hand sums). a. Z 4 0 3 xdx 3 x 2 + 1 = b. Z 3 1 ( x 2 + 2 x )( x 3 + 3 x 2 - 1) 3 dx = c. Z e 2 e dx x ln x = d. Z 10 0 1000 e - 0 . 05 t dt = e. Z 1 0 x x 2 + 1 dx = f. Z 2 0 e x - e - x e x + e - x dx = 2. Compute . .. a. 20 X k =10 2 k + 1 = b. 100 X i =0 i 2 + 3 i - 4 = c. 100 X m =1 me - 0 . 05 m = See problem 7. on the homework from SN 1. 3. The marginal propensity to consume of a small nation is given by dC dY = 8 Y + 13 9 Y + 21 , where consumption C and income Y are both measured in billions of dollars. By
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This note was uploaded on 09/16/2011 for the course ECON 11B taught by Professor Binici during the Spring '08 term at UCSC.

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