MFE2-hw10 - Math for Econ II Written Assignment 10(28...

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Math for Econ II, Written Assignment 10 (28 points) Due Friday, May 2nd New York University Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work, you will not be given any credit. Write your name and recitation section number. Staple your homework if you have multiple pages! 1. (4 pts) Find x 2 + 4 dx . 2. (5 pts) Find Z 2 x + 6 x 2 + 4 x + 13 dx . (hint: split this into two integrals. One will turn into a term involving ln( x 2 +4 x +10), and the other will involves an inverse tangent function. For the inverse tangent term, you will need to do a substitution) 3. (4 pts) Find Z 1 e x + 1 dx . (this problem appeared on a recent Calculus 2 final exam) 4. (4 pts) An author is to be paid royalties for publishing a book. He has two options: (a) She can be paid $21 , 000 immediately, or (b) She can receive 5 equal annual payments of $4600, the first payment taking place immediately. Assuming that the annual interest rate is 6% compounded annually, which option should she choose? You must Z x 3 + 4

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