Chapter62005

# Chapter62005 - Chapter 6 Test 1 Evaluate H3x 1L2 dx 3x...

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Chapter 6 Test December 6, 2005 Name 1. Evaluate H 3 x + 1 L 2 cccccccccccccccc ccccccccc 3 x dx 2. Evaluate 3 π cccccccc 2 9 π ccccccc 4 cot i k j j x cccc 3 y { z z dx 3. Solve the intial value problem. Support your answer by overlaying your solution on a slope field for the differential equation. dy ccccccc dx = y cccc 2 ,y H 1 L = 1 cccc 2 2 1 1 2 1 1 2 3 4. Evaluate 6 x e x dx

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5. Solve the following differential equation H and isolate y L by the technique of separation of variables : dy ccccccc dx = H 2x + 1 L H y + 1 L ,y H 1 L = 1 6. Evaluate 0 1 x cccc 2 "############### 1 x 2 dx 7. Evaluate y cccccccccccccccc cccccccccc csc H 5 y 2 L dy 8. Evaluate x 3 H ln 3 x L dx
9. Evaluate H ln x L 2 dx 10. Evaluate x 5 e x 2 dx 11. The half life of the radioactive isotope Calculisium is 8 days. That is, if we start out with y 0 grams, 8 days later there will be y 0 ccccccc 2 grams left. If we start out with 60 grams, how long will it take for our sample to decay to 5 grams?

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12. Watch out ! As you have heard, the seagulls are back at Monta Vista. The number of seagulls at MV can be modeled by the logistic differential equation dP cccccc
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## This note was uploaded on 08/29/2010 for the course MATH 44323 taught by Professor Anderson during the Spring '09 term at Berkeley.

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Chapter62005 - Chapter 6 Test 1 Evaluate H3x 1L2 dx 3x...

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