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Unformatted text preview: polynomial. Â´Â±Â²Â³ = Â² Âµ + 2Â² Â¶ âˆ’ 8Â² 6. [10] A person invests $1000 in an account that pays 2% interest per year, compounded continuously. a) What is the accumulated amount after 3 years? b) How long will it take for the amount to be $3000? 7. [5] Solve the logarithmic equation for x: log G Â±Â² Â³ âˆ’ 1Â´ âˆ’ log G Â±Â² âˆ’ 1Â´ = 2 8. [10] Assume in a triangle ABC, a = 75, b = 100 and A = 30Â°. Solve for other parameters of the triangle. (Find other angles and side.) 9. [5] Simplify the trigonometric expression completely. secÂµ âˆ’ cosÂµ tanÂµ 10. [10] Prove the identity: Â±1 âˆ’ tanÂµÂ´Â±1 âˆ’ cot ÂµÂ´ = 2 âˆ’ secÂµ cscÂµ 11. [10] Using Gaussian or GaussJordan elimination, solve the system of equations. (show your steps clearly to get partial credits) g âˆ’ 2G + Â± = 1 y + 2z = 5 x + y + 3z = 8 12. [10] Calculate the products AB and BA to verify that B is the inverse of A. Â² = Â³ 1 3 âˆ’1 1 4 âˆ’1 âˆ’3 2 Â´ÂµÂ¶Â· Â¸ = Â³ 8 âˆ’3 4 âˆ’2 1 âˆ’1 1 1 Â´...
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 Summer '08
 Staff
 Math, Calculus, PreCalculus, Logarithm, Monotonic function, Prof. Shamik Sengupta, Sample Practice Test

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