HW6 - 4 17 csc(next page Page 2 of 2 10 Given that 2 and 3...

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Page 1 of 2 Math 2312 Homework 6 Due: Wednesday, July 7, 2010, at the beginning of class 1. Solve the equation. Give an exact answer. 2 ) 8 ( log log 3 3 x x 2. If x x f ln ) ( use properties of logarithms to show that h x h h x f h x f 1 1 ln ) ( ) ( 3. Given x x x f ln ) ( and x e x g 2 ) ( , find, and simplify a) )) ( ( x g f b) )) ( ( x f g 4. If Danica invests $1000 into an account earning 5% interest, compounded semiannually, how long would it take for the account to be worth $100,000? 5. Convert to degree measure, and state the quadrant where the angle lies. 3 52 6. Convert to radian measure, and state the quadrant where the angle lies. 750 7. A car has wheels that are 1.5 feet in diameter. If the car is traveling at 30 mph, find the angular speed (angular velocity) of the wheels. 8. Evaluate the 6 trigonometric functions at the angle 6 49 without a calculator. 9. Use a right triangle to evaluate the other 5 trigonometric functions at without a calculator if
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Unformatted text preview: 4 17 csc (next page) Page 2 of 2 10. Given that 2 and 3 cot , find without a calculator. 11. An observer on the ground gazes at a weather balloon with an angle of elevation of 40 . The balloon casts a shadow that is directly below balloon. If this shadow is 200 ft from the observer, what is the altitude of the balloon? Round your answer to 2 decimal digits. 12. Use fundamental trigonometric identities to transform the left side to the right side of the equation x x x x x x cos 4 tan sec sin 1 cos 4 sin 2 3 13. For the function 3 2 sin 2 x y , a) Sketch one period of the graph by first sketching the parent function and then sketching each transformation leading to the final graph. b) Find the amplitude of the function. c) Find the period of the function....
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