96test3

# 96test3 - y-intercept and(iv graph the function 15 f x...

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October 26, 2011 Math 96 - Test 3 Name__________________ Show work for full credit. 1. Find a and b in the right triangle to the nearest tenth of a foot. You may use sin . 36 0 5878 ! " , cos . 36 0 8090 ! " , or tan . 36 0 7265 ! " . 37 ft a b 36° Perform the complex number arithmetic operations. 2. ( ) ( ) 2 7 3 4 ! ! ! + i i 3. ( )( ) 2 7 3 4 ! ! + i i 4. 1 7 3 + + i i 5. ( ) ( ) 2 3 5 3 i i + Solve by completing the square. Solve by any method. 6. 2 7 3 0 2 x x + + " 7. x x 2 14 85 0 ! + "

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October 26, 2011 Math 96 - Test 3 page 2 of 4 8. For some constant a , the equation ax x 2 60 36 0 ! + " has one real solution. [ Hint : Use the discriminant b ac 2 4 ! .] a. What is a ? b. What is the one real solution of the equation? Find an equation of the form ax bx c 2 0 + + " with integer coefficients having the given numbers as solutions. 9. 2 3 , –3 10. 7 15 + , 7 15 ! Solve the fornula for the given letter. Assume all variables represent positive numbers. 11. K mv " 1 2 2 for v 12. A x hx " + 2 4 for x
October 26, 2011 Math 96 - Test 3 page 3 of 4 Solve. 13. x x 2 3 1 3 8 15 0 + + " 14. x x 4 2 7 12 0 ! + " Find (i) the vertex of the graph of each quadratic function and (ii) the x-intercepts (if any), (iii)

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Unformatted text preview: y-intercept, and (iv) graph the function. 15. f x x ( ) ( ) " ! ! + 2 4 2 16. f x x x ( ) " + + 2 8 6 2 October 26, 2011 Math 96 - Test 3 page 4 of 4 17. Find an equation either in the form y a x h k " ! + ( ) 2 or y ax bx c " + + 2 that describes the following graph. 18. The height of a ball thrown up from the top of a building is described by the function f t t t ( ) " ! + + 16 32 48 2 , where f t ( ) is the height, in feet, above the ground of the ball t seconds after being thrown. a. After how many seconds does the ball hit the ground? b. After how many seconds does the ball reach its maximum height above the ground? c. What is the maximum height above the ground reached by the ball?...
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## This note was uploaded on 12/12/2011 for the course MATH 96 taught by Professor Lapuma during the Fall '11 term at UCSD.

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96test3 - y-intercept and(iv graph the function 15 f x...

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