- 1. Find the limit as x approaches 3 of (7)/(x-3)
A) 0
B) 7/3
C) 7
D) 3
E) DNE
- 2. Find the limit as x approaches 7 of ((x2-49)/(x3-343))
A) DNE
B) 1/21
C) 0
D) 7/19
E) 2/21
- 3. Find the limit as x approaches infinity of ((5x2 + 202x - 33)/(2x3 + 1)).
A) -33
B) 5/2
C) 0
D) QED
E) DNE
- 4. Find the limit as x approaches 0 of ((5x2 + 16)/(x2 - 6x + 35)).
A) 16/35
B) 0
C) 5
D) DNE
- 5. Find the sum please: -33 + -14 + 5 + ......... 1050
- 6. Find the sum please: 81 - 54 + 36 - 24 + ...............
- 7. FACTORING! What is the correct factoring of 8x3 + 27y15?
A) (2x + 3y5)3
B) (2x + 3y5)(4x2 - 6xy5 + 9y10)
C) (2x + 3y5)(4x2 + 6xy5 + 9y10)
D) (2x - 3y5)(4x2 - 6xy5 - 9y10)
E) (2x - 3y5)(4x2 - 6xy5 + 9y10)
- 8. COOK IT UP! What is the correct cook-it-up formula for cos(A + B)?
A) cos A cos B + sin A sin B
B) sin A sin B - cos A cos B
C) cos A cos B - sin A sin B
D) sin A cos B - cos A sin B
E) sin A cos B + cos A sin B
- 9. DOUBLE ANGLE FORMULAS! What is a formula for cos 2A?
A) cos2A + sin2A
B) tan A + cot A - cos A
C) cos2A - sin2A
D) sec2A + tan2A
E) sec2A - tan2A
- 10. DOUBLE ANGLE FORMULAS! What is the formula for sin 2A?
A) 2 sin A cos A
B) 1 - 2 sin2A
C) cos2A + sin2A
D) 2 cos2A - 1
E) cos2A - sin2A
- 11. It is quite true that sec2A - 1 = .....
A) tan2A
B) 1 + sin2A
C) cot2A
D) tan 2A
E) cot 2A
- 12. It is quite true that csc2A - cot2A = ....
A) -1
B) 1
C) sec2A
D) FUN!
E) cos2A
- 13. An equation that is always true, like x + x = 2x, is called a....
A) x = 2
B) No solution
C) x = -2
D) x = 2 or -2
E) x = 0
- 15. y = -2 tan (3π (ø - 3/8 + 13)). What is the period?
A) No period - Tangent graphs have asymptotes.
B) 3π
C) 3/2
D) 1/3
E) 2/3
- 16. Tangent graphs are always Y E R.
A) False.
B) True.
C) YER kiddin' me!
- 17. Cotangent graphs are always Y E R.
A) False.
B) True.
C) How do we do those again?
- 18. 2y2 - 37x2 = 222. Find the eccentricity please, accurate to 2 decimal places.
- 19. What shape has an eccentricity = 0?
A) Hyperbola
B) Ellipse
C) Circle
D) Rotated Parabola
E) Parabola
- 20. What is the eccentricity of the hyperbola with the equation (y - 23)2/25 - (x + 10)2/375 = 1?
- 21. 3x2 + 4xy - 5y2 + 6x + 7y - 8 = 0. What is the angle of rotation?
A) 78.68 degrees
B) 63.44 degrees
C) 13.28 degrees
D) 26.56 degrees
E) 31.72 degrees
- 22. Which of the following is not a conic section?
A) Parabola
B) Hyperbola
C) Cubic
D) Circle
E) Ellipse
- 23. What is the acute angle between the 2 lines: y = 3x - 14 and y = -1/2 x + 71
A) 78.69 degrees
B) 19.89 degrees
C) 81.87 degrees
D) 45 degrees
E) 54.46 degrees
- 24. True or False: The limit as x approaches 6 of (x)/(x - 6) can be found using l'Hopital's rule.
A) False!
B) True!
C) L'hopiwho?
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