# Which of the following functions is neither even nor

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Chapter 9 / Exercise 3
Precalculus: Mathematics for Calculus
Redlin/Stewart
Expert Verified
10. Which of the following functions is neither even nor odd? a) f ( x ) = 4 x 2 – 3 x + 2 b) g ( x ) = 3 x 3 – 2 c) h ( x ) = 6 x 2 + 1 d) f ( x ) = 8 x 4 – 5 x
11. Find the magnitude of the resultant of two vectors u and v , given = u 5 , = v 4 and the angle between the vectors when they are arranged tail to tail is 65°.
12. The slope of the vector that is perpendicular to the scalar equation 2 x – 6 y + 1 = 0: 6 2 3
13. The dot product of a = (2, 5, 1) and b = (–5, 4, 2): 5
14. Given vectors = u ( (2, 4, –3) and = v ( (6, –2, –1), × u v is a) (–10, –16, –28) b) (12, –8, 3) c) (8, 2, –4) d) (2, –20, 20)
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Chapter 9 / Exercise 3
Precalculus: Mathematics for Calculus
Redlin/Stewart
Expert Verified
Practice Test Calculus and Vectors, MCV4U-B 15. Given two vectors u = (14, –6) and v = (–2, 5), the projection of u on v is
4 Part B: Knowledge and Understanding (16 marks) (approximate time: 15 minutes) 16. Find the equation of the tangent line to = + f x x x ( ) 2 4 7 3 at (2, 15). (4 marks)
Practice Test Calculus and Vectors, MCV4U-B 5 17. Determine the scalar, vector, and parametric equations of the plane that passes through the points P (1, 0, 4), Q (3, 1, –6) and R (–2, 3, 5). (12 marks) Part C: Thinking (22 marks) (approximate time: 30 minutes) 18. For the function = f x x x ( ) 2 2 , find the following: a) the x - and y -intercepts (2 marks) 4 2
Practice Test Calculus and Vectors, MCV4U-B 6 b) the horizontal and vertical asymptotes (2 marks) c) the first and second derivatives (6 marks: 3 marks each)
Practice Test Calculus and Vectors, MCV4U-B 7 d) any local maximum or minimum points (2 marks) e) the intervals of increasing and decreasing (3 marks)
Practice Test Calculus and Vectors, MCV4U-B 8