SRRY ACCIDENTLY MADE THE POLE
1. For which following condition, will the cross product of two vectors be zero?
a. If the angle between them is 90°.
b. If the angle between them is 0°.
c. If the angle between them is 45°.
d. If the vectors have the same magnitude.
2. If a = (5, 2) and b = (-3, 1), then which of the following vectors represent 3a - 2b?
a) (9, 4)
b) (9, 8)
c) (21, 8)
d) (21, 4)
3. Given the vectors a = (1, 3, 4) and a = (4, 5, -4), which of the following represent a × b?
a) (8, -20, 7)
b) (-32, 20, -7)
c) (4, 15, 16)
d) -3
4. In the previous question, what is the angle between the two given vectors to the nearest degree?
a) 94°
b) 86°
c) 36°
d) 24°
5. Which of the following represents the x – component of the vector in question 1 if the magnitude of the vector is 3 units?
a) 3 sin 20°
b) 3 cos 20°
c) 3 sin 70°
6. If ƒ'(c) < 0 then ƒ(x) is decreasing and the graph of ƒ(x) is concave down when x = c.
True
False
7. If ƒ?(x) > 0 when x < c and ƒ?(x) < 0 when x > c, then ƒ(x) has a maximum value when x = c.
True
False
8. Which of the following would best represent the statement "the plane is flying to the left of me, but is slowing down to come around for another pass?"
a) v(t) > 0 and a(t) > 0
b) v(t) > 0 and a(t) < 0
c) v(t) < 0 and a(t) > 0
d) v(t) < 0 and a(t) < 0
9. A ball is thrown downward from the top of a 20 m tall building with an initial velocity of 15 m/s. What equation could be used to model its height, h(t)?
-4.9t^2-20t+15------ I THINK THERE IS A SIGN MISTAKE???
10. What is the simplified average rate of change between x = 2 and x = 2 + h for the function:
a. ƒ(x) = x
2?
4+h THIS IS COREECT
b. ƒ(x) = 1/x?
-h/2(2+h) this answer is close, but still incorrect
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