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Quiz

Lesson 1 Quiz: Three-Dimensional Cartesian Coordinates and Vector Operations

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  • Questions count: 5
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1.
The number of terms in the finite arithmetic sequence (5, 9, 13, ..., 81) is:
20 terms
25 terms
21 terms
19 terms
2.
The slope of the tangent line to the curve y = x2 - 6 x + 5 at the point (4, -3) equals:
m = 8
m = -2
m = 2
m = -3
3.
If a particle moves along a straight line such that its position s(t) = t3 - 6 t2 + 9 t meters, the particle comes to an instantaneous rest (velocity v(t) = 0) at times:
t = 2 seconds and t = 4 seconds
t = 6 seconds
t = 0 seconds only
t = 1 second and t = 3 seconds
4.
The equation of the tangent line to the curve y = x3 at the point (1, 1) is:
y = x
y = 3x - 2
y = 3x + 1
y = -3x + 4
5.
The number of terms in the expansion of \((x + 3y)^{10}\) is equal to:
B) 10
A) 9
D) 20
C) 11
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