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Mathematics

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Quiz

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

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  • Questions count: 3
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1.
The slope of the normal to the curve \(y = e^{2x}\) at the point where \(x = 0\) is:
A) 2
D) -1/2
C) 1/2
B) -2
2.
The n-th term of an arithmetic sequence with first term a and common difference d is given by:
T_n = a + (n - 1) * d
T_n = a * rn − 1
T_n = a + n * d
T_n = 1/2 n (2a + d)
3.
The length of the perpendicular drawn from the origin $(0, 0, 0)$ to the plane \(3x + 4y + 12z - 26 = 0\) is:
A) 2
B) 13
C) 26
D) 1
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