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Quiz

Lesson 1 Quiz: Integration Techniques (Substitution and By Parts) and Definite Integrals

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  • Questions count: 9
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1.
The sum of the first n terms of an arithmetic sequence (S_n) is formulated as:
S_n = a * (1 - rn) / (1 - r)
S_n = n / 2 * [ 2a + (n - 1) * d ] = n / 2 * [ a + l ]
S_n = a / (1 - r)
S_n = n * (a + d)
2.
If a, b, c form an arithmetic sequence, then the arithmetic mean b equals:
b = sqrt(a * c)
b = a + c
b = (a + c) / 2
b = 2 a c / (a + c)
3.
If a, b, c form a geometric sequence of positive real numbers, the geometric mean b equals:
b = (a + c) / 2
b = a * c
b = a2 + c2
b = + sqrt(a * c)
4.
The sum of the first 10 terms of the geometric sequence 2, 6, 18, 54, ... equals:
59,048
118,096
29,524
19,682
5.
If y = (2x + 1) * (3x - 4), then dy/dx evaluated at x = 1 equals:
1
7
-5
12
6.
If y = sin(3x) + cos(2x), then dy/dx at x = 0 equals:
3
1
5
-2
7.
The number of terms in the expansion of \((x + 3y)^{10}\) is equal to:
B) 10
D) 20
C) 11
A) 9
8.
In the expansion of \((x + a)^8\), the middle term is:
C) \(T_4\) and \(T_5\)
B) \(T_5\)
A) \(T_4\)
D) \(T_6\)
9.
If \(\alpha, \beta, \gamma\) are the direction angles of a vector, then \(\cos^2 \alpha + \cos^2 \beta + \cos^2 \gamma\) equals:
B) 1
D) 3
C) 2
A) 0
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