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Mathematics

Unit 1

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Unit 2

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Unit 3

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Unit 4

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Unit 5

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Unit 6

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Unit 7

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Quiz

Lesson 1 Quiz: Momentum, Newtons Three Laws of Motion, Impulse and Energy

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  • Questions count: 12
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1.
The n-th term of an arithmetic sequence with first term a and common difference d is given by:
T_n = a * rn − 1
T_n = a + (n - 1) * d
T_n = 1/2 n (2a + d)
T_n = a + n * d
2.
Using the Quotient Rule, the derivative of y = (x + 3) / (x - 2) for x != 2 is:
5 / (x - 2)2
(2x + 1) / (x - 2)2
1 / (x - 2)2
-5 / (x - 2)2
3.
The second derivative d2y/dx2 of the function y = x4 - 2 x3 + 5 is:
24 x - 12
12 x2 - 6 x
12 x2 - 12 x
4 x3 - 6 x2
4.
If f(x) = |x - 3|, the derivative f'(3) at x = 3:
Equals 0
Equals -1
Does not exist because the left-hand derivative (-1) does not equal the right-hand derivative (+1)
Equals 1
5.
STEM Limits Problem 5: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).
5/2 (or 2.5)
1
0
Undefined
6.
STEM Limits Problem 6: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).
0
Undefined
1
5/2 (or 2.5)
7.
STEM Limits Problem 15: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).
5/2 (or 2.5)
0
Undefined
1
8.
STEM Limits Problem 16: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).
Undefined
5/2 (or 2.5)
1
0
9.
STEM Limits Problem 25: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).
1
0
Undefined
5/2 (or 2.5)
10.
STEM Limits Problem 26: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).
5/2 (or 2.5)
1
0
Undefined
11.
STEM Limits Problem 35: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).
5/2 (or 2.5)
1
0
Undefined
12.
STEM Limits Problem 36: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).
1
0
Undefined
5/2 (or 2.5)
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