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Quiz

Lesson 1 Quiz: Equilibrium of a Particle, Friction and Limiting Static Friction

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  • Questions count: 13
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1.
The derivative of \(f(x) = 5^{x^2}\) with respect to \(x\) is:
A) \(2x cdot 5^{x^2}\)
D) \(x^2 cdot 5^{x^2 - 1}\)
C) \(5^{x^2} / ln 5\)
B) \(2x cdot 5^{x^2} cdot ln 5\)
2.
The sum of the first n terms of an arithmetic sequence (S_n) is formulated as:
S_n = n / 2 * [ 2a + (n - 1) * d ] = n / 2 * [ a + l ]
S_n = a / (1 - r)
S_n = n * (a + d)
S_n = a * (1 - rn) / (1 - r)
3.
If f(x) = |x - 3|, the derivative f'(3) at x = 3:
Equals 0
Equals -1
Equals 1
Does not exist because the left-hand derivative (-1) does not equal the right-hand derivative (+1)
4.
The volume of the solid generated by revolving the region bounded by \(y = \sqrt{x}\), \(y = 0\), and \(x = 4\) about the x-axis is:
B) $8pi$
C) $16pi$
D) $32pi$
A) $4pi$
5.
STEM Organic Distinction Problem 4: How can you chemically distinguish between phenol (C6H5OH) and ethanol (C2H5OH) using a simple qualitative test?
Adding neutral FeCl3 solution: phenol produces a distinct violet color, whereas ethanol shows no change
Adding litmus paper: ethanol turns blue litmus red
Heating with concentrated sulfuric acid at 180°C
Adding sodium metal: only ethanol reacts with sodium
6.
STEM Organic Distinction Problem 7: How can you chemically distinguish between phenol (C6H5OH) and ethanol (C2H5OH) using a simple qualitative test?
Heating with concentrated sulfuric acid at 180°C
Adding neutral FeCl3 solution: phenol produces a distinct violet color, whereas ethanol shows no change
Adding sodium metal: only ethanol reacts with sodium
Adding litmus paper: ethanol turns blue litmus red
7.
STEM Organic Distinction Problem 14: How can you chemically distinguish between phenol (C6H5OH) and ethanol (C2H5OH) using a simple qualitative test?
Adding litmus paper: ethanol turns blue litmus red
Adding sodium metal: only ethanol reacts with sodium
Adding neutral FeCl3 solution: phenol produces a distinct violet color, whereas ethanol shows no change
Heating with concentrated sulfuric acid at 180°C
8.
STEM Organic Distinction Problem 17: How can you chemically distinguish between phenol (C6H5OH) and ethanol (C2H5OH) using a simple qualitative test?
Adding sodium metal: only ethanol reacts with sodium
Heating with concentrated sulfuric acid at 180°C
Adding neutral FeCl3 solution: phenol produces a distinct violet color, whereas ethanol shows no change
Adding litmus paper: ethanol turns blue litmus red
9.
STEM Organic Distinction Problem 24: How can you chemically distinguish between phenol (C6H5OH) and ethanol (C2H5OH) using a simple qualitative test?
Adding sodium metal: only ethanol reacts with sodium
Adding neutral FeCl3 solution: phenol produces a distinct violet color, whereas ethanol shows no change
Heating with concentrated sulfuric acid at 180°C
Adding litmus paper: ethanol turns blue litmus red
10.
STEM Organic Distinction Problem 27: How can you chemically distinguish between phenol (C6H5OH) and ethanol (C2H5OH) using a simple qualitative test?
Adding litmus paper: ethanol turns blue litmus red
Adding sodium metal: only ethanol reacts with sodium
Adding neutral FeCl3 solution: phenol produces a distinct violet color, whereas ethanol shows no change
Heating with concentrated sulfuric acid at 180°C
11.
STEM Organic Distinction Problem 34: How can you chemically distinguish between phenol (C6H5OH) and ethanol (C2H5OH) using a simple qualitative test?
Adding neutral FeCl3 solution: phenol produces a distinct violet color, whereas ethanol shows no change
Adding litmus paper: ethanol turns blue litmus red
Heating with concentrated sulfuric acid at 180°C
Adding sodium metal: only ethanol reacts with sodium
12.
STEM Organic Distinction Problem 37: How can you chemically distinguish between phenol (C6H5OH) and ethanol (C2H5OH) using a simple qualitative test?
Adding litmus paper: ethanol turns blue litmus red
Heating with concentrated sulfuric acid at 180°C
Adding sodium metal: only ethanol reacts with sodium
Adding neutral FeCl3 solution: phenol produces a distinct violet color, whereas ethanol shows no change
13.
STEM Organic Distinction Problem 44: How can you chemically distinguish between phenol (C6H5OH) and ethanol (C2H5OH) using a simple qualitative test?
Adding neutral FeCl3 solution: phenol produces a distinct violet color, whereas ethanol shows no change
Adding litmus paper: ethanol turns blue litmus red
Heating with concentrated sulfuric acid at 180°C
Adding sodium metal: only ethanol reacts with sodium
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