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Quiz

Lesson 1 Quiz: Complex Numbers in Trigonometric and Exponential Form and De Moivres Theorem

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  • Questions count: 20
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1.
STEM Calculus Problem 8: Find the derivative dy/dx for the function y = sin3(2x).
6 sin2(2x)
3 sin2(2x) cos(2x)
3 sin2(2x)
6 sin2(2x) cos(2x)
2.
STEM Calculus Problem 19: Find the derivative dy/dx for the function y = sin3(2x).
3 sin2(2x)
6 sin2(2x)
3 sin2(2x) cos(2x)
6 sin2(2x) cos(2x)
3.
STEM Calculus Problem 25: Find the derivative dy/dx for the function y = sin3(2x).
3 sin2(2x)
6 sin2(2x)
3 sin2(2x) cos(2x)
6 sin2(2x) cos(2x)
4.
STEM Algebra Problem 15: In the expansion of (x + 1/x)10, find the value of the term independent of x (the constant term).
252 (the 6th term T_6 = 10C5)
120
210
1
5.
STEM Algebra Problem 26: In the expansion of (x + 1/x)10, find the value of the term independent of x (the constant term).
252 (the 6th term T_6 = 10C5)
1
120
210
6.
STEM Calculus Problem 44: Find the derivative dy/dx for the function y = sin3(2x).
3 sin2(2x)
3 sin2(2x) cos(2x)
6 sin2(2x) cos(2x)
6 sin2(2x)
7.
STEM Algebra Problem 20: In the expansion of (x + 1/x)10, find the value of the term independent of x (the constant term).
1
252 (the 6th term T_6 = 10C5)
210
120
8.
STEM Algebra Problem 30: In the expansion of (x + 1/x)10, find the value of the term independent of x (the constant term).
210
1
252 (the 6th term T_6 = 10C5)
120
9.
STEM Calculus Problem 16: Find the derivative dy/dx for the function y = sin3(2x).
6 sin2(2x) cos(2x)
3 sin2(2x)
6 sin2(2x)
3 sin2(2x) cos(2x)
10.
STEM Calculus Problem 14: Find the derivative dy/dx for the function y = sin3(2x).
6 sin2(2x)
3 sin2(2x) cos(2x)
3 sin2(2x)
6 sin2(2x) cos(2x)
11.
STEM Calculus Problem 3: Find the derivative dy/dx for the function y = sin3(2x).
3 sin2(2x)
6 sin2(2x)
3 sin2(2x) cos(2x)
6 sin2(2x) cos(2x)
12.
STEM Calculus Problem 2: Find the derivative dy/dx for the function y = sin3(2x).
6 sin2(2x) cos(2x)
6 sin2(2x)
3 sin2(2x) cos(2x)
3 sin2(2x)
13.
STEM Calculus Problem 32: Find the derivative dy/dx for the function y = sin3(2x).
3 sin2(2x)
6 sin2(2x)
3 sin2(2x) cos(2x)
6 sin2(2x) cos(2x)
14.
STEM Algebra Problem 8: In the expansion of (x + 1/x)10, find the value of the term independent of x (the constant term).
210
252 (the 6th term T_6 = 10C5)
1
120
15.
STEM Calculus Problem 33: Find the derivative dy/dx for the function y = sin3(2x).
3 sin2(2x)
3 sin2(2x) cos(2x)
6 sin2(2x) cos(2x)
6 sin2(2x)
16.
STEM Algebra Problem 7: In the expansion of (x + 1/x)10, find the value of the term independent of x (the constant term).
1
252 (the 6th term T_6 = 10C5)
210
120
17.
The sum to infinity of the geometric series 12 + 6 + 3 + 1.5 + ... equals:
18
36
Infinity
24
18.
STEM Algebra Problem 36: In the expansion of (x + 1/x)10, find the value of the term independent of x (the constant term).
210
252 (the 6th term T_6 = 10C5)
1
120
19.
STEM Calculus Problem 11: Find the derivative dy/dx for the function y = sin3(2x).
6 sin2(2x) cos(2x)
3 sin2(2x)
6 sin2(2x)
3 sin2(2x) cos(2x)
20.
STEM Calculus Problem 15: Find the derivative dy/dx for the function y = sin3(2x).
6 sin2(2x) cos(2x)
3 sin2(2x) cos(2x)
6 sin2(2x)
3 sin2(2x)
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