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Quiz

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

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  • Questions count: 20
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1.
STEM Calculus Problem 32: 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)
2.
STEM Calculus Problem 33: Find the derivative dy/dx for the function y = sin3(2x).
6 sin2(2x) cos(2x)
6 sin2(2x)
3 sin2(2x)
3 sin2(2x) cos(2x)
3.
The sum to infinity of the geometric series 16 + 8 + 4 + 2 + ... equals:
64
32
30
24
4.
STEM Vector Algebra Problem 16: If vector A = (2, -3, 1) and vector B = (1, 2, -4), calculate the dot product A · B.
10
-4
6
-8
5.
STEM Algebra Problem 7: 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 21: Find the derivative dy/dx for the function y = sin3(2x).
6 sin2(2x)
3 sin2(2x)
6 sin2(2x) cos(2x)
3 sin2(2x) cos(2x)
7.
STEM Algebra Problem 31: In the expansion of (x + 1/x)10, find the value of the term independent of x (the constant term).
210
1
120
252 (the 6th term T_6 = 10C5)
8.
STEM Calculus Problem 22: 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)
9.
STEM Calculus Problem 12: 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)
10.
STEM Vector Algebra Problem 37: If vector A = (2, -3, 1) and vector B = (1, 2, -4), calculate the dot product A · B.
6
10
-4
-8
11.
STEM Algebra Problem 3: In the expansion of (x + 1/x)10, find the value of the term independent of x (the constant term).
120
1
252 (the 6th term T_6 = 10C5)
210
12.
STEM Calculus Problem 4: 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)
13.
STEM Calculus Problem 23: 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)
14.
The number of terms in the expansion of \((x + 3y)^{10}\) is equal to:
A) 9
B) 10
C) 11
D) 20
15.
STEM Vector Algebra Problem 11: If vector A = (2, -3, 1) and vector B = (1, 2, -4), calculate the dot product A · B.
6
10
-4
-8
16.
STEM Calculus Problem 18: Find the derivative dy/dx for the function y = sin3(2x).
6 sin2(2x)
3 sin2(2x) cos(2x)
6 sin2(2x) cos(2x)
3 sin2(2x)
17.
STEM Algebra Problem 43: In the expansion of (x + 1/x)10, find the value of the term independent of x (the constant term).
120
1
252 (the 6th term T_6 = 10C5)
210
18.
STEM Vector Algebra Problem 3: If vector A = (2, -3, 1) and vector B = (1, 2, -4), calculate the dot product A · B.
-8
6
10
-4
19.
STEM Algebra Problem 27: 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
20.
STEM Vector Algebra Problem 24: If vector A = (2, -3, 1) and vector B = (1, 2, -4), calculate the dot product A · B.
-4
-8
6
10
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