Engineering Calculus Quiz
Test your knowledge of engineering calculus concepts. Please answer all questions to the best of your ability.
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Evaluate the following limit: limₓ→0 (sin x)/x
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1
0
Does not exist
Other
Which of the following functions is NOT differentiable at x = 0?
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f(x) =
x
1
f(x) = x^2
f(x) = sin(x)
f(x) = e^x
Match each function with its derivative.
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Rows
f'(x)
sin(x)
cos(x)
2x
e^x
0
x^2
cos(x)
2x
e^x
0
e^x
cos(x)
2x
e^x
0
5
cos(x)
2x
e^x
0
Calculate the definite integral: ∫₀¹ x dx
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0.5
1
0
Other
Select all applications of the definite integral.
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Calculating area under a curve
Finding slope of a tangent line
Calculating displacement from velocity
Solving for maximum and minimum values
Other
Given f(x) = x^3, what is the value of f''(2)?
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12
6
8
Other
For which values of x does the function f(x) = 1/x have a vertical asymptote?
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x = 0
x = 1
x = -1
No vertical asymptote
Evaluate the following derivative: d/dx (ln x)
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1/x
ln(x)
x
Other
Briefly explain the meaning of the Fundamental Theorem of Calculus.
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