Calculus

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Quiz by JSSTyger
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Last updated: May 18, 2019
First submittedOctober 18, 2018
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Hint
Answer
Term for lim[[f(x+h)-f(x)]/h] as h-->0
Derivative
Term for the area between a function and the x or y axis
Integral
What is the lim[sin(x)/x] as x goes to 0?
1
If "i" is the square root of negative 1 and e = Euler's constant, what is e^(iπ)+1?
0
What is log base 10 of 1000?
3
What is the integral with respect to x of g'(x)/g(x)? (do not include the constant of integration)
ln(g(x))
Log(a)+Log(b) = Log(??)
ab
Hint
Answer
The derivative with respect to x of sin(x) is?
cos(x)
If y'(x) +x = 2 and y(0) = 0, then y(2) = ??
2
e^(iΘ) = cos(Θ)+i*sin(Θ) is the famous formula attributed to____?? (Use last name only)
Euler
The creation of calculus (branch of mathematics) is mostly attributed to ___?? (Use last name only)
Newton
A rectangular fence with a fixed perimeter is designed to maximize area. It has a width of W. What should the other dimension be?
W
What is the lim[(N/2)(sin(360°/N)] as N-->∞???? (spell it)
pi
The volume of a cone is known to be a function of its height and the circular area of its base. If the cross section is a square instead of a circle, what does the shape become?
pyramid
+1
Level 53
Oct 19, 2018
I wrote this quiz and I just realized (too late for editing) that the question about the rectangular fence does not contain enough info. It was meant to be a question about optimizing the area with a given length of fence. The optimal shape is a square. Sorry for the confusing question.

The last question might have different answers (ie, polyhedron) I didn't think this all the way through...