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Cal 1
Cal 1
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Questions
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Answers
1
What were Bernoulli and l'Hopital?
RIVALS! (friends to rivals trope...)
Tutor and student?!
And they were roomates...
Besties OMG!!!
2
My office hours are at BINAB 2.205
False
True
3
Can you use dots over variables as a notation of derivatives?
Sometimes only
No
Yes
4
Find:
-1
1
DNE
0
5
Find the second derivative of y=ln(sin(x))
−cot2(x)−1
−csc2(x)−1
−csc2(x)
cot(x)csc(x)
6
Your professor's last name?
Diamond
Zamfir
Dunno
Zahara
7
A rectangle is to be inscribed under the curve y=4−x
2
in the first quadrant. What dimensions maximize the area?
Width 2, Height 3
Width sqrt(2), Height 3
Width sqrt(2), Height 2
Width sqrt(3), Height 1
8
My name?
Potato
Mary
Mariana
Maria
9
Is calculus 1 hard?
Yes
Depends
Meh
Not at all
10
Who is L'Hôpital's Rule named after?
Guillaume de l'Hôpital
Johann Bernoulli
Isaac Newton
Gottfried Leibniz
11
What is the initial step in the method called "u-substitution"?
Guess the final answer
Let u equal an inside function
Solve for dx immediately
Differentiate the function
12
When are my office hours?
Friday??
Tuesdays!
Wednesdays!
Mondays!
13
A rectangle has a perimeter of 20 meters. What dimensions maximize its area?
10 m × 5 m
7 m × 5 m
5 m × 10 m
5 m × 5 m
14
What is the derivative of f(x)=x
2
x
2
2x
x2
15
Which organelle is known as the powerhouse of the cell?
Ribosome
Golgi apparatus
Mitochondrion
Nucleus
16
Who
actually
discovered the rule that L'Hôpital published under his own name?
Pierre de Fermat
Isaac Newton
Gottfried Leibniz
Johann Bernoulli
17
Which of these series converges? (Cal 2)
∑1/n2
∑n
∑1/n
∑2n
18
Find the gradient of the function f(x,y)=x
2
+y
2
at the point (1,2). (Cal 3)
(4, 2)
(1, 1)
(1, 2)
(2, 4)