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Calculus AB Flashcards | StudBud
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Calculus AB
Calculus AB
26 terms
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A calculus themed Quiz full of fun derivatives, integrals and formulas!!
Flashcards
26 cards
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Questions
26
Answers
1
Who is Dan's godfather?
Bobby C
Uncle Fred
Mr. Laley
THE Mark Crane
2
What is the ∫sec
2
udu
?
no clue
tan u + c
secutanu + c
-cot u + c
3
What is the derivative of (v/u)?
(vu'-uv')/v2
vu'-uv'
(uv-u)/v
(vu'-uv')/v
4
What is the derivative of sinx?
What is a derivative
-cosx
-sinx
cosx
5
What is velocity?
v(x)
a'(x)
s'(x)
∫a(x)dx
6
What is the derivative of 3x
5
+12xy+4x
6
-2=1 ?
15x4+12(dy/dx)+24x5=0
15x4+12xy+24x5=0
15x4+12+24x5=0
15x4+12x(dy/dx)(12y)+24x5=0
7
What is a derivative?
imitative of the work of another person
something that is based on another source
originating from
substance derived chemically
8
What is the derivative of 10x
10
+9x
9
+25x
1/5
+x
7
+36x
2
?
100x9+81x8+5x-4/5+7x6+72x
100x9+81x8+5x-4/5+7x6+72x+c
1000x
100x9+81x8...wait what?
9
What is the derivative of x^n?
nxn-1
Allie has no clue
nxn
Xn
10
Identify what theorem is explained by this formula:
Mean Value Theorem
Rolle's Theorem
Fundamental Theorem of Calculus
Intermediate Value Theorem
11
What is the integral of ∫ tan
udu
?
ln|cscu|
secu +c
-ln|cscu| + c
ln|secu| + c
12
What is the average value theorem?
(total time-final position)/ total time
initial position/ final position
(final position-initial position)/ total time
(initial position-final position)/ total time
13
What is the derivative of ln(3x
2
-2) ?
1/x
6x/3x2-2
ln/3x2-2
3x2/x
14
Identify what theorem is explained by this formula:
Intermediate Value Theorem
Fundamental Theorem of Calc
Mean Value Theorem
Rolle's Theorem
15
What is the product of uv
d/dx(uv)=uv
d/dx(uv)=uv'+vu'
d/dx(uv)=uv-u
d/dx(uv)=?
16
What is the equation for washer method?
Allie has no idea
V=∫(R(x))2-(r(x))2dx
V=π∫(R(x))2-(r(x))2dx
v=π∫(R(x))2-(r(x))2
17
What is 1/(1+x
2
) equaled to?
tan-1x
ax
logax
sin-1x
18
Which is not a Pythag trig identity?
sin2x+cos2x=1
1+tan2x=sec2x
cot2x+1=csc2x
sinx+cosx=tanx
19
What is Allie's horses name?
Dan
Tommy
Remy
Calvin
20
What is the double angle trig identity?
sin2x= 2sinxcosx
sin2x=-sinxcosx
sin2x=2cos2x-1
sin2x=sin2x+cos2x
21
what is the average value formula?
(y2-y1)/(x2-x1)
∫f(x)dx
(1/b-a)∫f(x)
(1/b-a)∫f(x)dx
22
∫cotxdx= ?
-ln|cscx|
ln|sinu|+c
ln|sinu|
-ln|cscx|+c
23
What is the derivative of cot(x)?
cscxcotx
-csc2x
csc2x
cscx
24
What is the derivative of cscx ?
cscxcotx
-cscxcotx
cscx
Cotx
25
What is the derivative of sec(x) ?
tanx
-csc2x
secxtanx
-cscxtanx
26
what does ∫udv equal?
∫udu
uv-∫vdu
What even is this?
uv
