JEOPARDY !
JEOPARDY!. Calc ICalc IICalc IIIDiff. Eq.Linear Alg. 200 400 600 800 200 400 600 800 200 400 600 800 200 400 600 800 200 400 600 800 1000 JEOPARDY!
Dec 20, 2015
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JEOPARDY!
Calc I Calc II Calc III Diff. Eq. Linear Alg.
200
400
600
800
200
400
600
800
200
400
600
800
200
400
600
800
200
400
600
800
10001000 1000 10001000
JEOPARDY!
Calc I : 200Calc I : 200
The slope of the curveThe slope of the curve
y = xy = x33 at x = 2. at x = 2.
JEOPARDY!
Calc I : 400Calc I : 400
The value of the limit:The value of the limit:
JEOPARDY!
20 5
)3cos(1lim
x
xx
Calc I : 600Calc I : 600The area underThe area under
JEOPARDY!
over [ -1over [ -1, 1] .1] .
21
1
xy
Calc I : 800Calc I : 800
The derivative of:The derivative of:
JEOPARDY!
f(x) = tanf(x) = tan33(ln x)(ln x)
Calc I : 1000Calc I : 1000
JEOPARDY!
The radius of a The radius of a sphere is increasing sphere is increasing at a rate of 3 ft/min. at a rate of 3 ft/min. The volume is The volume is increasing at this increasing at this rate.rate.
Calc II : 200Calc II : 200
The volume of the The volume of the solid obtained by solid obtained by revolving y = xrevolving y = x22 about about the x-axis from the x-axis from
x = 0 to x =1.x = 0 to x =1.
JEOPARDY!
Calc II : 400Calc II : 400
The value The value of:of:
JEOPARDY!
dxxex2
1
Calc II : 600Calc II : 600
JEOPARDY!
The sum of the The sum of the series:series:
22
1
2
3
nn
n
Calc II : 800Calc II : 800 The slope of the polar curveThe slope of the polar curve
)sin(4 r
JEOPARDY!
2
at
Calc II : 1000Calc II : 1000
The radius of convergence of:The radius of convergence of:
JEOPARDY!
1 2
)3(
nn
n
n
x
Calc III : 200Calc III : 200
To maximize f(x,y) To maximize f(x,y) subject to g(x,y)=0 a subject to g(x,y)=0 a rabbit might use this rabbit might use this method.method.
JEOPARDY!
Calc III : 400Calc III : 400
JEOPARDY!
This theorem is used to This theorem is used to convert between surface convert between surface integrals and volume integrals and volume integrals.integrals.
Calc III : 600Calc III : 600
ififyx
z
2
3
JEOPARDY!
34 yxz
Calc III : 800Calc III : 800
The speed of the curve The speed of the curve r(t) = tr(t) = t22ii + cos(t) + cos(t)jj + e + e-t-tkk at t = 0. at t = 0.
JEOPARDY!
Calc III : 1000Calc III : 1000
A polar bear could find A polar bear could find this value:this value:
JEOPARDY!
dydxeR
yx
2
22 )(
Diff. Eq. : 200Diff. Eq. : 200
JEOPARDY!
The solution to the initial value problem:
2)0(,03' yyy
Diff. Eq. : 400Diff. Eq. : 400
JEOPARDY!
The solution to the initial value problem:
3)0(',2)0(,0" yyyy
Diff. Eq. : 600Diff. Eq. : 600
The integrating factor of:The integrating factor of:
JEOPARDY!
xxeyx
y 4
'
Diff. Eq. : 800Diff. Eq. : 800
JEOPARDY!
The general solution of:
03'5"2 yyy
Diff. Eq. : 1000Diff. Eq. : 1000
The Laplace Transform of 1.The Laplace Transform of 1.
JEOPARDY!
Linear Alg. : 200Linear Alg. : 200
The reduced row echelon form of:The reduced row echelon form of:
JEOPARDY!
541
631
721
Linear Alg. : 400Linear Alg. : 400
The inverse of the matrix:The inverse of the matrix:
JEOPARDY!
43
21
Linear Alg. : 600Linear Alg. : 600
The projection of the The projection of the vector 4i – 2j onto the vector 4i – 2j onto the vector i + j.vector i + j.
JEOPARDY!
Linear Alg. : 800Linear Alg. : 800
The eigenvalues of the matrix:The eigenvalues of the matrix:
JEOPARDY!
23
21
Linear Alg. : 1000Linear Alg. : 1000
The value of det(3A) if The value of det(3A) if A is 4x4 and det(A) = A is 4x4 and det(A) = 1/9.1/9.
JEOPARDY!
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