jeopardy!. calc icalc iicalc iiidiff. eq.linear alg. 200 400 600 800 200 400 600 800 200 400 600 800...
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JEOPARDY!
Calc I Calc II Calc III Diff. Eq. Linear Alg.
200
400
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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:
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20 5
)3cos(1lim
x
xx
Calc I : 600Calc I : 600The area underThe area under
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over [ -1over [ -1, 1] .1] .
21
1
xy
Calc I : 800Calc I : 800
The derivative of:The derivative of:
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f(x) = tanf(x) = tan33(ln x)(ln x)
Calc I : 1000Calc I : 1000
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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.
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Calc II : 400Calc II : 400
The value The value of:of:
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dxxex2
1
Calc II : 600Calc II : 600
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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
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2
at
Calc II : 1000Calc II : 1000
The radius of convergence of:The radius of convergence of:
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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
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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
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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:
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dydxeR
yx
2
22 )(
Diff. Eq. : 200Diff. Eq. : 200
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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:
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xxeyx
y 4
'
Diff. Eq. : 800Diff. Eq. : 800
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The general solution of:
03'5"2 yyy
Diff. Eq. : 1000Diff. Eq. : 1000
The Laplace Transform of 1.The Laplace Transform of 1.
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Linear Alg. : 200Linear Alg. : 200
The reduced row echelon form of:The reduced row echelon form of:
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541
631
721
Linear Alg. : 400Linear Alg. : 400
The inverse of the matrix:The inverse of the matrix:
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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:
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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!