stiurca (mas7745) 12.4: Cross Product meth (91825)
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001
to determine a b.
002
10.0 points
Which of the following expr
stiurca (mas7745) 15.3: Double Integrals over General Regions meth (91825)
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001
x2
I=
(5x + 3y ) dy dx .
0
29
20
4.
stiurca (mas7745) 13.2: Derivatives/Integrals of Vector Functions meth (91825)
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001
2. I =
ln 2, , 2
4, 2, 4 ln 2
4.
stiurca (mas7745) 12.5: Lines and Planes meth (91825)
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001
1
Which equation has the surface
z
10.0 points
Which of th
stiurca (mas7745) 10.3: Polar Coordinates meth (91825)
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001
C. TRUE:
4 cos(4/3) = 2 , 4 sin(4/3) = 2 3 .
10.0 points
stiurca (mas7745) 12.3: Dot Product meth (91825)
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001
10.0 points
Which of the following expressions are welldened f
stiurca (mas7745) 10.2: Calculus with Parametric Curves meth (91825)
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001
10.0 points
t
x(t) = te ,
1.
2.
dy
=
dx
et
stiurca (mas7745) 10.1: Parametric Equations meth (91825)
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001
10.0 points
Consequently,
C2
, 2C
4
P=
16 16
,
9
3
=
.
stiurca (mas7745) 10.4: Area/Length in Polar Coordinates meth (91825)
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001
1
i.e. at = /2. Thus the area of the shade
stiurca (mas7745) 12.1: 3-D Coordinate System meth (91825)
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001
10.0 points
5. length = 97
6. length = 88
Explanation
stiurca (mas7745) 11.8: Power Series meth (91825)
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Determine the radius of convergence, R, of
the series
n=1
001
1
(
stiurca (mas7745) 14.5: The Chain Rule meth (91825)
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10.0 points
dw
Use the Chain Rule to nd
when
dt
002
1
10.0 point
stiurca (mas7745) 13.1: Vector Functions meth (91825)
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1
Find the domain of the vector function
r(t) = t2 , t 1, ln(
stiurca (mas7745) 14.1: Functions of Several Variables meth (91825)
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001
2.
1
(x, y ) : x2 + 3y 2 1
2
3.
1
(x, y ) :
stiurca (mas7745) 14.6: Directional Derivatives meth (91825)
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001
10.0 points
and so
1
1
f (2, 3) = i + j .
3
2
On th
stiurca (mas7745) 15.4: Double Integrals in Polar Coordinates meth (91825)
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001
002
10.0 points
Evaluate the integral
stiurca (mas7745) 15.2: Iterated Integrals meth (91825)
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001
1
The graph of the function
z = f (x, y ) = 7 x
is the
stiurca (mas7745) 14.8: Lagrange Multipliers meth (91825)
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001
10.0 points
Use the method of Lagrange multipliers to
stiurca (mas7745) 12.6: Quadric Surfaces meth (91825)
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001
10.0 points
For which of the following quadratic relations
stiurca (mas7745) 14.7: Max and Min Values meth (91825)
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001
10.0 points
In the contour map below identify the
points
stiurca (mas7745) 14.4: Tangent Planes meth (91825)
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001
10.0 points
Find an equation for the tangent plane
at the po
stiurca (mas7745) 14.3: Partial Derivatives meth (91825)
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before answering.
001
002
f (x, y ) =
y
-6
-6
-4
-2
-2
1. fx =
2. fx =
0
3.
stiurca (mas7745) 11.10: Taylor Series meth (91825)
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001
10.0 points
Find the Taylor series for f centered at
x = 6
stiurca (mas7745) 11.11: Taylor Polynomials meth (91825)
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001
and
S ( t) =
10.0 points
The sales S (t) (in hundreds
stiurca (mas7745) 11.9: Representations as Series meth (91825)
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001
with |x| < 3.
002
10.0 points
Evaluate the integr
stiurca (mas7745) 14.4: Tangent Planes meth (91825)
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at the point P (1, 2).
Find an equation for the tangent plane
at
stiurca (mas7745) 14.5: The Chain Rule meth (91825)
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before answering.
1
5.
z
= 6x 9y 3xt + 2yt
s
6.
z
= 6x 9y 3xs + 2ys
s
001
10.0 poi
stiurca (mas7745) 10.3: Polar Coordinates meth (91825)
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001
1.
10.0 points
Which, if any, of
A. (4, /3) ,
B. (4, 13/