Charles and Bernice (“Ray") Eames were American designers who made major contributions to modern architecture and furniture design. Suppose that a manufacturer wants to make an Eames elliptical coffee table 90 in. long and 30 in . wide out of an 8 -ft by 4 -ft piece of birch plywood. If the center of a piece of plywood is positioned 0 , 0 , determine the distance from the center at which the foci should be located to draw the ellipse.
Charles and Bernice (“Ray") Eames were American designers who made major contributions to modern architecture and furniture design. Suppose that a manufacturer wants to make an Eames elliptical coffee table 90 in. long and 30 in . wide out of an 8 -ft by 4 -ft piece of birch plywood. If the center of a piece of plywood is positioned 0 , 0 , determine the distance from the center at which the foci should be located to draw the ellipse.
Solution Summary: The author calculates the distance from the centre at which the foci of the elliptical coffee table should be located.
Charles and Bernice (“Ray") Eames were American designers who made major contributions to modern architecture and furniture design. Suppose that a manufacturer wants to make an Eames elliptical coffee table
90
in. long and
30
in
.
wide out of an
8
-ft
by
4
-ft
piece of birch plywood. If the center of a piece of plywood is positioned
0
,
0
, determine the distance from the center at which the foci should be located to draw the ellipse.
Write the given third order linear equation as an equivalent system of first order equations with initial values.
Use
Y1 = Y, Y2 = y', and y3 = y".
-
-
√ (3t¹ + 3 − t³)y" — y" + (3t² + 3)y' + (3t — 3t¹) y = 1 − 3t²
\y(3) = 1, y′(3) = −2, y″(3) = −3
(8) - (888) -
with initial values
Y
=
If you don't get this in 3 tries, you can get a hint.
Question 2
1 pts
Let A be the value of the triple integral
SSS.
(x³ y² z) dV where D is the region
D
bounded by the planes 3z + 5y = 15, 4z — 5y = 20, x = 0, x = 1, and z = 0.
Then the value of sin(3A) is
-0.003
0.496
-0.408
-0.420
0.384
-0.162
0.367
0.364
Question 1
Let A be the value of the triple integral SSS₂ (x + 22)
=
1 pts
dV where D is the
region in
0, y = 2, y = 2x, z = 0, and
the first octant bounded by the planes x
z = 1 + 2x + y. Then the value of cos(A/4) is
-0.411
0.709
0.067
-0.841
0.578
-0.913
-0.908
-0.120
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