x x
Calculus Early Transcendentals Multivariable, 11th Edition Howard Anton, Irl
x x x x x x x x
C. Bivens, Stephen Davis
x x x
Chapterx11-15
Chapterx11 Three-dimensionalxSpace;xVectors
11.1 x RectangularxCoordinatesxinx3-Space;xSpheres;xCylindricalxSurfaces
1) Thexdistancexfromx(6,x8,x11)xtoxthexxy-planexis
A) 6
B) 8
C) 11
D) 14.866069
E) 10
Answer:x x C
Diff:x1 Var:x1
Section:x x 11.1
2) Thexdistancexfromx(6,x0,x8)xtoxthexoriginxis
A) 100
B) 36
C) 110
D) 10
E) 210
Answer:x x D
Diff:x1 Var:x1
Section:x x 11.1
3) Thexdistancexfromx(-5,x-4,x-3)xtoxthexoriginxisxapproximately
A) 2500.00
B) 1681.00
C) 2507.07
D) 7.07
E) 5007.07
Answer:x x D
Diff:x1 Var:x1
Section:x x 11.1
4) Thexsurfacexdescribedxbyx x +x x +x x is
A) axpoint
B) axparabola
C) axcircle
D) axsphere
E) axline
1
,Answer:x x D
Diff:x1 Var:x1
Section:x x 11.1
5) Thexsphericalxsurfacex x +x x +x x isxcenteredxat
A) (0,x0,x0)
B) (1,x1,x1)
C) (4,x-5,x5)
D) (-4,x5,x-5)
E) (4,x4,x4)
Answer:x x D
Diff:x1 Var:x1
Section:x x 11.1
6) Thexgraphxofx x +x x =x3xisxanxinfinitelyxlongxcylinderxwhosexcentralxaxisxisxthe
A) linexxx=xz
B) linexxx=xy
C) x-axis
D) y-axis
E) z-
axisxAnswe
r:x E
Diff:x2 Var:x1
Section:x x 11.1
7) Thexequationxforxthexcylinderxwithxradiusx4xorientedxsymmetricxaboutxthexz-axisxis
A) x + =x4
B) + =x16
C) =x4
D) =x16
E)x4 +x4 x =x1
Answer:x x B
Diff:x2 Var:x1
Section:x x 11.1
8) Thexequationxforxthexcylinderxwithxradiusx4xorientedxsymmetricxaboutxthexx-axisxis
A) + =x16
B) + =x16
C) =x4
D) =x16
2
,E)x4 x +x4 x =x1
Answer:x x A
Diff:x2 Var:x1
Section:x x 11.1
9) Thexequationxforxthexcylinderxwithxradiusx7xorientedxsymmetricxaboutxthexy-axisxis
A) + =x49
B) + =x49
C) =x4
D) =x16
E)x7 +x7 x =x1
Answer:x x B
Diff:x2 Var:x1
Section:x x 11.1
10) Thexdistancexfromxthexspherex x +x x +x x =x1xtoxthexpointx(0,x0,x6)xis
A) 6
B) 5
C) 0
D) 11
E) 1
Answer:x x B
Diff:x3 Var:x1
Section:x x 11.1
11) Thexspherexrepresentedxbyx x -x10xx+x x +x10yx+x x =x3xhasxcenter
A) (5,x-5,x0)
B) (0,x0,x0)
C) (-5,x5,x0)
D) (4,x6,x0)
E) (-4,x-6,x0)
Answer:x x A
Diff:x3 Var:x1
Section:x x 11.1
12) Findxthexequationxofxthexspherexwithxaxdiameterxwhosexendpointsxarex(8,x10,x10)xandx(0,x0,x0).
A) - + =x66
B) + + =x66
C) + + =x66
D) + + =x66
3
, E)x x -x x +x x =x66
Answer:x x C
Diff:x2 Var:x1
Section:x x 11.1
13) Findxthexequationxofxthexspherexwithxaxdiameterxwhosexendpointsxarex(2,x1,x4)xandx(10,x9,x8).
A) - + =x36
B) + + =x36
C) + + =x36
D) + + =x36
E) - + =x36
Answer:x x B
Diff:x2 Var:x1
Section:x x 11.1
14) Thexdistancexfromx(7,x9,x12)xtoxthexxz-planexis
A) 7
B) 9
C) 12
D) 16.552945
E) 11.401754
Answer:x x B
Diff:x1 Var:x1
Section:x x 11.1
15) Thexdistancexfromx(5,x7,x10)xtoxthexyz-planexis
A) 5
B) 7
C) 10
D) 13.190906
E) 8.602325
Answer:x x A
Diff:x1 Var:x1
Section:x x 11.1
4