Find the standard form of the equation of the ellipse with the given characteristics.
vertices: (–6, –8), (–6, 6) minor axis of length: 10
a. 
b. 
c. 
d. 
e. 
b.
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The position vector of a particle is r(t). Find the requested vector.The velocity at t = 0 for r(t) = ln(t3 - 5t2 + 4)i - 
j - 8cos(t)k
A. v(0) = - 
j
B. v(0) = 
i - 
j
C. v(0) = 
j
D. v(0) = 
i - 
j + 8k
Use spherical coordinates to find the volume of the indicated region.the region enclosed by the sphere 
and the cylinder 
A. 
(3? - 4)
B. 
(3? - 4)
C. 
(3? - 4)
D. 
(3? - 4)
Refer to the weighted voting system 
and the Banzhaf definition of power. (The four players are P1, P2, P3 and P4.)The Banzhaf power distribution of the weighted voting system is
A. P1: 
; P2: 
; P3: 
; P4: 
.
B. P1: 
; P2: 
; P3: 
; P4: 
.
C. P1: 
; P2: 
; P3: 
; P4: 
.
D. P1: 
; P2: 
; P3: 
; P4: 
.
E. none of these
Convert the measurement to degrees Celsius. Round your answer to the nearest tenth of a degree if necessary.57°F
A. 13.9°C B. 0.3°C C. 134.6°C D. 70.6°C