Find the vertices and foci of the given ellipse.
+ y2 = 1
A. Vertices: (
, 0) and (-
, 0);
Foci: (7, 0) and (-7, 0)
B. Vertices: (7, 0) and (-7, 0);
Foci: (4
, 0) and (-4
, 0)
C. Vertices: (0, 7) and (0, -7);
Foci: (0, 4
) and (0, -4
)
D. Vertices: (7, 0) and (-7, 0);
Foci: (
, 0) and (-
, 0)
Answer: B
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Draw an appropriate Venn diagram and use the given information to fill in the number of elements in each region.n(A) = 48, n(B') = 60, n(C) = 51, n(A ? B) = 20, n(B ? C) = 19, n(A ? C) = 18, 
A. 
B. 
C. 
D. 
Find the product.(3n + 8)(6n5)
A. 18n6 + 48n5 B. 66n5 C. 18n + 48 D. 18n6 + 8
For the given functions f and g, find the requested function and state its domain.f(x) = 2x3 - 1; g(x) = 5x2 + 2Find f ? g.
A. (f ? g)(x) = 10x5 + 4x3 - 5x2 - 2; {x|x ? 0} B. (f ? g)(x) = 10x5 + 4x3 - 5x2 - 2; all real numbers C. (f ? g)(x) = 10x6 + 4x3 - 5x2 - 2; all real numbers D. (f ? g)(x) = 2x3 + 5x2 - 2; all real numbers
Determine whether the equation is an identity. If it is an identity, prove it.
+ 
= 2 csc x
What will be an ideal response?