Find the foci of the ellipse whose equation is given.36(x - 3)2 + 25(y + 1)2 = 900
A. foci at (-3, -1 - ) and (-3, -1 +
)
B. foci at (4, -1 - ) and (4, -1 +
)
C. foci at (3, -1 - ) and (3, -1 +
)
D. foci at (-1, 3 - ) and (-1, 3 +
)
Answer: C
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Solve.Find the center, vertices, foci, and asymptotes of the hyperbola (x - 1)2 - 4(y - 4)2 = 4
A. center at (4, 1)
vertices at (2, 1) and (6, 1)
foci at (4 - , 1) and (4 +
, 1)
asymptotes of y - 1 = - (x - 4) and y - 1 =
(x - 4)
B. center at (1, 4)
vertices at (1, 2) and (1, 6),
foci at (1, 4 - ) and (1, 4 +
),
asymptotes of y + 4 = - 2(x + 1) and y + 4 = 2(x + 1)
C. center at (1, 4)
vertices at (0, 4) and (2, 4)
foci at (1 - , 4) and (1 +
, 4)
asymptotes of y - 4 = - 2(x - 1) and y - 4 = 2(x - 1)
D. center at (1, 4)
vertices at (-1, 4) and (3, 4)
foci at (1 - , 4) and (1 +
, 4)
asymptotes of y - 4 = - (x - 1) and y - 4 =
(x - 1)
Use the rules for exponents to rewrite the expression and then evaluate the new expression.
A. 0 B. -12 C. 1 D. -4
The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question.What percent of students in the college are history majors (to the nearest tenth of a percent)?
A. 24.5% B. 75.5% C. 66.7% D. 32.7%
Use the limit comparison test to determine if the series converges or diverges.
A. Diverges B. Coverges