Find the center, foci, and vertices of the ellipse.36x2 + y2 - 288x + 540 = 0
A. (x - 6)2 + = 1
center: (6, 0); foci: (6, ), (6, -
); vertices:(6, 4), (6, -4)
B. (x - 4)2 + = 1
center: (4, 0); foci: (4, ), (4, -
); vertices:(4, 6), (4, -6)
C. + (y - 4)2 = 1
center: (4, 0); foci: (4, ), (4, -
); vertices:(4, 6), (4, -6)
D. + (y - 6)2 = 1
center: (6, 0); foci: (6, ), (6, -
); vertices:(6, 4),
(6, -4)
Answer: B
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A. 80 B. 40 C. 160 D. 8
A function f(x), a point x0, the limit of f(x) as x approaches x0, and a positive number ? is given. Find a number such that for all x, 0 <
< ? ?
< ?.f(x) = 9x + 3, L = 21, x0 = 2, and ? = 0.01
A. 0.005556 B. 0.001111 C. 0.002222 D. 0.005
Solve the problem.For its regular delivery service, a parcel service charges for the first 5 pounds plus $1.50 for each additional pound. (i) Draw a linear graph that can be used to estimate the cost of parcels weighing 5 to 25 pounds. Use the horizontal axis for the weight and the vertical axis for the cost. (ii) Use the graph to estimate the weight of a parcel which costs
A. (i)
(ii) About 17 lb
B. (i)
(ii) About 7 lb
C. (i)
(ii) About 12 lb
D. (i)
(ii) About 20 lb
Solve.The number of pets (measured in thousands) living in Springfield homes can be approximated by the equation N(x) = 0.17x2 - 0.25x + 198.3, where x is the number of years after 1990. Find
A. N(12) = 2235.3 B. N(12) = 21,480 C. N(12) = 222,530 D. N(12) = 219,780