Solve the problem. Assume that relative maximum and minimum values are absolute maximum and minimum values.A flat plate is located on a coordinate plane. The temperature of the plate, in degrees Fahrenheit, at point
is given by
What is the maximum temperature on the plate?
A. 18°
B. 75°
C. No maximum
D. 126°
Answer: C
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Solve the problem. Refer to the table if necessary.Greg plans to contribute $500 per year to a retirement plan and is debating the use of a certificate of deposit that pays 2% per year versus a stock fund that he believes will yield 6% per year. Find the future value after 15 years of the CD and the stock fund.
A. CD: $8,341.07 Stock fund: $10,789.28 B. CD: $8,646.71 Stock fund: $11,637.99 C. CD: $7,986.97 Stock fund: $11,637.99 D. CD: $8,646.71 Stock fund: $13,576.06
Find the indicated maxima or minima.Minimum of f(x,y) = x2 - 14x + y2 - 16y,subject to 2x + 3y = 12
A. -24 when x = 2, y = 0 B. -15 when x = 0, y = 1 C. -61 when x = 3, y = 2 D. -68 when x = 1, y = 5
Find the center, foci, and vertices of the ellipse.4x2 + y2 - 40x + 96 = 0
A. (x - 5)2 + = 1
center: (5, 0); foci: (5, ), (5, -
); vertices:(5, 2), (5, -2)
B. (x - 2)2 + = 1
center: (2, 0); foci: (2, 2), (2, -2
); vertices:(2, 5), (2, -5)
C. + (y - 2)2 = 1
center: (2, 0); foci: (2, 2), (2, -
); vertices:(2, 5),
(2, -5)
D. + (y - 5)2 = 1
center: (5, 0); foci: (5, ), (5, -
); vertices:(5, 2), (5, -2)
Factor completely.392x2 - 200
A. (7x + 5)(56x - 40) B. 8(7x + 5)(7x - 5) C. (56x + 40)(7x - 5) D. 8(7x - 5)2