Find the location of the indicated absolute extrema for the function.Maximum

A. (-1, 5)
B. (1, 3)
C. None
D. (3, 1)

Answer: A

Mathematics

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Solve.The orbit of a planet around a sun is an ellipse with the sun at one focus. The aphelion of a planet is its greatest distance from the sun, its perihelion is its shortest distance, and its mean distance is the length of the semimajor axis of the elliptical orbit. If a planet has a perihelion of 455.7 million miles and a mean distance of 458 million miles, write an equation for the orbit of the planet around the sun.

A. +  = 1
B. +  = 1
C. +  = 1
D. +  = 1

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Mathematics

Sketch the indicated set. Describe the boundary of the set. Finally, state whether the set is open, closed or neither.D = {(x, y) : 2 < + < 4}

A.

The boundary is the square with vertices
(-4, 0), (0, 4), (4, 0), and (0, -4). The interior
is the set of all points in the region inside
the boundary square. The set is open.
B.

The boundary is the square with vertices
(-2, 0), (0, 2), (2, 0), and (0, -2). The interior
is the set of all points inside the boundary
square. The set is open.
C.

The boundaries are squares. The first has
vertices (-2, 0), (0, 2), (2, 0), and (0, -2)
and the second has vertices (-4, 0), (0, 4),
(4, 0), and (0, -4). The set is open.
D.

The boundaries are squares. The first has
vertices (-2, 0), (0, 2), (2, 0), and (0, -2)
and the second has vertices (-4, 0), (0, 4),
(4, 0), and (0, -4). The set is closed.